Given's Rotation SVD example, simplified

Time bar (total: 4.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 19 to 11 computations (42.1% saved)

sample1.7s (42.3%)

Memory
22.1MiB live, 2 488.7MiB allocated; 393ms collecting garbage
Samples
976.0ms2 907×2valid
262.0ms4 157×0valid
179.0ms1 192×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-hypot: 514.0ms (43% of total)
ival-sqrt: 151.0ms (12.6% of total)
ival-mult!: 147.0ms (12.3% of total)
adjust: 146.0ms (12.2% of total)
ival-div!: 136.0ms (11.4% of total)
ival-sub!: 63.0ms (5.3% of total)
ival-add!: 38.0ms (3.2% of total)
Bogosity

preprocess89.0ms (2.2%)

Memory
-17.1MiB live, 34.9MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02245
16939
214739
333239
4135239
5693339
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series7.0ms (0.2%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
9 → 69
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Calls

3 calls:

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

rewrite186.0ms (4.6%)

Memory
19.9MiB live, 253.2MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161700
03261369
121231336
081531284
Stop Event
iter-limit
node-limit
iter-limit
Counts
78 → 150
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* -1/2 (pow x 2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 1))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (- 1 (/ 1 x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (/ -1 x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
Outputs
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(neg.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (/.f64 (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (fabs.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(pow.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -2 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (*.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(sqrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
x
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 11/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 #s(literal 3/16 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/32 binary64) (*.f64 x x) #s(literal 3/16 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) #s(literal 1 binary64))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) #s(literal 3/16 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/16 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) x)
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 1/8 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/8 binary64)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/8 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) #s(literal 1 binary64)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (neg.f64 x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))

eval18.0ms (0.4%)

Memory
3.6MiB live, 49.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 115 to 818 computations (61.3% saved)

prune13.0ms (0.3%)

Memory
-15.2MiB live, 31.3MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New13412146
Fresh000
Picked101
Done000
Total13512147
Accuracy
78.0%
Counts
147 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
77.7%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
77.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
77.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
49.2%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
48.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
29.9%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
46.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
48.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
48.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
31.9%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
30.6%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 434 to 374 computations (13.8% saved)

series36.0ms (0.9%)

Memory
20.6MiB live, 79.8MiB allocated; 9ms collecting garbage
Counts
30 → 194
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1/2 binary64)
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/4 binary64)
(*.f64 x x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
Outputs
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/8 (/ (* (pow (sqrt 1/2) 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (- (* 35/128 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* 1/2 (/ (* (sqrt 1/2) (* (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (* 1/2 (/ (* (sqrt 1/2) (- 35/128 (+ (* 1/4 (/ (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))) (* 1/4 (/ (pow (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) 2) (pow (sqrt 2) 2)))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))) (+ (* -1/2 (+ (* -1 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* -1/2 (/ (* (sqrt 1/2) (* (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (+ (* -1/4 (/ (* (sqrt 1/2) (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (* 5/16 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))))) (+ (* -1/2 (/ (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (+ (* 1/8 (/ (* (pow (sqrt 1/2) 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2))))))))))) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (+ (* 1/2 (- (* 3/8 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))) (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* (sqrt 2) (+ 1 (* (sqrt 1/2) (sqrt 2)))))) (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))) (+ (* -1/2 (+ (* -1/2 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (* 1/2 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))) (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
#s(approx (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) #s(hole binary64 (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/16 (/ (pow (sqrt 1/2) 2) (* (pow (sqrt 2) 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 3)))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2))))))) (* -1/4 (/ (sqrt 1/2) (* (sqrt 2) (pow (+ 1 (* (sqrt 1/2) (sqrt 2))) 2)))))) (/ 1 (+ 1 (* (sqrt 1/2) (sqrt 2)))))))
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#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
19.0ms
x
@0
((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))
6.0ms
x
@inf
((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))
4.0ms
x
@-inf
((- (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))))) (/ 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) 1 (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2))) (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)) (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ (/ 1 (sqrt (+ (* x x) 1))) 1) (/ 1 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1/2 (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) 0 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* -1/4 (* x x)) 1) -1/4 (* x x) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))

rewrite215.0ms (5.4%)

Memory
5.3MiB live, 285.4MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089010603
09265856
071245501
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
224 → 319
Calls
Call 1
Inputs
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x
#s(literal 1/2 binary64)
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#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ -1/2 x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(cos.f64 (atan.f64 x))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
x
#s(literal 1/2 binary64)
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))))
(neg.f64 (-.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(pow.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
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#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64))) x))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2) (+ 1 (sqrt (* (+ (/ 1 (sqrt (+ (* x x) 1))) 1) 1/2)))) (+.f64 (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1/8 binary64))) #s(literal -1/2 binary64))) x))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x)))

eval55.0ms (1.4%)

Memory
-11.3MiB live, 135.0MiB allocated; 9ms collecting garbage
Compiler

Compiled 8 524 to 2 142 computations (74.9% saved)

prune17.0ms (0.4%)

Memory
7.5MiB live, 50.7MiB allocated; 5ms collecting garbage
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New47411485
Fresh707
Picked325
Done000
Total48413497
Accuracy
100.0%
Counts
497 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
77.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
48.6%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
77.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
48.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
46.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
48.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
31.9%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.7%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
54.0%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
52.5%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
53.7%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
30.6%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 451 to 397 computations (12% saved)

series77.0ms (1.9%)

Memory
3.1MiB live, 95.9MiB allocated; 32ms collecting garbage
Counts
32 → 203
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))
#s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64))
#s(literal 69/1024 binary64)
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 x) 1/2) x)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1/2))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (- (+ (* -1/2 (/ (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/2 (/ (- (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 3))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt 1/2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (/ 1 (+ 1 (sqrt 1/2))) (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2)))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1/2))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* -11/128 (pow x 4))))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (* -11/128 (pow x 2))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* 69/1024 (pow x 2))))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (* (pow x 2) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* -1/2 (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3))))))) (* 1/2 (- (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* 1/4 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/128 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) x)) (* 1/4 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (/ 1 (+ 1 (sqrt 1/2))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/4 (* x (+ 1 (sqrt 1/2)))))))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
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#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
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#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ -1/2 x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
Calls

3 calls:

TimeVariablePointExpression
52.0ms
x
@-inf
((- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024)
11.0ms
x
@0
((- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024)
9.0ms
x
@inf
((- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (- 1/2 (/ 1/2 x)) (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 x) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* -11/128 (* x x)) 1/8) (* x x)) (+ (* -11/128 (* x x)) 1/8) -11/128 (* x x) 1/8 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (+ (* 69/1024 (* x x)) -11/128) 69/1024)

rewrite251.0ms (6.3%)

Memory
11.3MiB live, 376.9MiB allocated; 101ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08047505
08425847
152965805
083065479
Stop Event
iter-limit
node-limit
iter-limit
Counts
235 → 386
Calls
Call 1
Inputs
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(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))
#s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x))))
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#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(literal -11/128 binary64)
(*.f64 x x)
#s(literal 1/8 binary64)
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(*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
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#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
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#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
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#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
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#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
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#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
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#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (* (sqrt 1/2) (sqrt 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
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#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 (/ (- (* 1/2 x) 1/2) x)))
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#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 1))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
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#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
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#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
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#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1/2))
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#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
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#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* 69/1024 (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
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#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
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#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
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#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 1/2))
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#s(approx (- 1/2 (/ 1/2 x)) #s(hole binary64 1/2))
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#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (sqrt 1/2)))
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#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1/2))
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#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ 1/2 x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* -11/128 (pow x 4))))
#s(approx (* (+ (* -11/128 (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (* -11/128 (pow x 2))))
#s(approx (+ (* -11/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 69/1024 (pow x 6))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- 69/1024 (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 6) (- (+ 69/1024 (/ 1/8 (pow x 4))) (* 11/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 69/1024 (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* 69/1024 (pow x 4))))
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#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
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#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/4 (* x (+ 1 (sqrt 1/2)))))))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) #s(hole binary64 (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))))
#s(approx (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (/ -1/2 x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
Outputs
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))
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(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
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#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) x)))
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) x)) #s(literal -1/32 binary64) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal -3/64 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64)))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3/16 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ 1/2 (* (/ 1 (sqrt (+ (* x x) 1))) 1/2)))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) x))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) x)))
#s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) x)))

eval61.0ms (1.5%)

Memory
-13.3MiB live, 124.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 8 240 to 2 326 computations (71.8% saved)

prune18.0ms (0.4%)

Memory
-15.0MiB live, 40.9MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5615566
Fresh336
Picked235
Done022
Total56613579
Accuracy
100.0%
Counts
579 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.7%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
46.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))))
48.6%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
77.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
48.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
46.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
48.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
31.9%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.7%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
54.0%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
53.7%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
52.5%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
30.6%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 479 to 370 computations (22.8% saved)

series14.0ms (0.4%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Counts
30 → 156
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64))
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64))
#s(literal -1843/32768 binary64)
#s(literal 69/1024 binary64)
#s(literal -11/128 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
Outputs
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 69/1024))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 (+ 69/1024 (* -1843/32768 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1/2))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (- (+ (* 1/2 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (- (+ (* -1/2 (/ (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (pow x 2))) (+ (* 1/8 (/ 1 (* (pow x 2) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/2 (/ (- (+ (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (pow x 3))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (sqrt 1/2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* -1843/32768 (pow x 8))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 8) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* -1843/32768 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 6) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 6) (- (+ (* 69/1024 (/ 1 (pow x 2))) (* 1/8 (/ 1 (pow x 6)))) (+ 1843/32768 (/ 11/128 (pow x 4)))))))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (* -1843/32768 (pow x 4))))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (* (pow x 4) (- (* 69/1024 (/ 1 (pow x 2))) (+ 1843/32768 (/ 11/128 (pow x 4)))))))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 (* -1843/32768 (pow x 2))))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 (* (pow x 2) (- (* 69/1024 (/ 1 (pow x 2))) 1843/32768))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1 (+ 1 (sqrt 1/2)))))
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#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* -1 (/ (+ (* 1/128 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 1/4 (/ (+ (* 1/16 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) (pow x 3))) (+ (* 1/16 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 1/32 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1 (+ 1 (sqrt 1/2)))))) (/ 1/4 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))))
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#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
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#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))
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Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
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3.0ms
x
@-inf
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2.0ms
x
@0
((/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (* (* x x) 1/8) (* x x) 1/8 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (+ (* -1843/32768 (* x x)) 69/1024) -1843/32768 69/1024 -11/128 (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)))

rewrite188.0ms (4.7%)

Memory
-6.0MiB live, 228.3MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07186990
07605659
148035600
082745453
Stop Event
iter-limit
node-limit
iter-limit
Counts
186 → 310
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 x x)
#s(literal 1/8 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64))
(fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64))
#s(literal -1843/32768 binary64)
#s(literal 69/1024 binary64)
#s(literal -11/128 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x))
#s(approx (sqrt (+ (* x x) 1)) x)
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* 1/4 (pow x 2))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* -1/4 (pow x 2)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 1/2))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* -1/4 (pow x 2)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2)))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 2))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* -1/8 (pow x 2)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* -1/8 (pow x 2)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (* (* x x) 1/8) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))))
#s(approx (* (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* -11/128 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))))
#s(approx (+ (* (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 -11/128))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (- (* 69/1024 (pow x 2)) 11/128)))
#s(approx (+ (* (+ (* -1843/32768 (* x x)) 69/1024) (* x x)) -11/128) #s(hole binary64 (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 69/1024))
#s(approx (+ (* -1843/32768 (* x x)) 69/1024) #s(hole binary64 (+ 69/1024 (* -1843/32768 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* 1/32 (pow x 2)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* -5/256 (pow x 2)))))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (+ 1/32 (* (pow x 2) (- (* 117/8192 (pow x 2)) 5/256)))))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 1/2))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* -3/32 (pow x 2)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32)))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (/ 1/2 (+ 1 (sqrt 1/2)))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))
#s(approx (/ (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 1/2))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 x)))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))))
#s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(hole binary64 (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 1/2))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ 1 x)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(hole binary64 (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(hole binary64 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (sqrt 1/2))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(hole binary64 (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))))
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#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) #s(hole binary64 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/4 (* x (+ 1 (sqrt 1/2)))))))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))
Outputs
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 x)))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
(cosh.f64 (asinh.f64 x))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
x
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
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(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal 1/8 binary64)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 1/8 binary64)
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(neg.f64 (-.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/128 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x))) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (/.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) x)) (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))))) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (+.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64) #s(literal 1/4 binary64)) x)) #s(literal -1/32 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) (/.f64 #s(literal -3/64 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))

eval90.0ms (2.2%)

Memory
2.7MiB live, 146.0MiB allocated; 45ms collecting garbage
Compiler

Compiled 10 666 to 2 387 computations (77.6% saved)

prune25.0ms (0.6%)

Memory
8.3MiB live, 57.0MiB allocated; 2ms collecting garbage
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New6946700
Fresh123
Picked325
Done055
Total69815713
Accuracy
100.0%
Counts
713 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.5%
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
49.1%
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
46.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))))
48.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
77.0%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
48.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
46.1%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
48.4%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
31.9%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
52.7%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
54.0%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
52.7%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
53.7%
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
52.5%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
30.6%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
Compiler

Compiled 837 to 468 computations (44.1% saved)

regimes55.0ms (1.4%)

Memory
9.6MiB live, 102.8MiB allocated; 3ms collecting garbage
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* x x) 1)) x)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Calls

7 calls:

9.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
8.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
7.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
7.0ms
(hypot.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes45.0ms (1.1%)

Memory
-7.3MiB live, 90.8MiB allocated; 4ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

7 calls:

9.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes42.0ms (1%)

Memory
-5.2MiB live, 89.1MiB allocated; 3ms collecting garbage
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

7.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
6.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
99.3%2(hypot.f64 #s(literal 1 binary64) x)
99.3%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.3%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.3%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.3%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.3%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.3%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes41.0ms (1%)

Memory
10.4MiB live, 59.7MiB allocated; 2ms collecting garbage
Counts
25 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1843/32768 binary64) (*.f64 x x) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) (*.f64 x x) #s(literal -11/128 binary64)) x) x #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

7.0ms
x
6.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
6.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
99.3%2(hypot.f64 #s(literal 1 binary64) x)
99.3%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.3%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.3%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.3%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.3%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.3%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes49.0ms (1.2%)

Memory
5.9MiB live, 52.8MiB allocated; 1ms collecting garbage
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 (fma.f64 #s(literal 69/1024 binary64) (*.f64 x x) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))))))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

18.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
6.0ms
x
6.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
4.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
99.3%2(hypot.f64 #s(literal 1 binary64) x)
99.3%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.3%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.3%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.3%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.3%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.3%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes37.0ms (0.9%)

Memory
-3.8MiB live, 43.2MiB allocated; 2ms collecting garbage
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (- 1 (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 1/2 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
Calls

7 calls:

13.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
99.1%2(hypot.f64 #s(literal 1 binary64) x)
99.1%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.1%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.1%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.1%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.1%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.1%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes40.0ms (1%)

Memory
-10.2MiB live, 36.9MiB allocated; 1ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

20.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
4.0ms
x
4.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
99.1%2(hypot.f64 #s(literal 1 binary64) x)
99.1%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.1%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.1%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.1%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.1%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.1%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes37.0ms (0.9%)

Memory
-15.4MiB live, 33.7MiB allocated; 3ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (sqrt (+ (* x x) 1))) 1/2) (/.f64 #s(literal 1/2 binary64) x)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))
Calls

7 calls:

19.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms
x
3.0ms
(hypot.f64 #s(literal 1 binary64) x)
3.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
3.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
98.6%2(hypot.f64 #s(literal 1 binary64) x)
98.6%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
98.6%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
98.6%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
98.6%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
98.6%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
98.6%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes14.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1))) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
Calls

7 calls:

2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
97.8%2(hypot.f64 #s(literal 1 binary64) x)
97.8%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
97.8%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
97.8%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
97.8%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
97.8%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
97.8%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes21.0ms (0.5%)

Memory
-28.4MiB live, 18.9MiB allocated; 1ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(approx (- 1/2 (/ 1/2 x)) #s(literal 1/2 binary64)))))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
Calls

7 calls:

13.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
x
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
75.4%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
75.4%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
75.4%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
75.4%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
75.4%2(hypot.f64 #s(literal 1 binary64) x)
75.4%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
75.7%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
30.6%1(hypot.f64 #s(literal 1 binary64) x)
30.6%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
30.6%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
30.6%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
30.6%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
30.6%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
30.6%1x
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch16.0ms (0.4%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.002467580383189955
9090422.893389769
Samples
8.0ms144×0valid
Compiler

Compiled 641 to 499 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-hypot: 2.0ms (36.3% of total)
ival-sqrt: 1.0ms (18.1% of total)
ival-div!: 1.0ms (18.1% of total)
ival-mult!: 1.0ms (18.1% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Memory
-29.4MiB live, 17.7MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
0.002467580383189955
9090422.893389769
Samples
14.0ms96×0valid
2.0ms16×1valid
Compiler

Compiled 515 to 364 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-hypot: 11.0ms (80.9% of total)
ival-div!: 1.0ms (7.4% of total)
ival-sqrt: 1.0ms (7.4% of total)
ival-mult!: 1.0ms (7.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
0.002467580383189955
9090422.893389769
Samples
1.0ms16×0valid
Compiler

Compiled 533 to 418 computations (21.6% saved)

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

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.002467580383189955
9090422.893389769
Compiler

Compiled 515 to 409 computations (20.6% saved)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.002467580383189955
9090422.893389769
Compiler

Compiled 488 to 382 computations (21.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.002380090026586869
0.002467580383189955
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.002467580383189955
9090422.893389769
Compiler

Compiled 344 to 346 computations (-0.6% saved)

bsearch8.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
0.002467580383189955
9090422.893389769
Samples
4.0ms64×0valid
Compiler

Compiled 317 to 328 computations (-3.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-hypot: 1.0ms (39.2% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
4.0ms
0.002467580383189955
9090422.893389769
Samples
2.0ms32×0valid
Compiler

Compiled 299 to 310 computations (-3.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-hypot: 1.0ms (80.6% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch23.0ms (0.6%)

Memory
-12.5MiB live, 34.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
1.7067181679152501e-77
1.1581356493069064e-75
Samples
15.0ms112×1valid
Compiler

Compiled 223 to 230 computations (-3.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-hypot: 5.0ms (40.8% of total)
adjust: 2.0ms (16.3% of total)
ival-sqrt: 2.0ms (16.3% of total)
ival-add!: 1.0ms (8.2% of total)
ival-sub!: 1.0ms (8.2% of total)
ival-div!: 1.0ms (8.2% of total)
ival-mult!: 1.0ms (8.2% of total)

derivations396.0ms (9.9%)

Memory
-18.5MiB live, 367.4MiB allocated; 94ms collecting garbage
Stop Event
fuel
Compiler

Compiled 211 to 105 computations (50.2% saved)

preprocess88.0ms (2.2%)

Memory
32.5MiB live, 271.8MiB allocated; 20ms collecting garbage
Remove

(abs x)

Compiler

Compiled 1 149 to 816 computations (29% saved)

end0.0ms (0%)

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

Profiling

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