2isqrt (example 3.6)

Time bar (total: 3.1s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.6s (53%)

Memory
37.9MiB live, 2 032.9MiB allocated; 543ms collecting garbage
Samples
927.0ms6 160×1valid
385.0ms1 972×2valid
5.0ms124×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sqrt: 402.0ms (38.5% of total)
adjust: 300.0ms (28.7% of total)
ival-div!: 265.0ms (25.4% of total)
ival-add!: 40.0ms (3.8% of total)
ival-sub!: 37.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess68.0ms (2.2%)

Memory
-33.1MiB live, 55.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01638
12038
22338
34538
413438
5108435
6571735
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 20 to 16 computations (20% saved)

series7.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB 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
3.0ms
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))

rewrite72.0ms (2.3%)

Memory
13.8MiB live, 111.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131066
0222934
01281890
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (*.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #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 (/.f64 #s(literal 1 binary64) x))
#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) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (+.f64 (neg.f64 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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #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 -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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #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)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (+.f64 (neg.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))

eval62.0ms (2%)

Memory
-30.3MiB live, 15.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 697 to 306 computations (56.1% saved)

prune7.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New501060
Fresh000
Picked011
Done000
Total501161
Accuracy
81.7%
Counts
61 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.6%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))
36.7%
(/.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)))))
▶5.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))))
✓36.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
33.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
28.4%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
80.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x)))
▶80.5%
#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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
▶79.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
▶5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
▶61.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
Compiler

Compiled 366 to 320 computations (12.6% saved)

series49.0ms (1.6%)

Memory
7.5MiB live, 53.7MiB allocated; 5ms collecting garbage
Counts
40 → 163
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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))
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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt 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 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
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#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
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#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
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#s(approx (sqrt (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (/ 1 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
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#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
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#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (+ 1 (* x (- x 1)))))
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#s(approx (- 1 (* x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* x 1) #s(hole binary64 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #s(hole binary64 (* 1/2 (sqrt x))))
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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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #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 (/ 1 (* (* x x) x)))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #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 (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (sqrt x)))
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#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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)))))
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#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))))
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#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #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 (/ 1 (* (* x x) x)))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #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 (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* 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)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
33.0ms
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))) (- 1 (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))) (- 1 (* x 1)) (* x 1))
6.0ms
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* (* (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (+ (* 1/4 x) 1) 1/4 (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) (* 1/2 (/ 1 (sqrt x))) (/ 1 (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ 1 (* (* x x) x))) 1/2) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))) (- 1 (* x 1)) (* x 1))

rewrite170.0ms (5.5%)

Memory
-11.0MiB live, 181.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05956112
06594405
033334301
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
203 → 339
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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 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))
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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt 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 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #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 (/ 1 (* (* x x) x)))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #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 (/ 1 (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ 1 (* (* x x) x)) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* 1/2 (/ 1 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 1))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 1))
#s(approx (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 (+ 1 (pow x 3))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 1))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (- 1 (* x 1)) #s(hole binary64 1))
#s(approx (- 1 (* x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* x 1) #s(hole binary64 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #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 (/ 1 (* (* x x) x)))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #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 (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* x (- (/ 1 x) 1))))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) #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 (/ 1 (* (* x x) x)))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) #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 (/ 1 (* (* x x) x))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (/ 1 (* (* x x) x))) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* 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)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* x x) (- 1 (* 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 (+ (* x x) (- 1 (* x 1))) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (- 1 (* x 1)) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 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) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) x)
(/.f64 (neg.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (neg.f64 (*.f64 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) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 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))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 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))) (*.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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (pow.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(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.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))) (*.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 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 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) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 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 (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) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(pow.f64 x #s(literal 1/2 binary64))
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#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
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#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
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#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) #s(literal 1 binary64))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
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#s(approx (+ (* x x) (- 1 (* x 1))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 (* x 1)) #s(literal 1 binary64))
#s(approx (- 1 (* x 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (* x 1) x)
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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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (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 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x))
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#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)))
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#s(approx (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/4 binary64)))
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#s(approx (+ (* 1/4 x) 1) (*.f64 #s(literal 1/4 binary64) x))
#s(approx (+ (* 1/4 x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) x))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
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#s(approx (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))) x)
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#s(approx (+ (* (* x x) x) 1) (*.f64 (*.f64 x x) x))
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#s(approx (- 1 (* x 1)) (neg.f64 x))
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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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (neg.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x)))
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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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
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#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #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 -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
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#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
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#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
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#s(approx (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
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#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (+ (* x x) (- 1 (* x 1))) (*.f64 (*.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (- 1 (* x 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval65.0ms (2.1%)

Memory
-15.3MiB live, 87.8MiB allocated; 36ms collecting garbage
Compiler

Compiled 5 377 to 1 939 computations (63.9% saved)

prune16.0ms (0.5%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New34212354
Fresh325
Picked325
Done011
Total34817365
Accuracy
99.7%
Counts
365 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.6%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))
36.7%
(/.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)))))
✓36.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
80.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
61.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
79.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
▶97.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
76.3%
#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 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
80.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 #s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/4 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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
25.2%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (*.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))) (*.f64 (*.f64 x x) x))) (*.f64 x x)))
79.3%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
✓5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
▶62.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
✓61.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
▶98.2%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
Compiler

Compiled 870 to 774 computations (11% saved)

series20.0ms (0.7%)

Memory
19.8MiB live, 19.8MiB allocated; 0ms collecting garbage
Counts
37 → 152
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.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))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (/ 1 (sqrt x)) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (/ 1 (sqrt x)) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 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 (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (/ (/ 1 (* x x)) x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (/ 1 (* x x)) x) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#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 (sqrt (/ 1 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ x (sqrt x)) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) 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))))
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#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
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#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
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#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- 1 (/ 1 x)) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) 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 (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 (* 2 (sqrt (/ 1 x)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -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)))) (* 2 (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ 1 (* x x)) x)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
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#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
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#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))))))
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#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
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#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
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Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
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4.0ms
x
@0
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4.0ms
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ (* (/ 1 (sqrt x)) 3/8) x) (* (/ 1 (sqrt x)) 3/8) (/ 1 (sqrt x)) 1 (sqrt x) x 3/8 (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt (/ 1 x)) (/ 1 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) (sqrt (/ (/ 1 (* x x)) x)) (/ (/ 1 (* x x)) x) (/ 1 (* x x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (- (/ 1 (sqrt x)) (sqrt x)) -1/2 (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))))

rewrite152.0ms (4.9%)

Memory
-22.8MiB live, 119.9MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06535728
07084348
040214188
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
189 → 309
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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
(/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x)
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.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))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (/ 1 (sqrt x)) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (/ 1 (sqrt x)) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 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 (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (/ (/ 1 (* x x)) x)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (/ 1 (* x x)) x) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#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 (sqrt (/ 1 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ x (sqrt x)) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (* -1/8 (sqrt (/ 1 x)))) (pow x 2))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/4 (sqrt (/ 1 (pow x 3)))))) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- 1 (/ 1 x)) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 2))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 2))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ 1 x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) 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 (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 (* 2 (sqrt (/ 1 x)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -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)))) (* 2 (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (sqrt (/ 1 (pow x 3))))) x))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (/ 1 (* x x)) x)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (- (+ (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (+ (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* -1/2 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))) x)) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* -1/2 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x)) (+ (/ 1 (* (pow (sqrt -1) 2) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 1 (pow (sqrt -1) 2))) (/ 1 x)) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#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 (+ (/ 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 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (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 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)))))))
Outputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (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 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (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 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (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 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)))
(fma.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) x)
(/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))
(neg.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x)
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #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 (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 3/8 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #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 (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
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#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64)))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #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) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (-.f64 (+.f64 (neg.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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64)) x)) (neg.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/4 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)) (neg.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x)))
#s(approx (/ (+ (neg (/ (* (/ 1 (sqrt x)) 3/8) x)) (/ 1/2 (sqrt x))) x) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ 1 (sqrt x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (sqrt (/ (/ 1 (* x x)) x)) 1/2) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64)))
#s(approx (sqrt (/ (/ 1 (* x x)) x)) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64)))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1/2 binary64))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 x))))) x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (sqrt.f64 x)) #s(literal -1/2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 #s(literal 0 binary64) x))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (neg.f64 (/.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))

eval38.0ms (1.2%)

Memory
13.4MiB live, 59.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 467 to 1 599 computations (70.8% saved)

prune31.0ms (1%)

Memory
-11.3MiB live, 36.0MiB allocated; 2ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New27117288
Fresh549
Picked325
Done033
Total27926305
Accuracy
99.8%
Counts
305 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
36.7%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
36.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
▶36.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.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))))))
3.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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)))))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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)))))))))
36.7%
(/.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)))))
19.5%
(/.f64 (-.f64 #s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))
36.6%
(/.f64 (*.f64 (+.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 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))))))
▶80.3%
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
80.7%
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓36.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
61.7%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
▶98.2%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
▶79.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
▶97.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
79.3%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
✓5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
79.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
✓62.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
✓61.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
✓5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
98.2%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))))
Compiler

Compiled 1 356 to 972 computations (28.3% saved)

series40.0ms (1.3%)

Memory
-10.6MiB live, 36.3MiB allocated; 2ms collecting garbage
Counts
40 → 220
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))
#s(literal 3/8 binary64)
(sqrt.f64 x)
x
(neg.f64 x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))
#s(literal -1/2 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(*.f64 x x)
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(+.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 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.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)))))
(fma.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) #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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* x (- (+ (* -1 (sqrt (/ 1 x))) (* x (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (/ 1 x)) (* x (- (* -1 (sqrt (/ 1 x))) (+ (* -1/2 (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))) (+ (* 3/8 (/ 1 x)) (* (sqrt (/ 1 x)) (- (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 x))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x))))))))))) (* (sqrt (/ 1 x)) (- (* -1 (sqrt (/ 1 x))) (/ 1 x)))))) (/ 1 x))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ (/ 3/8 (sqrt x)) (neg x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 3/8 (sqrt x)) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 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 (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* 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) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ 1 x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- x 1))) x)))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) x)))
#s(approx (/ (- 1 (/ 1 x)) (* x x)) #s(hole binary64 (/ -1 (pow x 3))))
#s(approx (/ (- 1 (/ 1 x)) (* x x)) #s(hole binary64 (/ (- x 1) (pow x 3))))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- 1 (/ 1 x)) #s(hole binary64 (/ (- x 1) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 (/ (+ x (sqrt x)) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* -1/2 x)))) x)))
#s(approx (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (+ 1 (* x (- (* 3/8 x) 1/2))))) 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)))))
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#s(approx (+ x 1) #s(hole binary64 x))
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#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
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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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* 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))))
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#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#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 (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 x) x) 1) (+ (* 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)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* 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 (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) #s(hole binary64 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 1 (pow (sqrt -1) 2))) (/ 1 x)) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (- 1 (/ 1 x)) x)) (/ 1 (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) (/ 1 (pow (sqrt -1) 2)))) 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 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (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 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)))))))
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#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))))))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (+ (* 1/4 (sqrt x)) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))))))) x)) (+ (* 1/4 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))) x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/32 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (sqrt -1))) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1))))))))) x)) (+ (* -1/16 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (+ (* 1/4 (sqrt x)) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))))))) x)) (+ (* 1/4 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))) x))))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x)))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (* (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Calls

3 calls:

TimeVariablePointExpression
23.0ms
x
@-inf
((/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (- 1 (/ 1 x)) (* x x)) (- 1 (/ 1 x)) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))))
6.0ms
x
@0
((/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (- 1 (/ 1 x)) (* x x)) (- 1 (/ 1 x)) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))))
5.0ms
x
@inf
((/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) (/ (/ 3/8 (sqrt x)) (neg x)) (/ 3/8 (sqrt x)) 3/8 (sqrt x) x (neg x) (/ 1/2 (sqrt x)) 1/2 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) x) (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (* x x) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (- 1 (/ 1 x)) (* x x)) (- 1 (/ 1 x)) (/ 1 x) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))))

rewrite228.0ms (7.3%)

Memory
52.0MiB live, 232.8MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010159340
010846777
166636197
088465919
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
260 → 428
Calls
Call 1
Inputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))) x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (+ (* 1/4 (sqrt x)) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1)))))))) x)) (+ (* 1/4 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))) x))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/32 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))) (sqrt -1))) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ 1 (sqrt -1))))))))) x)) (+ (* -1/16 (* (sqrt x) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (+ (* 1/4 (sqrt x)) (* (sqrt -1) (- (* 1/2 (* (sqrt x) (sqrt -1))) (* 1/8 (* (sqrt (pow x 3)) (/ (+ 1 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))))))))) x)) (+ (* 1/4 (* (sqrt x) (+ 1 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) (* 1/2 (* (sqrt x) (* (pow (sqrt -1) 2) (+ 1 (/ 1 (pow (sqrt -1) 2))))))) x))))
#s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) #s(hole binary64 (/ -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (sqrt x))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x)))) x))) x)) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (* (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
Outputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x)
(+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))))
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(/.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(neg.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) x))
(/.f64 #s(literal -3/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 3/8 binary64) (sqrt.f64 x))
#s(literal 3/8 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x)
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 x x)))
#s(literal -1/2 binary64)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x) x)
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 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 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
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(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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(pow.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (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))
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#s(approx (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/2 binary64)))
#s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 (-.f64 (sqrt.f64 x) x) x))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (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 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (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 (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (pow.f64 x #s(literal -5/2 binary64)))
#s(approx (/ (- (/ 1 (sqrt x)) (sqrt x)) (* x x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (sqrt.f64 x)) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (- 1 (/ 1 x)) (* x x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (/ (- 1 (/ 1 x)) (* x x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (+.f64 (sqrt.f64 x) x) x))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (sqrt.f64 x)) x))
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#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)))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x))
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#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))))) x (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 x)))) x (*.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) #s(literal 1 binary64))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))) x))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (/.f64 (fma.f64 x (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))) x))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (* (sqrt x) 1) (sqrt.f64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) x))
#s(approx (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) x) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (/ (/ 3/8 (sqrt x)) (neg x)) (/ 1/2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
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#s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
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#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
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#s(approx (+ x 1) x)
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#s(approx (* (sqrt x) (sqrt (+ x 1))) x)
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#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1)))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))))
#s(approx (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3/4 binary64) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/4 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 5/8 binary64))) x)))) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -2 binary64)))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (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 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (* 1 (sqrt (+ x 1))) (* (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 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))))
#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (neg.f64 (neg.f64 x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (neg.f64 x))) x)) #s(literal -1 binary64))))

eval106.0ms (3.4%)

Memory
-28.8MiB live, 116.7MiB allocated; 54ms collecting garbage
Compiler

Compiled 8 074 to 2 274 computations (71.8% saved)

prune38.0ms (1.2%)

Memory
-5.1MiB live, 88.9MiB allocated; 14ms collecting garbage
Pruning

32 alts after pruning (26 fresh and 6 done)

PrunedKeptTotal
New42914443
Fresh41216
Picked415
Done055
Total43732469
Accuracy
99.8%
Counts
469 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
36.7%
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.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))))))
36.7%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
23.0%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
3.8%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
5.8%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
3.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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)))))))
9.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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)))))))))
36.7%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
36.7%
(/.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)))))
36.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
19.5%
(/.f64 (-.f64 #s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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))))))
36.6%
(/.f64 (*.f64 (+.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 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))))))
80.7%
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
62.6%
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(approx (/ (- 1 (/ 1 x)) (* x x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
✓36.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.9%
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
79.5%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
61.7%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
98.2%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x)))
96.2%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) x)))
98.2%
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
✓97.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
79.3%
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
✓5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
79.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
97.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
✓62.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
✓61.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
✓5.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 1 946 to 992 computations (49% saved)

regimes47.0ms (1.5%)

Memory
9.2MiB live, 92.0MiB allocated; 27ms collecting garbage
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.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) (sqrt.f64 #s(approx (+ x 1) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(-.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)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3/8 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))))
(/.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))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x))) x)))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) #s(approx (/ (- 1 (/ 1 x)) (* x x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (+.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 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))))))
(/.f64 #s(approx (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 #s(approx (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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 (+.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 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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (/.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64)) (*.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))) (*.f64 (*.f64 x x) 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/4 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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (fma.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 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 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (/.f64 (fma.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 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 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) x)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (*.f64 x x) x))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 x #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))))))
Outputs
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (* x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))) x)))
Calls

2 calls:

23.0ms
x
21.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.2%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes15.0ms (0.5%)

Memory
-7.8MiB live, 39.4MiB allocated; 4ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.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) (sqrt.f64 #s(approx (+ x 1) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(-.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)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) #s(literal -1/2 binary64)) x) x))
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
97.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.3%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes10.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated; 0ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.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) (sqrt.f64 #s(approx (+ x 1) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(-.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)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) x))
Calls

2 calls:

5.0ms
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
97.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.2%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes31.0ms (1%)

Memory
-22.6MiB live, 30.8MiB allocated; 24ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.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) (sqrt.f64 #s(approx (+ x 1) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(-.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)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
Calls

2 calls:

25.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.0ms
x
Results
AccuracySegmentsBranch
97.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.2%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes9.0ms (0.3%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.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) (sqrt.f64 #s(approx (+ x 1) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (+ (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) #s(literal 1/2 binary64)))
(-.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)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* (/ 1 (sqrt x)) (/ 1 (sqrt x))) (* (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))))) (/ (+ (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (+ (* (* x x) x) 1) (+ (* x x) (- 1 (* x 1))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (/.f64 #s(approx (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) x))
Calls

2 calls:

5.0ms
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
97.2%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.2%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes5.0ms (0.2%)

Memory
-36.9MiB live, 12.1MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#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 (/ 1 (* (* x x) x)))) -1/2) (* 1/2 (/ 1 (sqrt x)))))) (*.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 (/ (* (- (/ 1 (sqrt x)) (sqrt x)) -1/2) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Calls

2 calls:

3.0ms
(-.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
97.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.1%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (sqrt.f64 (/.f64 #s(literal 1 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
5.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.7%1x
Compiler

Compiled 11 to 9 computations (18.2% saved)

derivations104.0ms (3.4%)

Memory
34.1MiB live, 127.0MiB allocated; 4ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 130 to 81 computations (37.7% saved)

preprocess59.0ms (1.9%)

Memory
-9.3MiB live, 130.4MiB allocated; 12ms collecting garbage
Compiler

Compiled 160 to 105 computations (34.4% saved)

end0.0ms (0%)

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

Profiling

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