Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample610.0ms (32.4%)

Memory
28.2MiB live, 791.5MiB allocated; 96ms collecting garbage
Samples
381.0ms8 253×0valid
0.0ms2valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-sqrt: 85.0ms (39.8% of total)
ival-add!: 73.0ms (34.2% of total)
ival-div!: 54.0ms (25.3% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain98.0ms (5.2%)

Memory
-22.2MiB live, 119.0MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 4.0ms (40.4% of total)
ival-add!: 3.0ms (30.3% of total)
ival-div!: 3.0ms (30.3% of total)
adjust: 0.0ms (0% of total)

preprocess58.0ms (3.1%)

Memory
-17.5MiB live, 29.1MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01229
12427
23427
36027
413827
559724
6553424
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.3%)

Memory
18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Counts
6 → 41
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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)))))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite114.0ms (6.1%)

Memory
-23.3MiB live, 138.4MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210968
0215773
01342741
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
47 → 57
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 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)))))))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (+ 1 (sqrt (+ x 1))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x)))
#s(approx (sqrt (+ x 1)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) 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 (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
#s(approx (sqrt (+ x 1)) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) #s(literal -1 binary64)))

eval7.0ms (0.4%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 174 to 280 computations (76.1% saved)

prune15.0ms (0.8%)

Memory
-11.2MiB live, 34.7MiB allocated; 2ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56460
Fresh000
Picked101
Done000
Total57461
Accuracy
100.0%
Counts
61 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.7%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
73.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.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)))))))
36.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
63.9%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Compiler

Compiled 89 to 54 computations (39.3% saved)

series30.0ms (1.6%)

Memory
4.7MiB live, 56.4MiB allocated; 6ms collecting garbage
Counts
36 → 219
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
x
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.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) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (/.f64 (+.f64 #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 #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) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) x)
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (pow x 1/2) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 1))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 1))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (+ 1 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 1))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* x (- x 1))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 2))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 1))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 1))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 1))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 x))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (pow x 3)))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 x))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #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 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (pow x 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)) (/ 1 (pow x 2))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (+ 1 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (+ 1 x) 1/2) #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 (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #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 (* 1 (pow (+ 1 x) 1/2)) #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)))))))))
Calls

3 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 x 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) 1 (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) (+ 1 (pow x 3)) (pow x 3) 3 (+ 1 (- (* x x) (* 1 x))) (- (* x x) (* 1 x)) (* x x) (* 1 x) (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))
7.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 x 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) 1 (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) (+ 1 (pow x 3)) (pow x 3) 3 (+ 1 (- (* x x) (* 1 x))) (- (* x x) (* 1 x)) (* x x) (* 1 x) (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))
3.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 x 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (- (pow x 1/2) 1) (pow x 1/2) 1 (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) (+ 1 (pow x 3)) (pow x 3) 3 (+ 1 (- (* x x) (* 1 x))) (- (* x x) (* 1 x)) (* x x) (* 1 x) (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))

rewrite187.0ms (10%)

Memory
10.3MiB live, 288.1MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08177572
08685061
047144873
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
255 → 404
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
x
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.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) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (/.f64 (+.f64 #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 #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) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) x)
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (pow x 1/2) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 1))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 1))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 1))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (+ 1 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 1))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* x (- x 1))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1 x) #s(hole binary64 x))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 2))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 1))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 1))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 1))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (sqrt x)))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 x))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (pow x 3)))
#s(approx (+ 1 (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* 1 x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 x))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #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 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (pow x 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (pow x 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (pow x 3)) (+ 1 (- (* x x) (* 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 (+ 1 (- (* x x) (* 1 x))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 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)) (/ 1 (pow x 2))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (+ 1 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (+ 1 x) 1/2) #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 (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) #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 (* 1 (pow (+ 1 x) 1/2)) #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)))))))))
Outputs
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x)))))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(fma.f64 x (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal 1/64 binary64)) (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 x (*.f64 #s(literal -5/128 binary64) x)))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
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#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (-.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/128 binary64)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64))) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64))) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (*.f64 x x) #s(literal -5/128 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 x x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (*.f64 x x) #s(literal -5/128 binary64)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -5/128 binary64) x))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)) #s(literal 5/128 binary64)) x))
#s(approx (- (pow x 1/2) 1) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (- (pow x 1/2) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (expm1.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (-.f64 (fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x)))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) x)
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (pow x 3)) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ 1 (pow x 3)) (*.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ 1 (- (* x x) (* 1 x))) (*.f64 x x))
#s(approx (+ 1 (- (* x x) (* 1 x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ 1 (- (* x x) (* 1 x))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (- (* x x) (* 1 x)) (*.f64 x x))
#s(approx (- (* x x) (* 1 x)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))))) x))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -4 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)))))) x))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (pow.f64 x #s(literal 1/2 binary64)))
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#s(approx (* 1 (pow (+ 1 x) 1/2)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) x)
#s(approx (/ (+ 1 (pow x 3)) (+ 1 (- (* x x) (* 1 x)))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x))
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) x)
#s(approx (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (pow.f64 x #s(literal 1/2 binary64)))
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#s(approx (* 1 (pow (+ 1 x) 1/2)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))) x)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/16 binary64)) x) #s(literal -1 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) x) #s(literal -1 binary64)) #s(literal 1/16 binary64)) x) #s(literal -1 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 5/128 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) x) #s(literal -1 binary64) #s(literal 5/128 binary64))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/8 binary64)) #s(literal 1/16 binary64)) x) #s(literal -1 binary64)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/16 binary64))) x) #s(literal -1 binary64)))
#s(approx (- (pow x 1/2) 1) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (- (pow x 1/2) 1) (*.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (pow x 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ x (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (/ (+ 1 (pow (pow (+ 1 x) 1/2) 3)) (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))))) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
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#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
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#s(approx (+ 1 (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2)))) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (* (pow (+ 1 x) 1/2) (pow (+ 1 x) 1/2)) (* 1 (pow (+ 1 x) 1/2))) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)) x) (/.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) x) #s(literal -1 binary64)))
#s(approx (* 1 (pow (+ 1 x) 1/2)) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) x) #s(literal -1 binary64)))

eval75.0ms (4%)

Memory
-24.8MiB live, 120.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 896 to 1 752 computations (86.4% saved)

prune306.0ms (16.3%)

Memory
-1.4MiB live, 530.1MiB allocated; 24ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New3621363
Fresh000
Picked134
Done000
Total3634367
Accuracy
100.0%
Counts
367 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.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)))))))
88.7%
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
36.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
63.9%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Compiler

Compiled 82 to 52 computations (36.6% saved)

series9.0ms (0.5%)

Memory
20.4MiB live, 20.5MiB allocated; 0ms collecting garbage
Counts
12 → 88
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
x
(+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
Outputs
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 2))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 1))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt x) (+ 1 (* 3/2 (sqrt x))))) (+ (* 1/2 x) (* 3/2 (sqrt x)))) (pow x 3))) (* 2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 x))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (/ 1 x) (/ 2 (pow x 2))))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* 2 (sqrt (/ 1 x)))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* 2 (sqrt x)) (+ 1 (* 3/2 (sqrt x))))) (* -1 (/ (+ (* -3/2 (sqrt x)) (+ (* -1 (* (sqrt x) (+ 1 (* 3/2 (sqrt x))))) (* -1/2 (/ x (pow (sqrt -1) 2))))) x))) x))) x)))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)) (/ 1 (pow x 2))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (+ 1 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (+ 1 x) 1/2) #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 (pow (+ 1 x) 1/2) #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 (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (/ 1 x))) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x))) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) x (+ (pow (pow (+ 1 x) 1/2) 3) 1) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) 1 1/2 3 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (- (pow (+ 1 x) 1/2) 1))
3.0ms
x
@-inf
((* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) x (+ (pow (pow (+ 1 x) 1/2) 3) 1) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) 1 1/2 3 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (- (pow (+ 1 x) 1/2) 1))
1.0ms
x
@0
((* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) x (+ (pow (pow (+ 1 x) 1/2) 3) 1) (pow (pow (+ 1 x) 1/2) 3) (pow (+ 1 x) 1/2) (+ 1 x) 1 1/2 3 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (- (pow (+ 1 x) 1/2) 1))

rewrite97.0ms (5.2%)

Memory
-13.8MiB live, 127.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04482816
04652308
028832168
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
100 → 132
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
x
(+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* -3/8 x)))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* 3/16 x) 3/8))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 3/16 (* -7/128 x))) 3/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 2))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 1))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 1))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 1))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1 (* (sqrt x) (+ 1 (* 3/2 (sqrt x))))) (+ (* 1/2 x) (* 3/2 (sqrt x)))) (pow x 3))) (* 2 (sqrt (/ 1 (pow x 3)))))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 1 (pow x 2))))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (/ (+ x (* 3/2 (sqrt (pow x 3)))) (pow x 2)))) x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1 (* (sqrt x) (* (+ 1 (* 3/2 (sqrt x))) (+ x (* 3/2 (sqrt (pow x 3))))))) (* 1/2 (* (sqrt (pow x 3)) (- 1 (* 9/4 x))))) (pow x 4)))) (+ (* 3/2 (sqrt (/ 1 x))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))) x)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) #s(hole binary64 (sqrt x)))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (pow (+ 1 x) 1/2) #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 (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 x))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (/ 1 x) (/ 2 (pow x 2)))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (/ 1 x) (/ 2 (pow x 2))))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (- (+ 1 (* 2 (sqrt (/ 1 x)))) (+ (* 3/2 (sqrt (/ 1 x))) (/ 1 x))) x)))))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (- (* 2 (sqrt x)) (+ 1 (* 3/2 (sqrt x))))) (* -1 (/ (+ (* -3/2 (sqrt x)) (+ (* -1 (* (sqrt x) (+ 1 (* 3/2 (sqrt x))))) (* -1/2 (/ x (pow (sqrt -1) 2))))) x))) x))) x)))))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2))))) x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2))))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) #s(hole binary64 (* -1 (/ (- (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (sqrt x) (/ (pow (+ 1 (* 3/2 (sqrt x))) 2) (pow (sqrt -1) 2)))) (* 3/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow x 3)))) (/ (+ 1 (* 3/2 (sqrt x))) (* x (pow (sqrt -1) 2)))) x))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)) (/ 1 (pow x 2))))))))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) #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)) (/ 1 (pow x 2))))))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (pow (+ 1 x) 1/2) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (pow (+ 1 x) 1/2) 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 (pow (+ 1 x) 1/2) 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 (+ 1 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow (+ 1 x) 1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (+ 1 x) 1/2) #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 (pow (+ 1 x) 1/2) #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 (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 2 (/ 1 x))) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x))) x)) (* -1 (/ (pow (sqrt -1) 2) x))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (pow (+ 1 x) 1/2) 1) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
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x
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(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 3 binary64)
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#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x))
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#s(approx x x)
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#s(approx (pow (pow (+ 1 x) 1/2) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
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#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (pow (+ 1 x) 1/2) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (pow (+ 1 x) 1/2) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (pow (+ 1 x) 1/2) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (pow (+ 1 x) 1/2) (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 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 (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) x)
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (pow.f64 x #s(literal 1/2 binary64)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (*.f64 (*.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (pow.f64 x #s(literal -1 binary64))) x)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (* (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1)) (*.f64 (*.f64 #s(literal -1 binary64) x) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) x))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) x) #s(literal -1 binary64)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (*.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (/ x (+ (pow (pow (+ 1 x) 1/2) 3) 1)) (*.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64)))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (+ (pow (pow (+ 1 x) 1/2) 3) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (fma.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
#s(approx (pow (pow (+ 1 x) 1/2) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 1/2 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (*.f64 x x)))
#s(approx (pow (+ 1 x) 1/2) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (pow (+ 1 x) 1/2) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)))
#s(approx (pow (+ 1 x) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64)))
#s(approx (pow (+ 1 x) 1/2) (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) x) #s(literal -1 binary64)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (*.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) x) (/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (+ (* (pow (+ 1 x) 1/2) (- (pow (+ 1 x) 1/2) 1)) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) x) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64)))
#s(approx (- (pow (+ 1 x) 1/2) 1) (*.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64)))

eval29.0ms (1.6%)

Memory
1.4MiB live, 50.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 475 to 826 computations (88.9% saved)

prune149.0ms (7.9%)

Memory
-8.1MiB live, 280.4MiB allocated; 9ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1920192
Fresh000
Picked011
Done033
Total1924196
Accuracy
100.0%
Counts
196 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.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)))))))
88.7%
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
36.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
63.9%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Compiler

Compiled 205 to 102 computations (50.2% saved)

regimes5.0ms (0.3%)

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

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
99.7%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory
8.2MiB live, 8.2MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 x (+.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
100.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
100.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
99.3%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.3%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Calls

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
63.9%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
63.9%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch5.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
1847632590163.9924
14548131227678844.0
Samples
2.0ms64×0valid
Compiler

Compiled 171 to 110 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
adjust: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch14.0ms (0.8%)

Memory
-22.6MiB live, 25.0MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.5115461264503907e-9
931967.6855229381
Samples
6.0ms160×0valid
Compiler

Compiled 371 to 300 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sqrt: 1.0ms (33.8% of total)
ival-add!: 1.0ms (33.8% of total)
ival-div!: 1.0ms (33.8% of total)
adjust: 0.0ms (0% of total)

derivations24.0ms (1.3%)

Memory
-13.0MiB live, 36.5MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 114 to 39 computations (65.8% saved)

preprocess32.0ms (1.7%)

Memory
23.9MiB live, 71.0MiB allocated; 2ms collecting garbage
Compiler

Compiled 244 to 90 computations (63.1% saved)

end0.0ms (0%)

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

Profiling

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