2sqrt (example 3.1)

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (58%)

Memory
18.0MiB live, 743.0MiB allocated; 759ms collecting garbage
Samples
931.0ms8 136×1valid
4.0ms120×0valid
Precisions
Click to see histograms. Total time spent on operations: 512.0ms
ival-sqrt: 255.0ms (49.8% of total)
adjust: 157.0ms (30.7% of total)
ival-add!: 53.0ms (10.4% of total)
ival-sub!: 47.0ms (9.2% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess107.0ms (5.2%)

Memory
-4.7MiB live, 41.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12226
22826
35626
425324
5241124
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
6 → 27
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* 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 (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
Calls

3 calls:

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

rewrite67.0ms (3.3%)

Memory
10.5MiB live, 53.2MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147650
0152550
0842518
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
33 → 42
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* 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 (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
Outputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #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 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) 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) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64)) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x)))

eval4.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 399 to 183 computations (54.1% saved)

prune5.0ms (0.2%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New32638
Fresh000
Picked011
Done000
Total32739
Accuracy
99.9%
Counts
39 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓6.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶99.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
▶98.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
▶97.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
Compiler

Compiled 208 to 190 computations (8.7% saved)

series30.0ms (1.4%)

Memory
-28.7MiB live, 24.5MiB allocated; 14ms collecting garbage
Counts
35 → 95
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(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)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#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 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 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 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) 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 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (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 (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
5.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/ 1 (sqrt x)) 1 (sqrt x) x -1/8 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (sqrt (pow x -5)) (pow x -5) -5 -5/128 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) (sqrt (/ 1 (* (* x x) x))) (/ 1 (* (* x x) x)) (* (* x x) x) (* x x) 1/16 (* 1/2 (sqrt x)) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1 (sqrt x)) 1/2) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (* (sqrt x) (sqrt x)) (+ (sqrt (+ 1 x)) (sqrt x)))

rewrite116.0ms (5.6%)

Memory
33.4MiB live, 77.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04663624
05212673
027372564
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
130 → 230
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal -1/8 binary64)
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(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)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#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 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))))) (pow x 3))))
#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 (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* 1/2 (sqrt (pow x 5)))) (pow x 2))))
#s(approx (sqrt (/ 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 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (* 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* x (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 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 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) 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 (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) #s(hole binary64 (* -1 (* x (+ (* 5/128 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (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 (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (pow (sqrt -1) 2)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) #s(hole binary64 (* x (+ 1 (+ (/ 1 x) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)
(+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x) (/.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -1/8 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 -1/8 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (-.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))))
(fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(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) (pow.f64 x #s(literal 5/2 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)))
#s(literal -5 binary64)
#s(literal -5/128 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 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 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))
(pow.f64 x #s(literal -3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
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#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (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))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 #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))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 #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)))) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (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))))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -5/128 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt 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 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64) (*.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) x)))
#s(approx (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 5/128 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) x)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (sqrt (/ 1 (* (* x x) x))) (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 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))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 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)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))) x))) x))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 #s(literal 0 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (*.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (* (sqrt x) (sqrt x)) (neg.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (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) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))) x)))

eval46.0ms (2.2%)

Memory
-21.9MiB live, 23.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 381 to 1 121 computations (66.8% saved)

prune8.0ms (0.4%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2127219
Fresh101
Picked415
Done011
Total2179226
Accuracy
100.0%
Counts
226 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
6.6%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓6.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶98.5%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶97.7%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶97.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
▶97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶98.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
Compiler

Compiled 342 to 294 computations (14% saved)

series17.0ms (0.8%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
36 → 83
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (/ (- (* -1/8 (sqrt (pow x 3))) (* -1/16 (sqrt x))) (pow x 3))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (/ (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))) (* -1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (* -1 (/ 1 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (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 x #s(hole binary64 x))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (/ 1/2 (sqrt x)) -1) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* (* -1 (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1 (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 (pow x 3))))))))
#s(approx (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) #s(hole binary64 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* -1 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x)))) x))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* -1 (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (* -1 (/ 1 (sqrt (* (* x x) x)))) -1 (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x 1/16 (/ -1/8 (sqrt x)) -1/8 (sqrt x) (* (/ 1/2 (sqrt x)) -1) (/ 1/2 (sqrt x)) 1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* -1 (sqrt x)) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))))
4.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (* -1 (/ 1 (sqrt (* (* x x) x)))) -1 (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x 1/16 (/ -1/8 (sqrt x)) -1/8 (sqrt x) (* (/ 1/2 (sqrt x)) -1) (/ 1/2 (sqrt x)) 1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* -1 (sqrt x)) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))))
4.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (* -1 (/ 1 (sqrt (* (* x x) x)))) -1 (/ 1 (sqrt (* (* x x) x))) 1 (sqrt (* (* x x) x)) (* (* x x) x) (* x x) x 1/16 (/ -1/8 (sqrt x)) -1/8 (sqrt x) (* (/ 1/2 (sqrt x)) -1) (/ 1/2 (sqrt x)) 1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* -1 (sqrt x)) -1/2 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))))

rewrite89.0ms (4.3%)

Memory
-28.0MiB live, 71.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04133602
04582679
023142550
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
119 → 200
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (/ (- (* -1/8 (sqrt (pow x 3))) (* -1/16 (sqrt x))) (pow x 3))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (/ (- (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))) (* -1/16 (sqrt x))) (pow x 3))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (* -1 (/ 1 (sqrt (* (* x x) x)))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ 1 (sqrt (* (* x x) x))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (sqrt (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 x #s(hole binary64 x))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (/ 1/2 (sqrt x)) -1) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* (* -1 (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1 (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/2 (sqrt x)) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* 1/16 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (sqrt (/ 1 (pow x 3))))))))
#s(approx (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) #s(hole binary64 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* 1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) #s(hole binary64 (- (* -1 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) #s(hole binary64 (* -1 (/ (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x)))) x))))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (sqrt (/ 1 (pow x 3))))) x))))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* 1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (sqrt (* (* x x) x)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (* (sqrt (/ 1 x)) 1/2) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* -1 (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 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 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 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 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) x) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)))
(*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))))
#s(literal -1 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
#s(literal 1 binary64)
(*.f64 x (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x (sqrt.f64 x)) (*.f64 x (sqrt.f64 x)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 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))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 1/16 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.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)))
(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 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
(/.f64 (neg.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))) (neg.f64 x))
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#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal 5/128 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/8 binary64))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))) x))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64))))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/8 binary64))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -5/128 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal -1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))))
#s(approx (- (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (* (/ 1/2 (sqrt x)) -1)) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (neg (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x)) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) x) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (- (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (/ -1/8 (sqrt x))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
#s(approx (* (* -1 (/ 1 (sqrt (* (* x x) x)))) 1/16) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)))
#s(approx (sqrt (* (* x x) x)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 x))))) x))) x))))
#s(approx (* (sqrt (/ 1 x)) 1/2) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/8 binary64))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 1/16 binary64))) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))) x)))
#s(approx (* -1 (sqrt x)) (neg.f64 (sqrt.f64 x)))

eval22.0ms (1.1%)

Memory
32.1MiB live, 32.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 356 to 1 148 computations (65.8% saved)

prune8.0ms (0.4%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1922194
Fresh022
Picked235
Done022
Total1949203
Accuracy
100.0%
Counts
203 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
▶6.6%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓6.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓98.5%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓97.7%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
▶98.9%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
▶97.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
✓97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 188 to 156 computations (17% saved)

series21.0ms (1%)

Memory
-24.8MiB live, 21.0MiB allocated; 4ms collecting garbage
Counts
32 → 112
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal -1 binary64)
(*.f64 x (sqrt.f64 x))
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(neg.f64 x)
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* (* -1 (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ -1 (* x (sqrt x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (* x (sqrt x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 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 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (+ (* x (- (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ x (+ 1 (sqrt x)))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 (pow x 5))))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) 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 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x))))
#s(approx (* x (sqrt x)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x)))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1/2 (sqrt x)) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* -1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (* (/ -1 (* x (sqrt x))) 1/16) (/ -1 (* x (sqrt x))) -1 (* x (sqrt x)) 1/16 (/ -1/8 (sqrt x)) -1/8 (neg x) (/ -1/2 (sqrt x)) -1/2 (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (+ 1 x) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x))
6.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (* (/ -1 (* x (sqrt x))) 1/16) (/ -1 (* x (sqrt x))) -1 (* x (sqrt x)) 1/16 (/ -1/8 (sqrt x)) -1/8 (neg x) (/ -1/2 (sqrt x)) -1/2 (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (+ 1 x) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x))
3.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (* (* -1 (sqrt x)) -1/2) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (* (/ -1 (* x (sqrt x))) 1/16) (/ -1 (* x (sqrt x))) -1 (* x (sqrt x)) 1/16 (/ -1/8 (sqrt x)) -1/8 (neg x) (/ -1/2 (sqrt x)) -1/2 (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (+ 1 x) 1 (+ (sqrt (+ 1 x)) (sqrt x)) (sqrt (+ 1 x)) (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (/ (- (+ 1 x) x) (+ (sqrt (+ 1 x)) (sqrt x))) (- (+ 1 x) x))

rewrite130.0ms (6.3%)

Memory
20.2MiB live, 64.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05614846
06053755
033693557
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
144 → 205
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))
#s(literal -1 binary64)
(*.f64 x (sqrt.f64 x))
#s(literal 1/16 binary64)
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(neg.f64 x)
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 4))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 4))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -5/128 (sqrt (/ 1 (pow x 5))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* 1/16 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (/ (+ (* -5/128 (sqrt x)) (* x (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))))) (pow x 3))))
#s(approx (* (* -1 (sqrt x)) -1/2) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (* 1/16 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (pow x 3))) (* 1/16 (sqrt x))) (pow x 3))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/16 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* -1/16 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (/ (+ (* -1/16 (sqrt x)) (* 1/8 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (/ -1 (* x (sqrt x))) #s(hole binary64 (* -1 (sqrt (/ 1 (pow x 3))))))
#s(approx (* x (sqrt x)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (/ -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 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 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (+ (* x (- (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* x (- (+ (* x (- (+ (* -1 (* x (+ (* -1/8 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x))))) (+ 1 (sqrt x)))))))) (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (* 1/2 (/ (- (/ 1 (+ 1 (sqrt x))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2)))) (+ 1 (sqrt x)))))) (/ 1 (+ 1 (sqrt x)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ x (+ 1 (sqrt x)))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* x (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -5/128 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x)))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (* -1/8 (sqrt (/ 1 (pow x 3)))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 (pow x 5))))) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/16 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) #s(hole binary64 (- (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* 2 (sqrt x))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* x (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x)))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/128 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/16 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/8 (sqrt (/ 1 x)))) 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 (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ (+ 1 (pow (sqrt -1) 2)) (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (* (sqrt x) (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) #s(hole binary64 (- (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) #s(hole binary64 (* -1 (/ (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x)))) x))))
#s(approx (* x (sqrt x)) #s(hole binary64 (* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* -1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x)))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/8 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1/2 (sqrt x)) (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))) (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* -1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* -1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4))))))))
Outputs
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(/.f64 (neg.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x))
(/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 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 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 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 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/16 binary64))
(*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) x)))
#s(literal -1 binary64)
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
#s(literal 1/16 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.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)
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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)))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) x)) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (*.f64 (+.f64 #s(literal 1 binary64) x) x))))
(fma.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (+.f64 #s(literal 1 binary64) x) x)
(+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 x x))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -5/128 binary64)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -5/128 binary64)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -5/128 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (fma.f64 x (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x) (/.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)))))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #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 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #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))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64)))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (- (/ (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (neg x)) (/ -1/2 (sqrt x))) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal -1/16 binary64)))
#s(approx (- (* (/ -1 (* x (sqrt x))) 1/16) (/ -1/8 (sqrt x))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) x)) #s(literal 1/8 binary64))) (*.f64 x x)))
#s(approx (/ -1 (* x (sqrt x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))))
#s(approx (* x (sqrt x)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (/ -1/8 (sqrt x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ -1/2 (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 x (fma.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 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.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)))))
#s(approx (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #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 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.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) #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)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (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 (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 x (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (fma.f64 x (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x) (/.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))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #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 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #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))))) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) x))
#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
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#s(approx (- (/ (+ 1 x) (+ (sqrt (+ 1 x)) (sqrt x))) (/ x (+ (sqrt (+ 1 x)) (sqrt x)))) (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
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#s(approx (+ (sqrt (+ 1 x)) (sqrt x)) (*.f64 (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ 1 x)) (*.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 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ 1 x)) (*.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 x)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal -1/16 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
#s(approx (/ x (+ (sqrt (+ 1 x)) (sqrt x))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal -5/128 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (*.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))

eval26.0ms (1.3%)

Memory
-0.5MiB live, 43.6MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 499 to 1 110 computations (75.3% saved)

prune17.0ms (0.8%)

Memory
-30.6MiB live, 20.6MiB allocated; 9ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2191220
Fresh000
Picked134
Done055
Total2209229
Accuracy
100.0%
Counts
229 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓8.0%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
✓6.6%
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
✓6.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓98.5%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
✓97.7%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
98.9%
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
✓97.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
✓97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Compiler

Compiled 480 to 286 computations (40.4% saved)

regimes9.0ms (0.5%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))
Calls

2 calls:

5.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.1%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.4%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 x x) x)))) #s(literal 1/16 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) #s(approx (/ (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.3%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.5%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.5%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.3%)

Memory
-40.7MiB live, 6.2MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) #s(approx (* (* -1 (sqrt x)) -1/2) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) -1/8) (+ (* (sqrt (pow x -5)) -5/128) (+ (* (sqrt (/ 1 (* (* x x) x))) 1/16) (* 1/2 (sqrt x))))) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) x))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.9%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.9%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Outputs
#s(approx (/ (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ 1 x)) (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.7%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.7%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%1x
Compiler

Compiled 7 to 7 computations (0% saved)

derivations48.0ms (2.4%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 128 to 76 computations (40.6% saved)

preprocess62.0ms (3%)

Memory
-25.4MiB live, 66.3MiB allocated; 7ms collecting garbage
Compiler

Compiled 147 to 94 computations (36.1% saved)

end0.0ms (0%)

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

Profiling

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