bug333 (missed optimization)

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample1.7s (56%)

Memory
48.4MiB live, 1 468.5MiB allocated; 924ms collecting garbage
Samples
787.0ms3 405×2valid
464.0ms4 724×1valid
5.0ms127×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
adjust: 524.0ms (51.4% of total)
ival-sqrt: 344.0ms (33.8% of total)
ival-sub!: 92.0ms (9% of total)
ival-add!: 60.0ms (5.9% of total)
Bogosity

preprocess82.0ms (2.8%)

Memory
-29.6MiB live, 48.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01432
11832
22132
33928
49028
532128
6266028
7613528
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
7 → 46
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Calls

3 calls:

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

rewrite69.0ms (2.3%)

Memory
-1.7MiB live, 90.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02231305
02291094
012501036
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
53 → 62
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
Outputs
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (+ 1 x)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 x)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (- 1 x)) #s(literal 1 binary64))
#s(approx (sqrt (- 1 x)) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (- 1 x)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval5.0ms (0.2%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 741 to 273 computations (63.2% saved)

prune5.0ms (0.2%)

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759
Accuracy
100.0%
Counts
59 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
9.0%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
98.8%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
98.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 196 to 165 computations (15.8% saved)

series11.0ms (0.4%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
27 → 110
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 7/128 (pow x 5))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8))
3.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8))
2.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (+ (* 33/1024 (* x x)) 7/128) 33/1024 (* x x) x 7/128 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* x x) 1/8) 1) x) (+ (* (* x x) 1/8) 1) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) (sqrt (- 1 x)) (- 1 x) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (+ (* 7/128 (* x x)) 1/8))

rewrite146.0ms (4.9%)

Memory
-39.1MiB live, 104.2MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03772895
04112595
019362527
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
137 → 223
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
#s(literal 33/1024 binary64)
(*.f64 x x)
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/8) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* (* x x) 1/8) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1))
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* 7/128 (pow x 5))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* 7/128 (pow x 4))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) #s(hole binary64 (* (pow x 4) (+ 7/128 (+ (* 1/8 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* 7/128 (pow x 2))))
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(hole binary64 (* (pow x 2) (+ 7/128 (* 1/8 (/ 1 (pow x 2)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 2))) 7/128)))))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))
(/.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) #s(literal 49/16384 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64)))
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)) (*.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64)))))
(fma.f64 (*.f64 #s(literal 33/1024 binary64) x) x #s(literal 7/128 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(-.f64 #s(literal 7/128 binary64) (*.f64 #s(literal -33/1024 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))
#s(literal 33/1024 binary64)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
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#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) x))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 33/1024 (* x x)) 7/128) (*.f64 (*.f64 #s(literal 33/1024 binary64) x) x))
#s(approx (+ (* 33/1024 (* x x)) 7/128) (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)))
#s(approx (* (+ (* (* x x) 1/8) 1) x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (* x x) 1/8) 1) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
#s(approx (+ (* (* x x) 1/8) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ 1 x)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (- (/ 1 x) 1) x) (neg.f64 x))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary64))
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 7/128 binary64)))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 7/128 binary64)))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 7/128 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (*.f64 x x) #s(literal 7/128 binary64)))
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 7/128 binary64)) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* 33/1024 (* x x)) 7/128) (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 33/1024 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (sqrt (+ 1 x)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ 1 x)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (neg.f64 (sqrt.f64 (neg.f64 x))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))))
#s(approx (sqrt (- 1 x)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 binary64)))))

eval45.0ms (1.5%)

Memory
-5.3MiB live, 40.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 807 to 1 122 computations (60% saved)

prune6.0ms (0.2%)

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2453248
Fresh011
Picked235
Done011
Total2478255
Accuracy
100.0%
Counts
255 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.0%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
9.0%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
98.8%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
98.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 122 to 106 computations (13.1% saved)

series27.0ms (0.9%)

Memory
0.9MiB live, 45.2MiB allocated; 5ms collecting garbage
Counts
32 → 197
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 1))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x 1/8) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 x))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 3) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 3) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* 3 x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 3))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 2))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* -1/2 x) 1)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* x (- (* -1/8 (pow x 2)) 1/2)) 1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
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#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (sqrt (pow x 3))))
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#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (+ (sqrt -1) (* 2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (sqrt -1) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1)))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) x)) (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 4))) (+ (* 3/2 (sqrt x)) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) (sqrt -1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) x)) (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
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#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (* -3/2 (sqrt x)) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (+ (* -3/2 (sqrt x)) (* -1 (/ (- (* 1/2 (* (sqrt x) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (* (sqrt x) (* (sqrt -1) (- 1 (* -9/4 x)))))) x))) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- 1 (* -9/4 x))))) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 2 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 2 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (sqrt -1))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (- (+ 1 (sqrt -1)) (/ 1 x))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Calls

3 calls:

TimeVariablePointExpression
12.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* x (* x 1/8)) 1) x) (+ (* x (* x 1/8)) 1) x (* x 1/8) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) 33/1024 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) 3 (pow (sqrt (- 1 x)) 3) (sqrt (- 1 x)) (- 1 x) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))
7.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* x (* x 1/8)) 1) x) (+ (* x (* x 1/8)) 1) x (* x 1/8) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) 33/1024 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) 3 (pow (sqrt (- 1 x)) 3) (sqrt (- 1 x)) (- 1 x) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))
3.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* x (* x 1/8)) 1) x) (+ (* x (* x 1/8)) 1) x (* x 1/8) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) 33/1024 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (pow (sqrt (+ x 1)) 3) (sqrt (+ x 1)) (+ x 1) 3 (pow (sqrt (- 1 x)) 3) (sqrt (- 1 x)) (- 1 x) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))

rewrite182.0ms (6.1%)

Memory
34.6MiB live, 217.7MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08277415
08775950
048535772
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
229 → 377
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)
(fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))
x
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 1))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx x #s(hole binary64 x))
#s(approx (* x 1/8) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 1))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* 1/8 (pow x 2)))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 x))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 3) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 3) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* 3 x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 3))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 2))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* -1/2 x) 1)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* x (- (* -1/8 (pow x 2)) 1/2)) 1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* 1/8 (pow x 3))))
#s(approx (* (+ (* x (* x 1/8)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (+ (* x (* x 1/8)) 1) #s(hole binary64 (* (pow x 2) (+ 1/8 (/ 1 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))))) (* (pow x 3) (sqrt -1)))))))))))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (+ (sqrt -1) (* 2 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (sqrt -1) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (+ (* x 1) (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x))) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/8 (/ 1 (pow x 2))) (pow x 4))) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 7/128 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 33/1024)))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (/ (* x (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1)))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) x)) (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 4))) (+ (* 3/2 (sqrt x)) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) (sqrt -1)))))) x)) (* 3/2 (* (sqrt x) (/ 1 (sqrt -1))))) (+ (* -4 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (sqrt x))))) x)) (* 2 (/ (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 2)))) x)) (* (sqrt (/ 1 x)) (sqrt -1))) (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (* -3/2 (sqrt x)) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (* -1 (/ (- (+ (* -3/2 (sqrt x)) (* -1 (/ (- (* 1/2 (* (sqrt x) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2)))))) (* 1/2 (* (sqrt x) (* (sqrt -1) (- 1 (* -9/4 x)))))) x))) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ x 1)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- 1 (* -9/4 x))))) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (sqrt -1)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 2 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 2 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (sqrt -1))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (- (+ 1 (sqrt -1)) (/ 1 x))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
Outputs
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64)))
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x))
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))))
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/8 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))
x
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 x #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))) (-.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) x)
(+.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 #s(literal 1/8 binary64) x (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(fma.f64 x #s(literal 1/8 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x))) (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) #s(literal 1/64 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))
(/.f64 (+.f64 #s(literal 1/512 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) #s(literal 1/8 binary64))
(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
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(/.f64 (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))) (-.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) #s(literal 49/16384 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))
(/.f64 (+.f64 #s(literal 343/2097152 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 49/16384 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) (*.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 3 binary64)) #s(literal 343/2097152 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (-.f64 #s(literal 49/16384 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64))
(fma.f64 x (*.f64 x #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(-.f64 #s(literal 7/128 binary64) (*.f64 #s(literal -33/1024 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64))
(+.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(literal 3 binary64))
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#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(literal 1 binary64))
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#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 33/1024 binary64)))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (+ (* (* x x) 33/1024) 7/128) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)))
#s(approx (+ (* (* x x) 33/1024) 7/128) (*.f64 (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) 1) x) (*.f64 (+.f64 (+.f64 #s(literal 33/1024 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (+.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 7/128 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 33/1024 binary64)))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* x (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 33/1024 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 33/1024 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 7/128 binary64) (*.f64 x x))) #s(literal 33/1024 binary64))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal -2 binary64) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))) x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal -4 binary64) (+.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))) x))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 9/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (pow (sqrt (- 1 x)) 3) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 9/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) x))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
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#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))) x)) #s(literal 1 binary64)) x)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))

eval105.0ms (3.6%)

Memory
-1.8MiB live, 145.3MiB allocated; 26ms collecting garbage
Compiler

Compiled 8 405 to 2 641 computations (68.6% saved)

prune36.0ms (1.2%)

Memory
-17.0MiB live, 29.1MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5834587
Fresh000
Picked314
Done044
Total5869595
Accuracy
100.0%
Counts
595 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.1%
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
9.0%
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
9.0%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
9.0%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
8.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
98.8%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
98.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 133 to 109 computations (18% saved)

series21.0ms (0.7%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
35 → 264
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* 3 x)))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 1))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 3))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (+ x 1) (- 1 x)) #s(hole binary64 2))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 1))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 1))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 x))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* 3 x)))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 3))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 2))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* -1/2 x) 1)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* x (- (* -1/8 (pow x 2)) 1/2)) 1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))))) (* (pow x 3) (sqrt -1)))))))))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (+ (sqrt -1) (* 2 (/ 1 x))))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 2 (/ 1 x)))))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))))) (* (pow x 3) (sqrt -1)))))))))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (sqrt -1))))
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#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (sqrt -1) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))) 1))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (+ 1 (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
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#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (* (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) 1 (* (sqrt (- 1 x)) (- 1 x)) (sqrt (- 1 x)) (- 1 x) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))) (* (+ x 1) (- 1 x)) (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3) 3 (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x))))
6.0ms
x
@-inf
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (* (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) 1 (* (sqrt (- 1 x)) (- 1 x)) (sqrt (- 1 x)) (- 1 x) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))) (* (+ x 1) (- 1 x)) (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3) 3 (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x))))
2.0ms
x
@0
((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) (+ (* (* x x) 33/1024) 7/128) (* x x) x 33/1024 7/128 1/8 (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (* (sqrt (+ x 1)) (+ x 1)) (sqrt (+ x 1)) (+ x 1) 1 (* (sqrt (- 1 x)) (- 1 x)) (sqrt (- 1 x)) (- 1 x) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))) (* (+ x 1) (- 1 x)) (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3) 3 (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (* (sqrt (+ x 1)) (sqrt (- 1 x))) (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x))))

rewrite256.0ms (8.6%)

Memory
-43.2MiB live, 291.4MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105612028
011399902
161729436
082669115
Stop Event
iter-limit
node-limit
iter-limit
Counts
299 → 505
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64))
(fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))
(*.f64 x x)
x
#s(literal 33/1024 binary64)
#s(literal 7/128 binary64)
#s(literal 1/8 binary64)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 x))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 1/8 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 1/8 x)))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* 7/128 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* x (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 1/8))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* 7/128 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2)))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 7/128))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (+ 7/128 (* 33/1024 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 x))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* 3 x)))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 1))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 1))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* -1/8 x) 1/2)))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1/16 x) 1/8)) 1/2)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 3))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (+ x 1) (- 1 x)) #s(hole binary64 2))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 1))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 1))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (+ 1 (* -1 (pow x 2)))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 x))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* 3 x)))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -9/1024 (pow x 2)) 3/128)) 1/8))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* 1/16 x))) 3/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 3))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* -1/2 (pow x 2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (+ 3 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 2))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* -1 x))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* -1/2 x) 1)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ 2 (* x (- (* x (- (* -1/8 (pow x 2)) 1/2)) 1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/8 (pow x 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 7/128 (* 33/1024 (pow x 2))))))))))
#s(approx (- (+ x 1) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 2))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* -1/4 (pow x 2)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* -5/64 (pow x 2)) 1/4)))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -21/512 (pow x 2)) 5/64)) 1/4)))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* 33/1024 (pow x 7))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) x) x) #s(hole binary64 (* (pow x 7) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (+ (* 7/128 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* 33/1024 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) x) #s(hole binary64 (* (pow x 6) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* 33/1024 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) x) #s(hole binary64 (* (pow x 5) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* 33/1024 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 33/1024) 7/128) (* x x)) 1/8) #s(hole binary64 (* (pow x 4) (+ 33/1024 (+ (/ 1/8 (pow x 4)) (* 7/128 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* 33/1024 (pow x 2))))
#s(approx (+ (* (* x x) 33/1024) 7/128) #s(hole binary64 (* (pow x 2) (+ 33/1024 (* 7/128 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
#s(approx (/ (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))))) (* (pow x 3) (sqrt -1)))))))))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* (sqrt x) (sqrt -1))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (sqrt (- 1 x)) #s(hole binary64 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (+ (sqrt -1) (* 2 (/ 1 x))))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 2 (/ 1 x)))))))
#s(approx (+ (+ (+ x 1) (- 1 x)) (sqrt (* (+ x 1) (- 1 x)))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (* 2 (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (sqrt -1))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))))
#s(approx (sqrt (* (+ x 1) (- 1 x))) #s(hole binary64 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (* -1 (pow x 2))))
#s(approx (* (+ x 1) (- 1 x)) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (/ (* x (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))) (sqrt -1))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* -2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (sqrt (/ 1 x))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1)))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2))))))))))))
#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (/ 1 (sqrt -1))))) (+ (sqrt (/ 1 x)) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* (pow x 2) (pow (sqrt -1) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (* x (pow (sqrt -1) 2)))) (* 2 (/ (- (* 3/2 (* (sqrt x) (/ 1 (sqrt -1)))) (+ (* -4 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (+ (* 1/2 (/ (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) (pow (sqrt -1) 3))) (* 3/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))))) (* (pow x 3) (sqrt -1)))))))))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) #s(hole binary64 (* (pow x 2) (- (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (/ (- 1 (* 9/4 (/ x (pow (sqrt -1) 2)))) (sqrt -1)))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1)))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 x)) (sqrt -1))))))
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#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (+ x 1) (sqrt (+ x 1))) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -3/2 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (pow (sqrt (- 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (sqrt -1) (- 1 (* -9/4 x))))) (* 3/2 (* (sqrt x) (sqrt -1)))) (pow x 3))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (- (sqrt -1) (* 2 (/ 1 x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 2 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 2 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (sqrt -1))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (- (+ 1 (sqrt -1)) (/ 1 x))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x))))))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (* -1 (* x (+ 1 (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (sqrt -1)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (/ -2 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/16 (* (sqrt (pow x 5)) (sqrt -1))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (+ (* -1 (/ (* (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))) (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 2 (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1))))) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (pow x 6))) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (sqrt -1))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) (* (pow x 2) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (+ (* 2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (sqrt -1)))) 2) (* (pow x 4) (pow (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3)))) (* 2 (/ 1 (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (+ (* (sqrt (/ 1 x)) (sqrt -1)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))))))
Outputs
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x))
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(*.f64 x (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) x))
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(fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x) x)
(fma.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x)
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(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
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(+.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) (*.f64 x x)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x)))
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(fma.f64 x #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
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(+.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) x))
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(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x #s(literal 1/8 binary64))
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(-.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) x) x) #s(literal 1/8 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) (*.f64 (*.f64 x x) #s(literal 33/1024 binary64))) #s(literal 49/16384 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 33/1024 binary64)) #s(literal 7/128 binary64)))
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#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (- (* (sqrt (+ x 1)) (+ x 1)) (* (sqrt (- 1 x)) (- 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 x x)))
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#s(approx (* (sqrt (+ x 1)) (+ x 1)) (sqrt.f64 (*.f64 (*.f64 x x) x)))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (pow.f64 x #s(literal -5/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* (sqrt (+ x 1)) (+ x 1)) (*.f64 (+.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (pow.f64 x #s(literal -5/2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (* (sqrt (- 1 x)) (- 1 x)) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal -5/2 binary64))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -7/2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 9/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -5/2 binary64)) (pow.f64 x #s(literal -7/2 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal -1 binary64))) x))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) x))
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#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64))) x))
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#s(approx (* (+ x 1) (- 1 x)) (neg.f64 (*.f64 x x)))
#s(approx (* (+ x 1) (- 1 x)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
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#s(approx (/ (- (* (+ x 1) (sqrt (+ x 1))) (pow (sqrt (- 1 x)) 3)) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (-.f64 (-.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal -4 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))) x))
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#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal -1 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -7/2 binary64)) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))))))

eval167.0ms (5.6%)

Memory
17.1MiB live, 158.9MiB allocated; 20ms collecting garbage
Compiler

Compiled 11 090 to 3 473 computations (68.7% saved)

prune37.0ms (1.3%)

Memory
-4.8MiB live, 39.8MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8782880
Fresh000
Picked404
Done145
Total8836889
Accuracy
100.0%
Counts
889 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.9%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
100.0%
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
9.0%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
98.8%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
98.1%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 247 to 164 computations (33.6% saved)

regimes9.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated; 0ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 33/1024 binary64) (*.f64 x x) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 33/1024 binary64) #s(literal 7/128 binary64)) (*.f64 x x) #s(literal 1/8 binary64)) x) x))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
Outputs
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (+.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
100.0%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
98.8%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
98.1%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
98.1%1x
Compiler

Compiled 9 to 8 computations (11.1% saved)

derivations51.0ms (1.7%)

Memory
-3.4MiB live, 43.6MiB allocated; 1ms collecting garbage
Stop Event
fuel
Compiler

Compiled 30 to 24 computations (20% saved)

preprocess33.0ms (1.1%)

Memory
-13.0MiB live, 43.5MiB allocated; 6ms collecting garbage
Compiler

Compiled 38 to 31 computations (18.4% saved)

end0.0ms (0%)

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

Profiling

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