2sqrt (example 3.1)

Time bar (total: 2.4s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (52.7%)

Memory
40.5MiB live, 1 173.8MiB allocated; 926ms collecting garbage
Samples
1.0s8 132×1valid
4.0ms124×0valid
Precisions
Click to see histograms. Total time spent on operations: 812.0ms
ival-add!: 315.0ms (38.8% of total)
ival-sqrt: 262.0ms (32.3% of total)
adjust: 198.0ms (24.4% of total)
ival-sub!: 36.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain102.0ms (4.3%)

Memory
-17.8MiB live, 132.5MiB allocated; 33ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2520-0-(-.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))cancellation2522
Confusion
Predicted +Predicted -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-022
Precision?
0.9921259842519685
Recall?
1.0
Freqs
test
numberfreq
04
1252
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms500×1valid
0.0ms12×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sqrt: 15.0ms (50.9% of total)
adjust: 9.0ms (30.5% of total)
ival-add!: 3.0ms (10.2% of total)
ival-sub!: 2.0ms (6.8% of total)

preprocess75.0ms (3.2%)

Memory
-3.5MiB live, 40.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01226
11626
21926
33326
47626
532124
6282024
7622324
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB 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))

rewrite68.0ms (2.9%)

Memory
25.5MiB live, 69.3MiB 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
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 758 to 195 computations (74.3% saved)

prune11.0ms (0.5%)

Memory
-33.3MiB live, 11.9MiB allocated; 7ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New35843
Fresh000
Picked011
Done000
Total35944
Accuracy
99.8%
Counts
44 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.4%
(/.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)))))
▶7.9%
(/.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)))
4.6%
(-.f64 (sqrt.f64 (/.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)))))) (sqrt.f64 x))
✓6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶3.8%
(-.f64 (sqrt.f64 #s(approx (+ x 1) x)) (sqrt.f64 x))
4.6%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
▶1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶98.1%
#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))
97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 283 to 180 computations (36.4% saved)

series25.0ms (1%)

Memory
37.2MiB live, 37.2MiB allocated; 0ms collecting garbage
Counts
30 → 169
Calls
Call 1
Inputs
#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 (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)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.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)
(/.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)
(*.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 (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 (+ 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 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (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 (/ (- (* (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 (* (sqrt x) (sqrt x)) #s(hole binary64 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 (/ (- (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 (+ 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 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (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 (+ 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 (/ (- (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 (+ 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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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 (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (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 (+ 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 (+ 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 (/ (- (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
10.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (/ (- (* (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) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (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)))
6.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (/ (- (* (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) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (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)))
5.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (/ (- (* (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) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (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)))

rewrite205.0ms (8.6%)

Memory
7.9MiB live, 243.6MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07716154
08294174
148104020
081353837
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
199 → 350
Calls
Call 1
Inputs
#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 (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)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.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)
(/.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)
(*.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 (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 (+ 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 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (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 (/ (- (* (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 (* (sqrt x) (sqrt x)) #s(hole binary64 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 (/ (- (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 (+ 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 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (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 (+ 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 (/ (- (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 (+ 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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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 (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (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 (+ 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 (+ 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 (/ (- (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
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/8 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.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)))
x
#s(literal -1/8 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 #s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x))) x) (+.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (+.f64 x (*.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) (sqrt.f64 x))
(pow.f64 (sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) #s(literal 1 binary64))
(pow.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x))
(exp.f64 (*.f64 (log.f64 #s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)) #s(literal 1/2 binary64)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x)))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) 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 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #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 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 x)) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #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 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
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#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) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
#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))))) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (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 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 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) (* 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) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ 1 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ 1 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) 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))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#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))))) (*.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ 1 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ 1 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) x)))
#s(approx (* (sqrt x) (sqrt x)) (neg.f64 (*.f64 #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)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))) 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))))) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) x) #s(literal -3 binary64))))
#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))))) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ 1 x)) 3) (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 #s(literal -1 binary64) (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)) (*.f64 #s(literal -1 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))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 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 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 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)))

eval52.0ms (2.2%)

Memory
-4.8MiB live, 84.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 15 153 to 1 746 computations (88.5% saved)

prune33.0ms (1.4%)

Memory
-25.3MiB live, 21.1MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4325437
Fresh123
Picked415
Done011
Total4379446
Accuracy
100.0%
Counts
446 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.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)))
✓6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶4.6%
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
98.1%
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
97.8%
#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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
▶3.8%
#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))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
▶97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶97.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 428 to 250 computations (41.6% saved)

series9.0ms (0.4%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
24 → 104
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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#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(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.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 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 (/ (- (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 (* (* 0 (sqrt x)) -1/2) #s(hole binary64 0))
#s(approx (* 0 (sqrt x)) #s(hole binary64 0))
#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) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#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 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 (/ (- (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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 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)) (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 (/ (- (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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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 (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
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))) 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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) (* 0 (sqrt x)) 0 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)))
2.0ms
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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) (* 0 (sqrt x)) 0 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)))
2.0ms
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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) (* 0 (sqrt x)) 0 -1/2 (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (* 1/2 (sqrt x)))

rewrite144.0ms (6.1%)

Memory
-5.8MiB live, 135.5MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05334303
05582741
032952606
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
128 → 162
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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal 0 binary64) (sqrt.f64 x))
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#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(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.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 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 (/ (- (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 (* (* 0 (sqrt x)) -1/2) #s(hole binary64 0))
#s(approx (* 0 (sqrt x)) #s(hole binary64 0))
#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) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#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 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 (/ (- (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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 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)) (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 (/ (- (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 (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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 (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* (sqrt 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)))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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 #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)))))
(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)
x
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(/.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) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 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 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 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 (/ (- (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(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal -1/2 binary64)
#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))))) (/.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(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))))) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#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))))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#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))))) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) 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)) (+.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)))
#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)) #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 (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 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))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 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))))) (-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (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 #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 (+ (* 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 (/ (- (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.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
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#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 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)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 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))))) (/.f64 (+.f64 (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))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
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#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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #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) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) 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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 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))))) (/.f64 (+.f64 (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))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 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))))) (/.f64 (+.f64 (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)))) (/.f64 #s(literal -1/8 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) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) 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))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/48 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) 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))))) (/.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/48 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 1/96 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))))))))) x))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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(literal 0 binary64))
#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))))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)))
#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))))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(literal 0 binary64)) x) #s(literal -1 binary64) #s(literal 0 binary64)))
#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))))) (fma.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 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64)))) x))) x) #s(literal -1 binary64) #s(literal 0 binary64)))
#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)))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 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))))) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#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))))) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 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)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) #s(literal -1 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 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))))) 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))))) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) x) #s(literal -3 binary64))))
#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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64))) (*.f64 #s(literal 9 binary64) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) 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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) 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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -1/3 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 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 27 binary64)) #s(literal 3/16 binary64))))) x))) (fma.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 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 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 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)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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) (* 1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))

eval16.0ms (0.7%)

Memory
33.4MiB live, 33.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 5 401 to 720 computations (86.7% saved)

prune9.0ms (0.4%)

Memory
-30.5MiB live, 14.4MiB allocated; 5ms collecting garbage
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1383141
Fresh022
Picked325
Done112
Total1428150
Accuracy
100.0%
Counts
150 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.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)))
✓6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶4.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
▶98.1%
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶97.5%
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶97.8%
#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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
▶3.8%
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
✓97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Compiler

Compiled 434 to 231 computations (46.8% saved)

series12.0ms (0.5%)

Memory
19.1MiB live, 19.1MiB allocated; 0ms collecting garbage
Counts
21 → 63
Calls
Call 1
Inputs
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64))
#s(literal 0 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)
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
#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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(hole binary64 0))
#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 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (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 (+ (* 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 (/ (- (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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (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 (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) 1/2 (sqrt x) x (/ -1/8 (sqrt x)) -1/8 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) 0 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 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))))) (/ 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 x -1/2) 1/2) (pow x -1/2) -1/2)
4.0ms
x
@-inf
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) 1/2 (sqrt x) x (/ -1/8 (sqrt x)) -1/8 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) 0 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 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))))) (/ 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 x -1/2) 1/2) (pow x -1/2) -1/2)
2.0ms
x
@inf
((/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) 1/2 (sqrt x) x (/ -1/8 (sqrt x)) -1/8 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (* (* 0 (sqrt x)) -1/2) 0 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 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))))) (/ 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 x -1/2) 1/2) (pow x -1/2) -1/2)

rewrite129.0ms (5.4%)

Memory
9.1MiB live, 63.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872949
04041857
023791775
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
84 → 100
Calls
Call 1
Inputs
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64))
#s(literal 0 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)
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(hole binary64 0))
#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 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (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 (+ (* 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 (/ (- (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 (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (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 (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 (* (pow x -1/2) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
Outputs
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (*.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)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.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 x #s(literal 3/2 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))
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 x #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#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))))) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
#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))))) (fma.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#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))))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#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))))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 3/8 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)))))) x (/.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) x (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ -1/8 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64))
#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))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 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))))) (-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (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 #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 (+ (* 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 (/ 1/2 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* (pow x -1/2) 1/2) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (pow x -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 #s(literal -1/48 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (/.f64 (-.f64 (fma.f64 #s(literal -3/4 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (fma.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/48 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/96 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 x)) (*.f64 x x))))))))) x))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (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 1/2 binary64))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.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 1/2 binary64))) 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))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#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))))) (/.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (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 (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 (+ (* 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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) x) #s(literal -3 binary64))))
#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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64))) (*.f64 #s(literal 9 binary64) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))))) (neg.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -3/2 binary64) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 27 binary64)) #s(literal 3/16 binary64))))) x))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal -9 binary64)) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 9 binary64)))) x))) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/8 binary64))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 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))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#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))))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (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 -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)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (* (pow x -1/2) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64)))
#s(approx (pow x -1/2) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))

eval14.0ms (0.6%)

Memory
-21.6MiB live, 23.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 4 489 to 489 computations (89.1% saved)

prune7.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New91091
Fresh000
Picked055
Done033
Total91899
Accuracy
100.0%
Counts
99 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.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)))
✓6.9%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓4.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
✓98.1%
#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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓97.5%
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
✓97.8%
#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))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
✓3.8%
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
✓97.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Compiler

Compiled 672 to 236 computations (64.9% saved)

regimes11.0ms (0.5%)

Memory
-24.4MiB live, 21.6MiB allocated; 3ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
(-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) 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 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 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))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 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) (*.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (sqrt.f64 (/.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)))))) (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)))))
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
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.3%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
(-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) 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 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 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))
Outputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 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))))) (/.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
99.1%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%2x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
(-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#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))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (sqrt.f64 #s(approx (+ x 1) 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 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Outputs
#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))))) (/.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
97.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.5%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
(-.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 (/ (- (pow (sqrt (+ 1 x)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ 1 x)) (sqrt x))))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
Outputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (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
4.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.2%)

Memory
-37.2MiB live, 8.4MiB allocated; 3ms collecting garbage
Accuracy

Total -1.4b remaining (-2.3%)

Threshold costs -1.4b (-2.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
#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(approx (* (* 0 (sqrt x)) -1/2) #s(literal 0 binary64)))
Calls

2 calls:

4.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
3.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.8%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch17.0ms (0.7%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
32441.10167849455
10030021829.374704
Samples
10.0ms144×1valid
Compiler

Compiled 433 to 253 computations (41.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 4.0ms (63.4% of total)
adjust: 2.0ms (31.7% of total)
ival-sub!: 1.0ms (15.8% of total)
ival-add!: 0.0ms (0% of total)

derivations96.0ms (4.1%)

Memory
-19.3MiB live, 75.1MiB allocated; 14ms collecting garbage
Stop Event
1×done
Compiler

Compiled 177 to 48 computations (72.9% saved)

preprocess57.0ms (2.4%)

Memory
33.4MiB live, 77.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 198 to 66 computations (66.7% saved)

end0.0ms (0%)

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

Profiling

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