2isqrt (example 3.6)

Time bar (total: 3.3s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (47.1%)

Memory
38.4MiB live, 2 055.9MiB allocated; 414ms collecting garbage
Samples
765.0ms6 173×1valid
459.0ms1 981×2valid
5.0ms102×0valid
Precisions
Click to see histograms. Total time spent on operations: 993.0ms
ival-sqrt: 357.0ms (36% of total)
adjust: 319.0ms (32.1% of total)
ival-div!: 204.0ms (20.5% of total)
ival-add!: 74.0ms (7.5% of total)
ival-sub!: 39.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain143.0ms (4.3%)

Memory
15.5MiB live, 206.8MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1710-0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))cancellation1710
Confusion
Predicted +Predicted -
+1710
-085
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+17100
-0085
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
085
1171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms376×1valid
23.0ms134×2valid
0.0ms0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
adjust: 19.0ms (34.9% of total)
ival-sqrt: 19.0ms (34.9% of total)
ival-div!: 11.0ms (20.2% of total)
ival-add!: 3.0ms (5.5% of total)
ival-sub!: 2.0ms (3.7% of total)

preprocess57.0ms (1.7%)

Memory
-31.8MiB live, 14.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01638
12038
22338
34538
413438
5108435
6571735
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series7.0ms (0.2%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Counts
8 → 44
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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
4.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite60.0ms (1.8%)

Memory
26.5MiB live, 72.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131066
0222934
01281890
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
52 → 68
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (+ x 1))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))))

eval30.0ms (0.9%)

Memory
-33.6MiB live, 20.6MiB allocated; 32ms collecting garbage
Compiler

Compiled 1 379 to 307 computations (77.7% saved)

prune9.0ms (0.3%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New491362
Fresh000
Picked011
Done000
Total491463
Accuracy
82.0%
Counts
63 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
40.9%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
39.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
5.3%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
3.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
2.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
32.9%
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
2.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
81.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
81.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
64.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 565 to 396 computations (29.9% saved)

series30.0ms (0.9%)

Memory
-0.0MiB live, 48.0MiB allocated; 3ms collecting garbage
Counts
46 → 193
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (* (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
12.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
8.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
6.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) (sqrt (pow x -1)) (pow x -1) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite133.0ms (4%)

Memory
-9.8MiB live, 131.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06826257
07484871
037864750
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
239 → 393
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- 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 x) 1) (- 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 x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (pow x -1)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (pow x -1)) #s(hole binary64 (* (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
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x) x)
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -5/2 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
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#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x)) (fma.f64 (*.f64 (pow.f64 x #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) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)) (fma.f64 (*.f64 (pow.f64 x #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) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) x)))
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #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(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64))) x)))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 (*.f64 (pow.f64 x #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))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (pow x -3)) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (* 1/2 x) 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt x) -1) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))

eval40.0ms (1.2%)

Memory
23.7MiB live, 69.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 14 466 to 1 836 computations (87.3% saved)

prune22.0ms (0.6%)

Memory
-13.0MiB live, 33.9MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New31113324
Fresh628
Picked505
Done101
Total32315338
Accuracy
99.7%
Counts
338 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
32.9%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
99.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x) x))
77.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
46.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
32.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))) (*.f64 x x)))
80.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
64.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
99.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
14.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
3.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 1 296 to 850 computations (34.4% saved)

series23.0ms (0.7%)

Memory
-8.3MiB live, 38.3MiB allocated; 2ms collecting garbage
Counts
44 → 159
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))
(sqrt.f64 x)
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (pow x -3)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 3/8 (sqrt (pow x 3)))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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)))))))))
#s(approx (* (sqrt (pow x -3)) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -3/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (sqrt (pow x -3)) (pow x -3) -3 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x x))
5.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (sqrt (pow x -3)) (pow x -3) -3 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x x))
5.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) 1 (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (pow x -3)) 1/2) (sqrt (pow x -3)) (pow x -3) -3 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) -5 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* (sqrt x) 3/8) (* -1/2 (sqrt x)) (* x x))

rewrite117.0ms (3.5%)

Memory
37.4MiB live, 131.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06045804
06554768
033814521
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
203 → 346
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))
(sqrt.f64 x)
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (pow x -3)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 3/8 (sqrt (pow x 3)))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/2 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (* (sqrt x) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) x)) (* -1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (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)))))))))
#s(approx (* (sqrt (pow x -3)) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -3/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) x)
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x))
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))))
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#s(approx (* (sqrt (pow x -3)) 1/2) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (pow x -3)) (pow.f64 x #s(literal -3/2 binary64)))
#s(approx (pow x -3) (pow.f64 x #s(literal -3 binary64)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 1/4 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (sqrt (pow x -5)) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (pow x -5) (pow.f64 x #s(literal -5 binary64)))
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/2 x) 1) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
#s(approx (* (sqrt x) 3/8) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)))
#s(approx (* -1/2 (sqrt x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) x))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (+ x 1))) (pow.f64 x #s(literal -1/2 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) x))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))) x))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (/.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal -1/2 binary64)))) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 3/8 binary64)))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #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))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #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))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (sqrt (/ 1 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64)))
#s(approx (/ (* (pow x -1/2) 3/8) x) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64)))
#s(approx (* (pow x -1/2) 3/8) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (sqrt (/ 1 x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (/ 1 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (* (sqrt (pow x -3)) 1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (sqrt (pow x -3)) (neg.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x)) (fma.f64 (*.f64 (pow.f64 x #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) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)) (fma.f64 (*.f64 (pow.f64 x #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) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) x)))
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #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(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64))) x)))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 (*.f64 (pow.f64 x #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))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64))))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64)))
#s(approx (/ (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (* x x)) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64))))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64)))
#s(approx (+ (* (* (sqrt x) 3/8) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64))) (*.f64 x x)))
#s(approx (* (sqrt x) 3/8) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)))
#s(approx (* -1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

eval42.0ms (1.3%)

Memory
-19.0MiB live, 73.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 20 839 to 1 955 computations (90.6% saved)

prune22.0ms (0.7%)

Memory
-14.3MiB live, 36.4MiB allocated; 4ms collecting garbage
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New3296335
Fresh3710
Picked235
Done000
Total33416350
Accuracy
99.7%
Counts
350 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
32.9%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
62.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
42.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
32.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))) (*.f64 x x)))
46.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
80.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
64.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
99.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
46.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
98.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))
3.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 1 477 to 970 computations (34.3% saved)

series31.0ms (0.9%)

Memory
2.6MiB live, 49.1MiB allocated; 2ms collecting garbage
Counts
49 → 190
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x))
(/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))
#s(literal -3/8 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x)
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (pow x -5/2) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) x)))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3))))))
#s(approx (* 3/8 (sqrt x)) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 3/8 (sqrt (pow x 3)))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* 3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (pow x -5/2) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -3/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* 3/8 (sqrt x)) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (* (pow x -5/2) -1/2) (pow x -5/2) -5/2 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) (* 3/8 (sqrt x)) (* -1/2 (sqrt x)))
7.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (* (pow x -5/2) -1/2) (pow x -5/2) -5/2 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) (* 3/8 (sqrt x)) (* -1/2 (sqrt x)))
7.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (pow x 3/2) 3/2 (* -3/8 (sqrt x)) -3/8 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (* (pow x -5/2) -1/2) (pow x -5/2) -5/2 (+ (* 1/2 x) 1) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) (* 3/8 (sqrt x)) (* -1/2 (sqrt x)))

rewrite131.0ms (3.9%)

Memory
-1.5MiB live, 140.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06388236
06956663
033846324
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
239 → 393
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x))
(/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))
#s(literal -3/8 binary64)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x)
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
#s(literal -5/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)
(/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (pow x -5/2) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (pow x -5/2) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3)))) x)))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 3/8 (sqrt (pow x 3))))))
#s(approx (* 3/8 (sqrt x)) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5)))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 3/8 (sqrt (pow x 3)))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 3/8 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) #s(hole binary64 (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* -3/8 (sqrt x)) #s(hole binary64 (* 3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) x) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (- (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (pow x -5/2) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (pow x -5/2) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -3/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* 3/8 (sqrt x)) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))
(neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 (neg.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))) (neg.f64 x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)))
#s(literal -3/2 binary64)
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#s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)))) x) #s(literal -1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) x)))
#s(approx (* (pow x -5/2) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (pow x -5/2) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64)))
#s(approx (/ (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64))))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)))
#s(approx (/ (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) x) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64)))))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64)))
#s(approx (+ (* (* 3/8 (sqrt x)) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -3/8 binary64))) (*.f64 x x)))
#s(approx (* 3/8 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -3/8 binary64)))
#s(approx (* -1/2 (sqrt x)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))

eval42.0ms (1.3%)

Memory
32.7MiB live, 78.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 25 138 to 2 356 computations (90.6% saved)

prune25.0ms (0.7%)

Memory
-1.9MiB live, 44.7MiB allocated; 2ms collecting garbage
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New3388346
Fresh358
Picked235
Done033
Total34319362
Accuracy
99.7%
Counts
362 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
32.9%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
81.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
81.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
98.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
62.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x) x)) x)))
32.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))) x) x))
62.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
98.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
62.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))) x)) x))
42.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
46.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
98.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
80.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
64.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
46.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
99.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
3.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 2 876 to 950 computations (67% saved)

regimes22.0ms (0.7%)

Memory
-8.9MiB live, 37.6MiB allocated; 2ms collecting garbage
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))) x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (/.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
Calls

2 calls:

12.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes19.0ms (0.6%)

Memory
-23.5MiB live, 25.7MiB allocated; 4ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) x) x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 #s(approx (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x)))) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) x) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) x))) x)) x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(approx (/ (+ (* (pow x 3/2) 1/2) (* -3/8 (sqrt x))) (* x x)) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
Calls

2 calls:

8.0ms
x
8.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.2%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
(-.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (- (* (* (pow x -5/2) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
80.9%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
80.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-38.8MiB live, 8.0MiB allocated; 2ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
Calls

2 calls:

2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
5.3%1x
5.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
3.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

derivations675.0ms (20.3%)

Memory
7.0MiB live, 119.6MiB allocated; 1.2s collecting garbage
Stop Event
fuel
Compiler

Compiled 357 to 102 computations (71.4% saved)

preprocess49.0ms (1.5%)

Memory
-71.5MiB live, 65.2MiB allocated; 16ms collecting garbage
Compiler

Compiled 784 to 252 computations (67.9% saved)

end0.0ms (0%)

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

Profiling

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