2isqrt (example 3.6)

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.8s (53.5%)

Memory
17.0MiB live, 1 904.4MiB allocated; 442ms collecting garbage
Samples
841.0ms6 143×1valid
447.0ms1 984×2valid
6.0ms129×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sqrt: 364.0ms (34.3% of total)
ival-div!: 329.0ms (31% of total)
adjust: 283.0ms (26.7% of total)
ival-add!: 44.0ms (4.2% of total)
ival-sub!: 40.0ms (3.8% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

explain157.0ms (4.7%)

Memory
13.9MiB live, 262.5MiB allocated; 18ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1611(1.0225923963118756e+215)0-(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(sqrt.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
00-0-(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-#s(literal 1 binary64)
00-0-(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))cancellation1620
Confusion
Predicted +Predicted -
+1610
-194
Precision
0.9938271604938271
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+16100
-1094
Precision?
0.9938271604938271
Recall?
1.0
Freqs
test
numberfreq
094
1162
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms376×1valid
46.0ms130×2valid
0.0ms0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
adjust: 32.0ms (44.4% of total)
ival-sqrt: 21.0ms (29.1% of total)
ival-div!: 11.0ms (15.3% of total)
ival-add!: 6.0ms (8.3% of total)
ival-sub!: 2.0ms (2.8% of total)

preprocess56.0ms (1.7%)

Memory
-36.3MiB live, 10.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01638
12038
22338
34538
413438
5108435
6571735
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

series8.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Counts
8 → 44
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) 1 (sqrt x) x (/ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1))

rewrite75.0ms (2.2%)

Memory
10.0MiB live, 150.6MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131066
0222934
01281890
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
52 → 68
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
Outputs
(/.f64 (-.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
(pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.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 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
#s(approx (/ 1 (sqrt x)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/16 binary64) x #s(literal 3/8 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (+ x 1))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.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 -7 binary64))) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#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) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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)))) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) 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 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (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 #s(literal -1 binary64) (pow.f64 (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 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))))

eval10.0ms (0.3%)

Memory
-24.6MiB live, 21.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 1 379 to 307 computations (77.7% saved)

prune17.0ms (0.5%)

Memory
39.0MiB live, 39.0MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New491362
Fresh000
Picked011
Done000
Total491463
Accuracy
87.1%
Counts
63 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.7%
(/.f64 (-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
43.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
43.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
41.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
5.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
3.3%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
2.6%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
3.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
2.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
86.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
86.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
71.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
Compiler

Compiled 641 to 410 computations (36% saved)

series45.0ms (1.3%)

Memory
-13.8MiB live, 79.9MiB allocated; 7ms collecting garbage
Counts
44 → 182
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
14.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (- (pow (sqrt x) -1) (sqrt x)))
14.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (- (pow (sqrt x) -1) (sqrt x)))
12.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (* (sqrt (pow x -5)) -1/2) (sqrt (pow x -5)) (pow x -5) x -5 -1/2 (+ (* 1/2 x) 1) 1/2 1 (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (sqrt x) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (+ (* 1/4 x) 1) 1/4 (sqrt (pow x -3)) (pow x -3) -3 (* 1/2 (pow (sqrt x) -1)) (pow (sqrt x) -1) -1 (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (- (* 1/2 x) 1) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (sqrt (/ (- (* x x) 1) (- x 1))) (/ (- (* x x) 1) (- x 1)) (- (* x x) 1) (- x 1) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (- (pow (sqrt x) -1) (sqrt x)))

rewrite143.0ms (4.2%)

Memory
-12.2MiB live, 133.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06536000
07204639
036234534
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
226 → 369
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(pow.f64 x #s(literal -5 binary64))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(sqrt.f64 x)
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x)))
(-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (- (* 1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (* -1/2 (sqrt x))))) (pow x 3))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* -1/4 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (sqrt (/ 1 (pow x 5)))))
#s(approx (pow x -5) #s(hole binary64 (/ 1 (pow x 5))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/2 (sqrt (pow x 3))) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))))) (pow x 2))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (/ (+ (sqrt x) (* 1/4 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (pow x -3) #s(hole binary64 (/ 1 (pow x 3))))
#s(approx (* 1/2 (pow (sqrt x) -1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (pow (sqrt x) -1) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 -1))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (- (* 1/2 x) 1)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 1))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* -1/2 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* 3/8 x) 1/2)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 1))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 1))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (+ 1 x)))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (sqrt (/ 1 x)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/4 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/4 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 1) #s(hole binary64 (* x (+ 1/2 (/ 1 x)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* 1/4 (sqrt (/ 1 x)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* 1/4 (sqrt (/ 1 x))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* x (- 1/2 (/ 1 x)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 x))
#s(approx (/ (- (* x x) 1) (- x 1)) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) #s(hole binary64 (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (* (sqrt (pow x -5)) -1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2)))))
#s(approx (sqrt (pow x -5)) #s(hole binary64 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) #s(hole binary64 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) #s(hole binary64 (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (sqrt (pow x -3)) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ 1 (sqrt (+ x 1))) #s(hole binary64 (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (- (* 1/2 x) 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1/2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) #s(hole binary64 (+ (sqrt (/ 1 x)) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) (pow x 3))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x) x)
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))))))
(-.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1/2 binary64))
(*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -5/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal -5 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)))
x
#s(literal -5 binary64)
#s(literal -1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
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#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
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#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1/2 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))))) x))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/4 binary64)))
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#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) x))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64)))) x))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)))
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#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)))
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#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
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#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (sqrt.f64 x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))) (pow.f64 x #s(literal -1/2 binary64))) x))
#s(approx (/ (- (* x x) 1) (- x 1)) x)
#s(approx (/ (- (* x x) 1) (- x 1)) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
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#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 x x)))
#s(approx (- x 1) x)
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#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
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#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (*.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x))
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#s(approx (- (pow (sqrt x) -1) (sqrt x)) (*.f64 (-.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) x))
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#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) x))) x)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) x) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/4 binary64)))
#s(approx (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) x)))
#s(approx (* (sqrt (pow x -5)) -1/2) (*.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
#s(approx (sqrt (pow x -5)) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) x))))
#s(approx (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))) x)))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64)))
#s(approx (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/4 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))))))
#s(approx (sqrt (pow x -3)) (neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (* 1/2 x) 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ 1 (sqrt (/ (- (* x x) 1) (- x 1)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (/ (- (* x x) 1) (- x 1))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal -1 binary64)) #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- x 1) (*.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (* x x)) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) x)))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* -1/2 (- (pow (sqrt x) -1) (sqrt x))) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (pow (sqrt x) -1) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))

eval49.0ms (1.5%)

Memory
30.3MiB live, 128.2MiB allocated; 10ms collecting garbage
Compiler

Compiled 15 885 to 1 985 computations (87.5% saved)

prune21.0ms (0.6%)

Memory
-38.5MiB live, 54.1MiB allocated; 8ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New35613369
Fresh718
Picked415
Done011
Total36716383
Accuracy
99.9%
Counts
383 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.4%
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
43.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
43.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
86.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x)))
98.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
82.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
48.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
85.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
5.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
98.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
99.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
18.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
3.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 1 210 to 765 computations (36.8% saved)

series25.0ms (0.7%)

Memory
19.1MiB live, 66.1MiB allocated; 2ms collecting garbage
Counts
38 → 143
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (/ (+ (* 1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* x (- (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x) (- (pow x -1/2) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (pow x -1/2) (sqrt x))))
6.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x) (- (pow x -1/2) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (pow x -1/2) (sqrt x))))
5.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (pow x -1/2) x -1/2 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (* 1/2 x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (/ 1 (sqrt x)) 1 (sqrt x) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x) (- (pow x -1/2) (sqrt x)) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (pow x -1/2) (sqrt x))))

rewrite111.0ms (3.3%)

Memory
17.1MiB live, 162.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05424951
05903992
029853851
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
181 → 316
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(pow.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 5))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) (pow x 2))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (/ (+ (* 1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (+ (sqrt (/ 1 (pow x 3))) (* -1 (sqrt (/ 1 x))))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* x (- (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (/ -1/2 x) (/ (- (pow x -1/2) (sqrt x)) x)) #s(hole binary64 (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) #s(hole binary64 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (pow x -1/2) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
Outputs
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#s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
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#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (* -1/2 (- (/ 1 (sqrt x)) (sqrt x))) (* x x)) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))) x)))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
#s(approx (/ (- (pow x -1/2) (sqrt x)) x) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -5/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (* x x)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -5/8 binary64))) x))) x)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -5/8 binary64)) x)))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -5/8 binary64))) x)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/8 binary64)))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/8 binary64))))
#s(approx (* (pow x -3/2) 1/2) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (pow x -3/2) (neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (pow x -1/2) (sqrt x))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))))))

eval39.0ms (1.2%)

Memory
0.3MiB live, 97.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 15 597 to 1 597 computations (89.8% saved)

prune18.0ms (0.5%)

Memory
-7.1MiB live, 40.1MiB allocated; 2ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New3046310
Fresh279
Picked325
Done022
Total30917326
Accuracy
99.9%
Counts
326 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.4%
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
43.7%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
43.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
86.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
37.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) (*.f64 x x)))
85.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
98.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
82.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
48.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
5.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
98.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
98.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
18.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
48.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
3.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 1 383 to 870 computations (37.1% saved)

series40.0ms (1.2%)

Memory
-10.2MiB live, 83.8MiB allocated; 4ms collecting garbage
Counts
53 → 239
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 x) 1) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (/ (+ (* 1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1/4 (sqrt x))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x)))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (neg (* (sqrt x) 3/8)) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/4 (sqrt x)) #s(hole binary64 (* -1/4 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (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 (* 1 (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 (+ 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 x) (sqrt (+ x 1))) #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* x (- (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (- (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (* 3/8 (sqrt (/ 1 (pow x 3))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (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 x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (- (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* (pow x 2) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (neg (* (sqrt x) 3/8)) #s(hole binary64 (* 3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/4 (sqrt x)) #s(hole binary64 (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Calls

3 calls:

TimeVariablePointExpression
18.0ms
x
@-inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) (pow x 3/2) 3/2 (neg (* (sqrt x) 3/8)) (* (sqrt x) 3/8) (* -1/4 (sqrt x)) -1/4 (* -1/2 (sqrt x)) (pow x 5) 5)
8.0ms
x
@0
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) (pow x 3/2) 3/2 (neg (* (sqrt x) 3/8)) (* (sqrt x) 3/8) (* -1/4 (sqrt x)) -1/4 (* -1/2 (sqrt x)) (pow x 5) 5)
8.0ms
x
@inf
((- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/ 1 (sqrt x)) 1 (sqrt x) x 1/2 (neg (/ (* (pow x -1/2) 3/8) x)) (/ (* (pow x -1/2) 3/8) x) (* (pow x -1/2) 3/8) (pow x -1/2) -1/2 3/8 (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (sqrt x) 1) (* (sqrt x) (sqrt (+ x 1))) (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* (pow x -3/2) 1/2) (pow x -3/2) -3/2 (+ (* 1/4 x) 1) 1/4 (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) (- (/ 1 (sqrt x)) (sqrt x)) (* x x) (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) (pow x 3/2) 3/2 (neg (* (sqrt x) 3/8)) (* (sqrt x) 3/8) (* -1/4 (sqrt x)) -1/4 (* -1/2 (sqrt x)) (pow x 5) 5)

rewrite257.0ms (7.6%)

Memory
-24.4MiB live, 250.8MiB allocated; 98ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09428960
010216908
055496598
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
292 → 517
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(pow.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x))
(-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))
(fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))
#s(literal -1/4 binary64)
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1 (* x (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x))))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -1 (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt x)))) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 5))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 3))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (/ (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x))) (pow x 2))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (sqrt (/ 1 x)))))
#s(approx (pow x -1/2) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* -1 x))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (+ (sqrt x) (* x (- (* 1/2 x) 1)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (pow x 3))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (* -1/8 (sqrt x)))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* x (+ (* 1/2 (sqrt x)) (* x (+ (* -1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))) (+ (* -1/8 (sqrt x)) (* x (+ (* -1/4 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt x)) (* 1/2 (* (sqrt (/ 1 x)) (- 1 (sqrt x)))))))))))) (* (sqrt x) (- 1 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#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 x) 1) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* 1/2 (sqrt (pow x 3))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (+ (sqrt x) (* (pow x 2) (+ (* 1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (sqrt (/ 1 x))))))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* -1 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* 1/2 x) 1))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (+ (sqrt x) (* x (- (* x (+ 1/2 (* -3/8 x))) 1))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 7))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 4))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (* 1/8 (sqrt x)) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* x (- (+ (* 1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (/ (+ (* 1/8 (sqrt (pow x 3))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (pow x -3/2) #s(hole binary64 (sqrt (/ 1 (pow x 3)))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 1))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (+ 1 (* 1/4 x))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (/ (+ (* -1/2 (sqrt (pow x 3))) (* 1/2 (sqrt x))) x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (/ (+ (sqrt x) (* -1 (sqrt (pow x 3)))) x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 9))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x))))) (pow x 5))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (+ (* -1/2 (sqrt x)) (* x (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (* -1/4 (sqrt x)) (* -1/2 (sqrt x)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x))) (* -1/2 (sqrt x)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (- (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))))) (* -1/2 (sqrt x)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1/4 (sqrt x))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (+ (* -3/8 (sqrt (pow x 3))) (* -1/4 (sqrt x)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (+ (* -1/4 (sqrt x)) (* x (+ (* -3/8 (sqrt x)) (* 1/2 (sqrt (pow x 3))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (- (* 1/2 (sqrt (pow x 3))) (* 3/8 (sqrt x)))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (neg (* (sqrt x) 3/8)) #s(hole binary64 (* -3/8 (sqrt x))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* 3/8 (sqrt x))))
#s(approx (* -1/4 (sqrt x)) #s(hole binary64 (* -1/4 (sqrt x))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (pow x 5) #s(hole binary64 (pow x 5)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))) x)) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* 1/2 x)))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* x (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* 1/2 (pow x 2))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1/4 (sqrt (/ 1 x))) (+ (* -5/32 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (+ (* 3/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x)))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (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 (* 1 (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 (+ 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 x) (sqrt (+ x 1))) #s(hole binary64 x))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 x))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 x)) (* 1/16 (/ 1 (pow x 3))))) (/ 1/8 (pow x 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (sqrt (/ 1 x))) (* -1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt (/ 1 x))))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ 1 (* 1/2 x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 x)))))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (/ (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) (* 1/2 (sqrt (/ 1 (pow x 3))))) x)))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* 1/2 (sqrt x))))
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#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* 1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* 1/4 x)))
#s(approx (+ (* 1/4 x) 1) #s(hole binary64 (* x (+ 1/4 (/ 1 x)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1/2 (sqrt x))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* x (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* x (- (sqrt (/ 1 (pow x 3))) (sqrt (/ 1 x))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* 1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (- (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (/ (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))))) (* -1/2 (sqrt (/ 1 (pow x 5))))) x)))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 7)))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (- (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x))))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 3/8 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* 1/2 (sqrt (pow x 5)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* (pow x 3) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* (pow x 3) (- (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 x)))) (* 3/8 (sqrt (/ 1 (pow x 3))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* 1/2 (sqrt (pow x 3)))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* (pow x 2) (+ (* -3/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt (/ 1 x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5))))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt (/ 1 x)) (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 x)) (+ 1 (* -1/4 (/ x (pow (sqrt -1) 2)))))) (* -1/2 (sqrt x))) (pow x 3)))) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* 1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))) (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) x) #s(hole binary64 (* -1 (/ (+ (* -1/2 (sqrt (/ 1 x))) (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) #s(hole binary64 (+ (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (neg (/ (* (pow x -1/2) 3/8) x)) #s(hole binary64 (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (* (pow x -1/2) 3/8) x) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* (pow x -1/2) 3/8) #s(hole binary64 (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (pow x -1/2) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) #s(hole binary64 (* -1 (* x (- (+ (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)) (/ 1 x)) 1/2)))))
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) x))))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (* (sqrt x) (sqrt (+ x 1)))) #s(hole binary64 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* 1/16 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 4))))) x)) (+ (* -1/4 (* (sqrt x) (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (* -1/4 (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x))))
#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (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 x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (- (pow (sqrt -1) 2) (* 1/2 (/ 1 x)))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (+ (/ 1/16 (* (pow x 2) (pow (sqrt -1) 4))) (/ 1/8 (* x (pow (sqrt -1) 2))))) x)) (pow (sqrt -1) 2))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (* -1/2 (sqrt (/ 1 (pow x 3))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* 1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/4 x)))) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(hole binary64 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (- 1 (* -1/2 x)))) (* 1/2 (* (sqrt x) (- 1 (* -1/4 x))))) x)) (* 1/2 (sqrt x))) x)) (* 1/2 (sqrt x))) (pow x 2))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (* x x)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* 1/2 (sqrt (/ 1 x)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
#s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) #s(hole binary64 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (* (pow x -3/2) 1/2) #s(hole binary64 (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (pow x -3/2) #s(hole binary64 (* -1 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) #s(hole binary64 (* -1 (* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) #s(hole binary64 (* -1 (* x (- (* -1 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 7)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (- (+ (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) #s(hole binary64 (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) x)) (* -3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 3/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) x)) (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* 1/2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) #s(hole binary64 (* (pow x 2) (+ (* 3/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (neg (* (sqrt x) 3/8)) #s(hole binary64 (* 3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) 3/8) #s(hole binary64 (* -3/8 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/4 (sqrt x)) #s(hole binary64 (* 1/4 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* -1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)
(+.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 x))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x)
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
#s(literal 3/8 binary64)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(/.f64 (neg.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))) (neg.f64 x))
(/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x)
#s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 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 x) (sqrt.f64 x) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 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 (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 (neg.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
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#s(approx (+ x 1) x)
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#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
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#s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) x) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x))) x)))
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#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (* (pow x -1/2) 3/8) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64)))
#s(approx (pow x -1/2) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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#s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
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#s(approx (* 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (* 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
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#s(approx (* (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (sqrt x) (sqrt (+ x 1))) (neg.f64 (neg.f64 x)))
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#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
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#s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (/ 1 (sqrt x)) (sqrt x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))) x)))))
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#s(approx (* (pow x -3/2) 1/2) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64)))
#s(approx (pow x -3/2) (neg.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64)))))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (- (/ 1 (sqrt x)) (sqrt x))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (/ 1 (sqrt x)) (sqrt x)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))) x))) x)))
#s(approx (/ (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (pow x 5)) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) x))) x))) x)))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/4 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -1/2 binary64))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) x) (* -1/2 (sqrt x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))) x))) x))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (* -1/2 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) x))) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (*.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal -3/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) x) (* -1/4 (sqrt x))) (neg.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3/8 binary64))) x))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow x 3/2) 1/2) (neg (* (sqrt x) 3/8))) (*.f64 (fma.f64 (neg.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 3/8 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (*.f64 x x)))
#s(approx (pow x 3/2) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (neg (* (sqrt x) 3/8)) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x)))
#s(approx (* (sqrt x) 3/8) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3/8 binary64)))
#s(approx (* -1/4 (sqrt x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
#s(approx (* -1/2 (sqrt x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))

eval128.0ms (3.8%)

Memory
7.2MiB live, 141.5MiB allocated; 29ms collecting garbage
Compiler

Compiled 33 863 to 3 031 computations (91% saved)

prune53.0ms (1.6%)

Memory
6.5MiB live, 62.5MiB allocated; 22ms collecting garbage
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New51611527
Fresh448
Picked415
Done134
Total52519544
Accuracy
100.0%
Counts
544 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
42.9%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
43.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
43.7%
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
99.0%
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.8%
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.8%
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
43.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
86.4%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 #s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
85.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
98.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
48.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
85.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
5.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
98.1%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
98.9%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
98.0%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
3.3%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 2 303 to 727 computations (68.4% saved)

regimes25.0ms (0.7%)

Memory
-0.4MiB live, 47.8MiB allocated; 5ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 #s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)))) x (*.f64 #s(literal -1/4 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)))))) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))))))
Outputs
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Calls

2 calls:

14.0ms
x
8.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.6%)

Memory
-1.5MiB live, 44.5MiB allocated; 4ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 #s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
Calls

2 calls:

12.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.6%)

Memory
-3.5MiB live, 42.6MiB allocated; 4ms collecting garbage
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (pow x -1/2) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 (fma.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) (sqrt.f64 x))) (*.f64 x x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 #s(approx (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) #s(approx (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal 3/8 binary64)) x (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 x x))))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (fma.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal -3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
Calls

2 calls:

12.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.9%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.9%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.5%)

Memory
-19.7MiB live, 29.5MiB allocated; 5ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 (fma.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
Calls

2 calls:

8.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
6.0ms
x
Results
AccuracySegmentsBranch
98.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)) x)))
Calls

2 calls:

6.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.1%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Memory
-25.0MiB live, 22.2MiB allocated; 2ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(approx (* (sqrt x) (sqrt (+ x 1))) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(approx (- (* 1 (sqrt (+ x 1))) (* (sqrt x) 1)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (* x x)) (/.f64 #s(approx (+ (* (/ 1 (sqrt x)) 1/2) (neg (/ (* (pow x -1/2) 3/8) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
Calls

2 calls:

6.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
98.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.0%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (/ (- (* x x) 1) (- x 1))))) (/.f64 #s(approx (- (* (* (pow x -3/2) 1/2) (+ (* 1/4 x) 1)) (* 1/2 (- (pow x -1/2) (sqrt x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (- (* (* (sqrt (pow x -5)) -1/2) (+ (* 1/2 x) 1)) (+ (* -1/2 (sqrt x)) (+ (* (* (+ (* 1/4 x) 1) (sqrt (pow x -3))) -1/2) (* 1/2 (pow (sqrt x) -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
85.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
85.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) #s(approx (/ (+ (* (- (* 1/2 x) 1) x) (sqrt x)) x) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (fma.f64 #s(literal -1 binary64) x (sqrt.f64 x)) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(approx (+ (* (- (* 1/2 x) 1) x) (sqrt x)) (sqrt.f64 x)) x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
5.5%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
5.5%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
3.3%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.3%1x
Compiler

Compiled 12 to 9 computations (25% saved)

derivations127.0ms (3.8%)

Memory
5.3MiB live, 147.7MiB allocated; 30ms collecting garbage
Stop Event
fuel
Compiler

Compiled 423 to 109 computations (74.2% saved)

preprocess78.0ms (2.3%)

Memory
11.1MiB live, 134.5MiB allocated; 40ms collecting garbage
Compiler

Compiled 916 to 266 computations (71% saved)

end0.0ms (0%)

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

Profiling

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