Main:bigenough3 from C

Time bar (total: 2.9s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.1s (39%)

Memory
-0.3MiB live, 1 331.1MiB allocated; 202ms collecting garbage
Samples
558.0ms4 062×1valid
282.0ms4 194×0valid
0.0ms2×0invalid
Precisions
Click to see histograms. Total time spent on operations: 607.0ms
ival-sqrt: 237.0ms (39% of total)
ival-add: 147.0ms (24.2% of total)
adjust: 140.0ms (23.1% of total)
ival-sub: 74.0ms (12.2% of total)
exact: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain89.0ms (3.1%)

Memory
-23.4MiB live, 218.3MiB allocated; 15ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1230-0-(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))cancellation1230
Confusion
Predicted +Predicted -
+1230
-0133
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12300
-00133
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms246×1valid
15.0ms266×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sqrt: 13.0ms (48% of total)
adjust: 6.0ms (22.1% of total)
ival-add: 4.0ms (14.8% of total)
ival-sub: 3.0ms (11.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess220.0ms (7.5%)

Memory
3.4MiB live, 239.5MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
067
0107
1137
2167
3277
4617
52527
621957
754917
086357
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series5.0ms (0.2%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
2.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite74.0ms (2.6%)

Memory
-0.6MiB live, 97.2MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151679
0156575
0846543
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
37 → 46
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval5.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 793 to 196 computations (75.3% saved)

prune38.0ms (1.3%)

Memory
-17.7MiB live, 24.0MiB allocated; 9ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New39948
Fresh000
Picked011
Done000
Total391049
Accuracy
99.9%
Counts
49 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
▶54.6%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓54.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶3.5%
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
50.7%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
52.0%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶50.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶50.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
48.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 329 to 220 computations (33.1% saved)

series51.0ms (1.8%)

Memory
5.5MiB live, 41.9MiB allocated; 15ms collecting garbage
Counts
29 → 111
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
42.0ms
x
@-inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) -1/8 (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16 (* 1/2 (sqrt x)))
4.0ms
x
@0
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) -1/8 (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16 (* 1/2 (sqrt x)))
3.0ms
x
@inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (* (sqrt x) (sqrt x)) (sqrt x) (+ (sqrt (+ 1 x)) (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) -1/8 (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (sqrt (pow x -3)) (pow x -3) -3 1/16 (* 1/2 (sqrt x)))

rewrite163.0ms (5.6%)

Memory
15.4MiB live, 147.3MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04223210
04662379
023222283
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
140 → 219
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) (+.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
x
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x))) x) (+.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 #s(approx (+ x 1) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 #s(approx (+ x 1) x)) (+.f64 x (*.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(pow.f64 #s(approx (+ x 1) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) x))
#s(approx (+ x 1) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) x))
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64)))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
#s(literal -1/8 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64)))
#s(literal -3 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (* (sqrt x) (sqrt x)) x)
#s(approx (* (sqrt x) (sqrt x)) x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
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#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
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#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (pow x -3)) (pow.f64 x #s(literal -3/2 binary64)))
#s(approx (pow x -3) (pow.f64 x #s(literal -3 binary64)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
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#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
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#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
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#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
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#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
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#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
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#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
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#s(approx (* (sqrt x) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
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#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
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#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
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#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (pow x -3)) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))

eval125.0ms (4.3%)

Memory
6.6MiB live, 106.1MiB allocated; 66ms collecting garbage
Compiler

Compiled 7 606 to 966 computations (87.3% saved)

prune9.0ms (0.3%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2665271
Fresh134
Picked415
Done011
Total27110281
Accuracy
100.0%
Counts
281 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.7%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
▶99.8%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓54.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
50.7%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
▶52.0%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓50.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
3.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
51.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 332 to 230 computations (30.7% saved)

series51.0ms (1.8%)

Memory
-2.8MiB live, 44.0MiB allocated; 14ms collecting garbage
Counts
26 → 169
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
4.0ms
x
@inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
4.0ms
x
@0
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (+ 1 x) x (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (* 1/2 (sqrt x)) (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (pow (sqrt (+ 1 x)) 3) 3 (pow (sqrt x) 3) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))

rewrite220.0ms (7.5%)

Memory
-17.7MiB live, 262.4MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08026511
08434447
150224335
084734138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
195 → 304
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 x)
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 2))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (+ (* x (- (+ (* 3/2 (/ 1 (+ 1 (sqrt x)))) (* x (- (+ (* -1 (* x (+ (* 1/16 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x))))) (* 2 (/ (- (* 3/8 (/ 1 (+ 1 (sqrt x)))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (* 3/8 (/ 1 (+ 1 (sqrt x))))) (+ (* 1/2 (* (sqrt (/ 1 x)) (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 2 (/ (- (* 3/2 (/ 1 (+ 1 (sqrt x)))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x)))))) (+ 1 (sqrt x)))))))) (+ (* 2 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* (sqrt x) (/ 1 (+ 1 (sqrt x))))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 1))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- 3/2 (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* 3/8 x)) (sqrt x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ 1 (* x (- (+ 3/2 (* x (+ 3/8 (* -1/16 x)))) (sqrt x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))) (* 1/4 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/4 (sqrt (/ 1 x))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2)))))) x)))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (- (+ (* -3/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))) (+ (* -1/24 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 3))) (+ (* -1/48 (sqrt (/ 1 (pow x 3)))) (+ (* 1/96 (sqrt (/ 1 (pow x 5)))) (+ (* 1/4 (sqrt (/ 1 x))) (+ (* 1/2 (/ (- (* 1/6 (* (sqrt x) (- 1 (* 9/4 x)))) (+ (* -1/48 (sqrt x)) (* 1/2 (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x)))))) (pow x 3))) (* 1/2 (/ (- (* 1/2 (sqrt x)) (* 1/4 (sqrt x))) (pow x 2))))))))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (+ (* -9/4 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt x)) (* 3/2 (sqrt (/ 1 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4)))) (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* x (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) (+ (* 3/16 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3)))) (* 3/2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (+ (* -9/4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 3))) (* -1/8 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))))) x)) (* 3/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2)))) x)) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1))))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 4))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt x) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 4))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Outputs
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (fabs.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (sqrt.f64 x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) x) (+.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 (-.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) (sqrt.f64 x)) x #s(literal 1 binary64)))
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#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
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#s(approx (pow (sqrt x) 3) (pow.f64 x #s(literal 3/2 binary64)))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (+ 1 x) x)
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
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#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x))
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#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
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#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))
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#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (fma.f64 #s(literal -9/4 binary64) (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1/2 binary64)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 x x)))
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#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
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#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
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#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/8 binary64))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) x) #s(literal -3 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 9 binary64) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 27 binary64)) #s(literal 3/16 binary64))))) x))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal -27 binary64)) #s(literal -9/4 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/2 binary64)))) x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -5/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -9/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt x) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3/2 binary64) x)) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) x) #s(literal -1 binary64) #s(literal -3 binary64)) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal -3 binary64)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)) x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal -2 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) x)))

eval74.0ms (2.5%)

Memory
28.1MiB live, 167.5MiB allocated; 20ms collecting garbage
Compiler

Compiled 19 753 to 1 928 computations (90.2% saved)

prune26.0ms (0.9%)

Memory
-1.1MiB live, 42.5MiB allocated; 10ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New5377544
Fresh123
Picked145
Done022
Total53915554
Accuracy
100.0%
Counts
554 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.9%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
▶53.3%
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
▶99.7%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓99.8%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶58.5%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
▶53.3%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
✓54.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
50.7%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓52.0%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶3.1%
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
✓50.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
3.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
Compiler

Compiled 548 to 329 computations (40% saved)

series195.0ms (6.7%)

Memory
-34.4MiB live, 79.0MiB allocated; 175ms collecting garbage
Counts
33 → 231
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (+.f64 x #s(literal 1 binary64)) x)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (pow (sqrt x) 1/2) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* x (- (+ 1/16 (* 1/4 (/ 1 (+ 1 (sqrt x))))) (* 1/4 (/ 1 (+ 1 (sqrt x)))))) 1/8))))) (sqrt x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* (+ 1 (sqrt x)) (- 1 (sqrt x)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (* 2 (- 1 (sqrt x))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (+ (* 2 (- 1 (sqrt x))) (* x (+ 1 (+ (* -1/8 (+ 1 (sqrt x))) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (+ (* 2 (- 1 (sqrt x))) (* x (+ 1 (+ (* -1/8 (+ 1 (sqrt x))) (+ (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* x (- (+ (* 1/16 (+ 1 (sqrt x))) (* 1/4 (sqrt (/ 1 x)))) 1/4))))))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (+ x 1) x) #s(hole binary64 1))
#s(approx (+ (+ x 1) x) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (* (+ x 1) x) #s(hole binary64 x))
#s(approx (* (+ x 1) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* x (+ 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* x (+ 1/2 (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (* x (+ 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 x))) (+ (* -3/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* 3 x)))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ x 1) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x 1) x) #s(hole binary64 (* x (+ 2 (/ 1 x)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 x))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (+ x 1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (pow (sqrt x) 1/2) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) x)) (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/16 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 1/32 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/8 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/32 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) x)) (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (pow (sqrt -1) 2)))) (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 3/4 (sqrt x))) x)) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (pow (sqrt -1) 2)))) (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))))) x)) (* 3/4 (sqrt x))) x)) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) 2)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (+ 2 (* 3/2 (/ 1 x))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
152.0ms
x
@0
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) (pow (sqrt x) 1/2) (sqrt x) x 1/2 (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (+ (+ x 1) x) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
29.0ms
x
@-inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) (pow (sqrt x) 1/2) (sqrt x) x 1/2 (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (+ (+ x 1) x) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))
9.0ms
x
@inf
((/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) 1 (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) (pow (sqrt x) 1/2) (sqrt x) x 1/2 (sqrt (+ x 1)) (+ x 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x)) (+ (+ (* 1/2 x) (sqrt x)) 1) (+ (* 1/2 x) (sqrt x)) (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (+ (+ x 1) x) (sqrt (* (+ x 1) x)) (* (+ x 1) x) (- (sqrt (+ x 1)) (sqrt x)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (sqrt (+ 1 x)) (+ 1 x) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt x)))

rewrite165.0ms (5.7%)

Memory
13.3MiB live, 150.4MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08188632
08746062
048705809
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
264 → 394
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (+.f64 x #s(literal 1 binary64)) x)
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 1))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (pow (sqrt x) 1/2) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* x (- (+ 1/16 (* 1/4 (/ 1 (+ 1 (sqrt x))))) (* 1/4 (/ 1 (+ 1 (sqrt x)))))) 1/8))))) (sqrt x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* (+ 1 (sqrt x)) (- 1 (sqrt x)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (* 2 (- 1 (sqrt x))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (+ (* 2 (- 1 (sqrt x))) (* x (+ 1 (+ (* -1/8 (+ 1 (sqrt x))) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* x (+ (* 1/2 (+ 1 (sqrt x))) (+ (* 2 (- 1 (sqrt x))) (* x (+ 1 (+ (* -1/8 (+ 1 (sqrt x))) (+ (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* x (- (+ (* 1/16 (+ 1 (sqrt x))) (* 1/4 (sqrt (/ 1 x)))) 1/4))))))))) (* (+ 1 (sqrt x)) (- 1 (sqrt x))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (+ (+ x 1) x) #s(hole binary64 1))
#s(approx (+ (+ x 1) x) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (* (+ x 1) x) #s(hole binary64 x))
#s(approx (* (+ x 1) x) #s(hole binary64 (* x (+ 1 x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 2 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* 1/2 (sqrt x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 2 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ x (sqrt x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* 1/2 (sqrt x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (sqrt x) (* x (+ 1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* x (+ 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* x (+ 1/2 (+ (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (* x (+ 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 3/2 (sqrt x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 x))) (+ (* -3/16 (sqrt (/ 1 (pow x 3)))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 1/32 (sqrt (/ 1 (pow x 5)))) (+ (* 3/4 (sqrt (/ 1 x))) (* 3/2 (sqrt x)))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* 3 x)))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (+ (+ x 1) x) #s(hole binary64 (* 2 x)))
#s(approx (+ (+ x 1) x) #s(hole binary64 (* x (+ 2 (/ 1 x)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 x))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (+ x 1) x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ x 1) x) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* 3 x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (+ 3 (* 3/2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (* 3/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* x (- (+ 3 (+ (* 3/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* 2 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 x))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (pow (sqrt x) 1/2) (pow (sqrt x) 1/2)) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (pow (sqrt x) 1/2) #s(hole binary64 (* (pow (* -1 x) 1/4) (sqrt (sqrt -1)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (+ 1/2 (/ 1 x)))))))
#s(approx (+ (* 1/2 x) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) 1/2)))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) x)) (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3/16 (* (sqrt (pow x 3)) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 1/32 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 4) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/8 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))) (+ (* 1/32 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 4) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1)))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) (- (* 2 (pow (sqrt -1) 2)) 1)))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) (* -1/16 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))))) (+ (* -1/16 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (* (pow (sqrt -1) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (* 3/2 (/ (- (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1)))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) (- (* 2 (pow (sqrt -1) 2)) 1))))) x)) (* 3/4 (* (sqrt x) (/ 1 (- (* 2 (pow (sqrt -1) 2)) 1))))) (* 3/4 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (pow (- (* 2 (pow (sqrt -1) 2)) 1) 2))))) x)) (* 1/2 (* (sqrt x) (/ (- (pow (sqrt -1) 2) 2) (- (* 2 (pow (sqrt -1) 2)) 1))))) x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2)))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -3/4 (sqrt (/ 1 x))) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (pow (sqrt -1) 2)))) (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 3/4 (sqrt x))) x)) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* 1/32 (* (sqrt x) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/8 (* (sqrt (pow x 3)) (/ (- (pow (sqrt -1) 2) 2) (pow (sqrt -1) 2)))) (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))))) x)) (* 3/4 (sqrt x))) x)) (* 1/2 (* (sqrt x) (- (pow (sqrt -1) 2) 2))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) 2)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (+ 2 (* 3/2 (/ 1 x))))))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2)) 2)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (* (+ x 1) x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (+ 1 (* 3/2 (/ 1 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (+ 3/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2))) 1)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -2 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (- (* 2 (pow (sqrt -1) 2)) (* 1/2 (/ 1 x)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (* 2 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Outputs
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 x (-.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (-.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (pow (sqrt x) 1/2) (pow.f64 x #s(literal 1/4 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (fma.f64 #s(literal 1/2 binary64) x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (+ (* 1/2 x) (sqrt x)) (sqrt.f64 x))
#s(approx (+ (* 1/2 x) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (-.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (fma.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) x))) #s(literal 1 binary64)) x (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (+ x 1) x) #s(literal 1 binary64))
#s(approx (+ (+ x 1) x) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (sqrt.f64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (* (+ x 1) x) x)
#s(approx (* (+ x 1) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 #s(literal 2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (sqrt.f64 x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (+.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) x (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (sqrt.f64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/16 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) x))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) x))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) x))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ (* 1/2 x) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) x))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -3/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/32 binary64) (fma.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x))))))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (+ x 1) x) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (+ x 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (+ x 1) x) (*.f64 x x))
#s(approx (* (+ x 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/2 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 3/2 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (pow (sqrt x) 1/2) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3/2 binary64))))) x))) x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (+ (* 1/2 x) (sqrt x)) 1) (*.f64 (neg.f64 x) (-.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* 1/2 x) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1/16 binary64)))) x) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) x))) x)))
#s(approx (/ (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/32 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -3/16 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal 3 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1/16 binary64)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/32 binary64))))) x) #s(literal -1 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -3 binary64)) #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1/16 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal 3/4 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) x))) x)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) x))) x))))
#s(approx (* (+ (+ (+ x 1) x) (sqrt (* (+ x 1) x))) (- (sqrt (+ x 1)) (sqrt x))) (fma.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 3/4 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) x) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) x))) x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) #s(literal -3 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 3/2 binary64)) x) #s(literal -1 binary64) #s(literal -3 binary64))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -3 binary64))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (neg.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) #s(literal -3 binary64)))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 3/2 binary64) x))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 3/2 binary64)) x) #s(literal -1 binary64) #s(literal -3 binary64))))
#s(approx (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -3 binary64))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (neg.f64 x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64))))
#s(approx (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -2 binary64))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (neg.f64 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (* (sqrt (+ 1 x)) (sqrt x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x) #s(literal -1 binary64) #s(literal -1 binary64))))

eval58.0ms (2%)

Memory
-1.8MiB live, 88.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 19 786 to 1 698 computations (91.4% saved)

prune18.0ms (0.6%)

Memory
-7.9MiB live, 38.9MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New4633466
Fresh134
Picked235
Done066
Total46615481
Accuracy
100.0%
Counts
481 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.4%
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)))
53.3%
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x)))
99.7%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
✓99.8%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓58.5%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
✓53.3%
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
✓54.4%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
50.7%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
✓52.0%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓3.1%
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
✓50.0%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
✓51.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
3.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
Compiler

Compiled 881 to 324 computations (63.2% saved)

regimes13.0ms (0.4%)

Memory
19.7MiB live, 19.7MiB allocated; 0ms collecting garbage
Counts
25 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x)) x)))
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 x) x)) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
Outputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.8%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) #s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.4%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.4%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.3%)

Memory
-40.3MiB live, 10.2MiB allocated; 6ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -3)) 1/16) (* 1/2 (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Calls

2 calls:

5.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
97.9%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.9%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.6%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.6%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
52.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
52.0%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Accuracy

Total -30.9b remaining (-96.7%)

Threshold costs -30.9b (-96.7%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
50.0%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
50.0%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch17.0ms (0.6%)

Memory
21.2MiB live, 21.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
3016093.055708846
80275154835.63864
Samples
10.0ms128×1valid
Compiler

Compiled 162 to 154 computations (4.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sqrt: 3.0ms (43.6% of total)
adjust: 2.0ms (29% of total)
ival-sub: 1.0ms (14.5% of total)
ival-add: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.4%)

Memory
-35.1MiB live, 11.0MiB allocated; 3ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.331309070142563
3.440252969481124
Samples
4.0ms96×0valid
Compiler

Compiled 172 to 154 computations (10.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (44.9% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.3%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
6.0ms
0.331309070142563
3.440252969481124
Samples
3.0ms80×0valid
Compiler

Compiled 154 to 142 computations (7.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (54.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify53.0ms (1.8%)

Memory
4.5MiB live, 49.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041118
167118
2126116
3285114
4513114
53338114
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 70000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
(/.f64 #s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal 70000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 5404319552844595/4503599627370496 binary64)) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))

derivations18.0ms (0.6%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 128 to 42 computations (67.2% saved)

preprocess43.0ms (1.5%)

Memory
-32.7MiB live, 63.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 288 to 110 computations (61.8% saved)

end0.0ms (0%)

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

Profiling

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