bug333 (missed optimization)

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample2.0s (54%)

Memory
-20.2MiB live, 2 092.4MiB allocated; 374ms collecting garbage
Samples
889.0ms3 386×2valid
723.0ms4 736×1valid
6.0ms134×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
adjust: 529.0ms (43.1% of total)
ival-sqrt: 324.0ms (26.4% of total)
ival-sub: 230.0ms (18.7% of total)
ival-add: 134.0ms (10.9% of total)
exact: 8.0ms (0.7% of total)
ival-assert: 2.0ms (0.2% of total)
Bogosity

explain166.0ms (4.5%)

Memory
4.0MiB live, 247.2MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))cancellation2550
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-001
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms206×2valid
43.0ms300×1valid
0.0ms0valid
Compiler

Compiled 63 to 25 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
adjust: 24.0ms (36.7% of total)
ival-sqrt: 21.0ms (32.1% of total)
ival-sub: 12.0ms (18.4% of total)
ival-add: 7.0ms (10.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess232.0ms (6.3%)

Memory
-1.9MiB live, 235.1MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432
11832
22132
33928
49028
532128
6266028
7613528
079
0129
1159
2189
3319
4709
52859
624209
758459
080849
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Outputs
(-.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)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

series7.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB 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
3.0ms
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))

rewrite66.0ms (1.8%)

Memory
7.3MiB live, 101.3MiB allocated; 5ms 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) (pow.f64 x #s(literal 3 binary64))) (+.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) (pow.f64 x #s(literal 3 binary64))) (+.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) (fma.f64 #s(literal -1 binary64) 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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) x))
#s(approx (sqrt (+ 1 x)) (sqrt.f64 x))
#s(approx (sqrt (+ 1 x)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))

eval9.0ms (0.2%)

Memory
-38.6MiB live, 12.0MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 455 to 271 computations (81.4% saved)

prune6.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60565
Fresh000
Picked011
Done000
Total60666
Accuracy
100.0%
Counts
66 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(/.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))))))
7.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%
#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))
99.8%
#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))
99.7%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 251 to 141 computations (43.8% saved)

series24.0ms (0.6%)

Memory
-11.7MiB live, 33.9MiB allocated; 3ms collecting garbage
Counts
31 → 183
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))
#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))
(/.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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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 (/ (- (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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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 (/ (- (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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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)))))
#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)))))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
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))) (* (+ (* (+ (* 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) (/ (- (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))))
6.0ms
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))) (* (+ (* (+ (* 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) (/ (- (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))))
4.0ms
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))) (* (+ (* (+ (* 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) (/ (- (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))))

rewrite543.0ms (14.6%)

Memory
-34.1MiB live, 246.8MiB allocated; 724ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08166799
08675374
048845217
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
214 → 344
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))
#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))
(/.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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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 (/ (- (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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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 (/ (- (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 (* (+ (* (+ (* (+ (* 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 (* (+ (* (+ (* 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)))))
#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 (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)) x))
(*.f64 (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)) x)
(*.f64 x (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 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 (*.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 1/64 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 (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)))))
(/.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)))))
(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 (*.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 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 (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)))))
(/.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))))))
(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 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)))
#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)))
x
#s(literal 7/128 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)))))) x)
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#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 7/128 binary64)))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 7/128 binary64)) (*.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 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) (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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64))) (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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (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 (pow.f64 x #s(literal -3 binary64))) (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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #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))
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#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x))
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#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
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#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) x))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #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 (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 (/ (- (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 (neg.f64 x) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 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 (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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 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 (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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64) #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 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7/128 binary64) #s(literal 33/1024 binary64))) (pow.f64 x #s(literal 7 binary64)))))
#s(approx (* (+ (* (+ (* 7/128 (* x x)) 1/8) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 7/128 binary64)) (pow.f64 x #s(literal 5 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 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (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 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) #s(literal 2 binary64) (-.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (-.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)))) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))) x))) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64))))) x) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1 binary64)))) x) #s(literal -1 binary64) (-.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) (sqrt.f64 #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (pow (sqrt (- 1 x)) 3)) (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) x))))) x))) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -3/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (pow (sqrt (- 1 x)) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#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)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (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 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (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) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))

eval98.0ms (2.6%)

Memory
9.5MiB live, 104.0MiB allocated; 37ms collecting garbage
Compiler

Compiled 27 053 to 2 320 computations (91.4% saved)

prune16.0ms (0.4%)

Memory
-9.2MiB live, 40.1MiB allocated; 2ms collecting garbage
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5972599
Fresh000
Picked145
Done011
Total5987605
Accuracy
100.0%
Counts
605 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.9%
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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))))))
7.9%
(/.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))))
7.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%
#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))
99.8%
#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))
99.7%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 149 to 83 computations (44.3% saved)

series16.0ms (0.4%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Counts
17 → 142
Calls
Call 1
Inputs
(/.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 x #s(literal 1 binary64))
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)))
(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)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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))))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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 (/ (- (+ 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 (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 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 (+ 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 (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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* 3 x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 3 (* -1/8 (pow x 2))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) #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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #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 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (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))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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 (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (+ x 1)) (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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 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 (+ 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 (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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (* (- 1 x) (sqrt (- 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 (* (- 1 x) (sqrt (- 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 (* (- 1 x) (sqrt (- 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 (+ 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 (/ (- (+ 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 (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#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)))))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #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 (* (- 1 x) (sqrt (- 1 x))) #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)))))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) x 1 (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)) (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (pow (sqrt (+ x 1)) 3) 3 (* (- 1 x) (sqrt (- 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))))
4.0ms
x
@-inf
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) x 1 (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)) (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (pow (sqrt (+ x 1)) 3) 3 (* (- 1 x) (sqrt (- 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
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (+ x 1) x 1 (- 1 x) (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (sqrt (- 1 x)) (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (pow (sqrt (+ x 1)) 3) 3 (* (- 1 x) (sqrt (- 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))))

rewrite207.0ms (5.6%)

Memory
4.3MiB live, 145.5MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08386869
08775509
053735343
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
159 → 221
Calls
Call 1
Inputs
(/.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 x #s(literal 1 binary64))
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)))
(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)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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))))))
(-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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 (/ (- (+ 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 (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 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 (+ 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 (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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* 3 x)))
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#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* x (+ 3 (* (pow x 2) (- (* -3/128 (pow x 2)) 1/8))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) #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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 1))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* -3/2 x))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 3/2)))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #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))))
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#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 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (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))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#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 (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (+ x 1)) (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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 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 (+ 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 (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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #s(hole binary64 (* (pow x 2) (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 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 (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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (* (sqrt (pow x 3)) (sqrt -1))))
#s(approx (* (- 1 x) (sqrt (- 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 (* (- 1 x) (sqrt (- 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 (* (- 1 x) (sqrt (- 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 (+ 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 (/ (- (+ 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 (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#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)))))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 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 (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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) (* (- 1 x) (sqrt (- 1 x)))) #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 (* (- 1 x) (sqrt (- 1 x))) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (sqrt -1))) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) #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 (* (- 1 x) (sqrt (- 1 x))) #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)))))))))
Outputs
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(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(+.f64 x (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
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(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
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#s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
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#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(literal 2 binary64))
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#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
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#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (fma.f64 (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 (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))) x))
#s(approx (/ (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))))) (*.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))) x))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (-.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.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 (pow.f64 x #s(literal -3 binary64))) (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)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (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 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x 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))
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#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (pow (sqrt (+ x 1)) 3) (* (- 1 x) (sqrt (- 1 x)))) (*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (sqrt.f64 x) #s(literal -3/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) x))))) x))) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow (sqrt (+ x 1)) 3) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) (/.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) #s(literal -3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal -1 binary64))) #s(literal -3/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (* (- 1 x) (sqrt (- 1 x))) (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -9/4 binary64) x))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (+ x 1)) (sqrt (+ x 1))) (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (*.f64 x x)))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x) #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#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)) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ (* (sqrt (- 1 x)) (sqrt (- 1 x))) (* (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) x) #s(literal -1 binary64) (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 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (*.f64 x x)))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #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 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))
#s(approx (* (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))))

eval67.0ms (1.8%)

Memory
-0.4MiB live, 90.4MiB allocated; 14ms collecting garbage
Compiler

Compiled 25 378 to 1 926 computations (92.4% saved)

prune11.0ms (0.3%)

Memory
-14.0MiB live, 32.6MiB allocated; 2ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New5211522
Fresh000
Picked202
Done055
Total5236529
Accuracy
100.0%
Counts
529 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
7.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%
#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))
99.8%
#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))
99.7%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 110 to 75 computations (31.8% saved)

series5.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
11 → 60
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
#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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 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 (+ 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)) #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)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (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))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (+ x 1)) (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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 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 (+ 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)) #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)) (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)))))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 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
1.0ms
x
@-inf
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (* 2 x) 2 x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) 1 (sqrt (- 1 x)) (- 1 x))
1.0ms
x
@inf
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (* 2 x) 2 x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) 1 (sqrt (- 1 x)) (- 1 x))
1.0ms
x
@0
((/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (- (+ x 1) (- 1 x)) (* 2 x) 2 x (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (sqrt (+ x 1)) (+ x 1) 1 (sqrt (- 1 x)) (- 1 x))

rewrite86.0ms (2.3%)

Memory
28.7MiB live, 82.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872748
03962226
023992144
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
71 → 86
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#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 (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 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 (+ 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)) #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)) (sqrt (- 1 x)))) #s(hole binary64 (/ 2 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (+ (* -2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) #s(hole binary64 (- (+ (* -1 (/ (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (pow x 4))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (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))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3))) (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1)))))) (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))) (* 2 (/ (+ (* 1/16 (sqrt (pow x 5))) (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 5))))) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2))))) (pow x 6))) (* 2 (/ 1 (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1)))))) (+ (* -2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) 2) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 3)))) (+ (* 2 (/ (+ (* -1/8 (sqrt (pow x 3))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 3))))) (* (pow x 4) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))) (* 2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (/ 1 (sqrt -1))))) (* (pow x 2) (pow (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))) 2)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (sqrt -1))))))
#s(approx (+ (sqrt (+ x 1)) (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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 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 (+ x 1)) (sqrt (- 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 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 (+ 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)) #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)) (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)))))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (sqrt (- 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 (neg.f64 #s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (+.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 #s(literal 2 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(+.f64 x x)
#s(literal 2 binary64)
x
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) x)
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (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 (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (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 (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 binary64) x))
#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) #s(literal 2 binary64))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (-.f64 (*.f64 #s(literal -5/64 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -21/512 binary64) (*.f64 x x)) #s(literal 5/64 binary64)) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #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 (-.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) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 (pow.f64 x #s(literal 5/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (pow.f64 x #s(literal 5/2 binary64))))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 x)))) (pow.f64 (*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))))))))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (fma.f64 (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 (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt (+ x 1)) (sqrt (- 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (- 1 x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) x))
#s(approx (sqrt (- 1 x)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -5 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))))) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (- (+ x 1) (- 1 x)) (+ (sqrt (+ x 1)) (sqrt (- 1 x)))) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal 2 binary64) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) x) #s(literal 2 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 #s(literal 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) (*.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 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #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 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #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 (sqrt.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 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #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)) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #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 (pow.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))

eval12.0ms (0.3%)

Memory
-28.4MiB live, 17.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 3 588 to 500 computations (86.1% saved)

prune6.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New89190
Fresh000
Picked101
Done055
Total90696
Accuracy
100.0%
Counts
96 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))))
7.9%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%
#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))
99.8%
#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))
99.7%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
99.3%
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)
Compiler

Compiled 342 to 129 computations (62.3% saved)

regimes6.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Counts
10 → 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 (*.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))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #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))
(/.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 #s(approx (- (+ x 1) (- 1 x)) (*.f64 #s(literal 2 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 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.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))))))
(/.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:

3.0ms
x
2.0ms
(-.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 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
5 → 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 (*.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))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #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))
Outputs
#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))
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
99.8%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB 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 (*.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))
(-.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 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #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
99.8%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0.1%)

Memory
-40.8MiB live, 6.4MiB allocated; 2ms collecting garbage
Counts
2 → 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 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
Outputs
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
Calls

2 calls:

2.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
1.0ms
x
Results
AccuracySegmentsBranch
99.7%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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
99.3%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
99.3%1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify33.0ms (0.9%)

Memory
32.8MiB live, 32.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034101
143101
25999
310697
424697
5210397
6786297
Stop Event
node limit
Calls
Call 1
Inputs
(/.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))))
#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))) (*.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 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) 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))))
#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))) (*.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 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x)

derivations46.0ms (1.2%)

Memory
-8.2MiB live, 38.4MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 101 to 35 computations (65.3% saved)

preprocess35.0ms (0.9%)

Memory
-5.5MiB live, 43.5MiB allocated; 7ms collecting garbage
Compiler

Compiled 246 to 104 computations (57.7% saved)

end0.0ms (0%)

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

Profiling

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