Numeric.Log:$clog1p from log-domain-0.10.2.1, B

Time bar (total: 1.9s)

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
83.3%62.5%12.5%0%0%25%0%4
91.7%68.7%6.2%0%0%25%0%5
95.8%71.8%3.1%0%0%25%0%6
97.9%73.4%1.6%0%0%25%0%7
99%74.2%0.8%0%0%25%0%8
99.5%74.6%0.4%0%0%25%0%9
99.7%74.8%0.2%0%0%25%0%10
99.9%74.9%0.1%0%0%25%0%11
99.9%74.9%0%0%0%25%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample864.0ms (44.6%)

Memory
-21.6MiB live, 1 115.5MiB allocated; 262ms collecting garbage
Samples
550.0ms8 251×0valid
1.0ms2valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-add!: 158.0ms (55.8% of total)
ival-sqrt: 64.0ms (22.6% of total)
ival-div!: 59.0ms (20.8% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain87.0ms (4.5%)

Memory
14.7MiB live, 161.9MiB allocated; 36ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 x (+.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
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms510×0valid
0.0ms2valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sqrt: 4.0ms (40% of total)
ival-add!: 3.0ms (30% of total)
ival-div!: 3.0ms (30% of total)
adjust: 0.0ms (0% of total)

preprocess62.0ms (3.2%)

Memory
-17.9MiB live, 27.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01229
12427
23427
36027
413827
559724
6553424
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Compiler

Compiled 16 to 12 computations (25% saved)

series6.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
6 → 41
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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
3.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
2.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))
1.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1))

rewrite75.0ms (3.9%)

Memory
26.2MiB live, 80.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0210968
0215773
01342741
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
47 → 57
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
#s(literal 1 binary64)
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#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 (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.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 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (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 -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))

eval22.0ms (1.1%)

Memory
-35.9MiB live, 12.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 042 to 281 computations (73% saved)

prune7.0ms (0.4%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New481260
Fresh000
Picked011
Done000
Total481361
Accuracy
100.0%
Counts
61 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
89.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.4%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
36.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
68.6%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
69.7%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
31.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
68.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
69.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
69.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 400 to 270 computations (32.5% saved)

series8.0ms (0.4%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Counts
24 → 70
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (pow x -1) 1) #s(hole binary64 1))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
2.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))
1.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (+ (pow x -1) 1) (pow x -1) -1 (/ x (+ 1 (sqrt (+ x 1)))) (* 1/2 x) 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* -1/8 x) 1/2) x) (+ (* -1/8 x) 1/2) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* 1/2 x) 2) 2 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (+ (* (+ (* -1/8 x) 1/2) x) 2))

rewrite77.0ms (4%)

Memory
-22.2MiB live, 69.4MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751462
02921243
015731216
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
94 → 148
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (pow x -1) #s(hole binary64 (/ 1 x)))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 2))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 2))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (pow x -1) 1) #s(hole binary64 1))
#s(approx (+ (pow x -1) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* (+ (* -1/8 x) 1/2) x) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1/8 x)))
#s(approx (+ (* -1/8 x) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* 1/2 x) 2) #s(hole binary64 (* x (+ 1/2 (* 2 (/ 1 x))))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 2 (pow x 2))) 1/8))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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 (+ (* -1/8 x) 1/2) #s(hole binary64 (* -1 (* x (- 1/8 (* 1/2 (/ 1 x)))))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))))
(+.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(pow.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal -1 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal -1/8 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
(fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) x))
(+.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
#s(literal -1/8 binary64)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
(/.f64 (neg.f64 x) (neg.f64 #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (pow x -1) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (pow x -1) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (pow x -1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* -1/8 x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* -1/8 x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* 1/2 x) 2) #s(literal 2 binary64))
#s(approx (+ (* 1/2 x) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) #s(literal 2 binary64))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (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 -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (+ (pow x -1) 1) x) x)
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (pow x -1) 1) #s(literal 1 binary64))
#s(approx (+ (pow x -1) 1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
#s(approx (* (+ (* -1/8 x) 1/2) x) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (+ (* -1/8 x) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* 1/2 x) 2) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* -1/8 x) 1/2) x) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (neg.f64 (/.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x)))
#s(approx (+ (* -1/8 x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))

eval49.0ms (2.5%)

Memory
-1.5MiB live, 49.0MiB allocated; 44ms collecting garbage
Compiler

Compiled 3 663 to 697 computations (81% saved)

prune10.0ms (0.5%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New1803183
Fresh167
Picked145
Done011
Total18214196
Accuracy
100.0%
Counts
196 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.1%
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
89.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.4%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
36.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
68.6%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
69.7%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
31.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
68.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
69.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
69.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 394 to 260 computations (34% saved)

series15.0ms (0.8%)

Memory
-20.1MiB live, 25.3MiB allocated; 7ms collecting garbage
Counts
29 → 119
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))
(sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))
#s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))
#s(approx (* (+ (pow x -1) 1) x) x)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (* (+ (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#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 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))))
3.0ms
x
@inf
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))))
2.0ms
x
@0
((/ x (+ 1 (sqrt (+ x 1)))) x (+ 1 (sqrt (+ x 1))) 1 (sqrt (+ x 1)) (+ x 1) (* (+ (/ 1 x) 1) x) (+ (/ 1 x) 1) (/ 1 x) (/ x (+ 1 (sqrt (+ x 1)))) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (+ (* x 1/2) (* (* -1/8 x) x)) 1/2 (* (* -1/8 x) x) (* -1/8 x) -1/8 (/ x (+ 1 (sqrt (+ x 1)))) (+ 1 (sqrt (+ x 1))) (sqrt (+ x 1)) (+ x 1) (* (+ (pow x -1) 1) x) (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (+ 1 x) (- 1 (sqrt (+ 1 x))))

rewrite84.0ms (4.4%)

Memory
32.1MiB live, 125.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04213004
04502206
023332132
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
148 → 223
Calls
Call 1
Inputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
x
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))
#s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(literal 1/2 binary64)
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) x)
#s(literal -1/8 binary64)
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))))
(sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))
#s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x))
#s(approx (* (+ (pow x -1) 1) x) x)
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 2))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (+ 2 (* 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 (* (+ (/ 1 x) 1) x) #s(hole binary64 1))
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ 1 x)))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (/ (+ 1 x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* 1/2 x)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (* -1/8 x) x) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (* -1/8 x) #s(hole binary64 (* -1/8 x)))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 1))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (+ 1 x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 2))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) #s(hole binary64 (* -1 x)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 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 x)))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))))))
#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)))) (/ 1 x)))))))
#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 x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ 1 x) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 1))
#s(approx (+ (/ 1 x) 1) #s(hole binary64 (+ 1 (/ 1 x))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* -1/8 (pow x 2))))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) #s(hole binary64 (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/8))))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 x))
#s(approx (* (+ (pow x -1) 1) x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ 1 (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (+ 1 (+ (sqrt x) (* -1 (/ (+ (* 1/2 (pow x 2)) (* (sqrt x) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (pow x 3))))) (+ (* -1 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) 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 (- (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (+ 1 (sqrt (+ x 1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (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) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (- (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (/ (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow x 2) (pow (sqrt -1) 4))) (* (sqrt x) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x)) (* -1 (/ x (pow (sqrt -1) 2)))) x)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64)))
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))))
(+.f64 (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))))
#s(literal 1 binary64)
(pow.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 x #s(literal -1 binary64)) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(fma.f64 x (*.f64 #s(literal -1/8 binary64) x) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x))
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(literal 1/2 binary64)
(*.f64 (*.f64 x x) #s(literal -1/8 binary64))
(*.f64 (*.f64 #s(literal -1/8 binary64) x) x)
(*.f64 #s(literal -1/8 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal -1/8 binary64) x))
(*.f64 #s(literal -1/8 binary64) x)
(*.f64 x #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))))))
(+.f64 (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))))
(pow.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x)))
#s(approx (+ 1 x) #s(approx (* (+ (pow x -1) 1) x) x))
#s(approx (* (+ (pow x -1) 1) x) x)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.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)))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.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)))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx x x)
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (+ (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ 1 x) 1) (pow.f64 x #s(literal -1 binary64)))
#s(approx (+ (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (* -1/8 x) x) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(approx (* -1/8 x) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (* (+ (pow x -1) 1) x) #s(literal 1 binary64))
#s(approx (* (+ (pow x -1) 1) x) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ 1 (sqrt (+ x 1))) #s(literal 2 binary64))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (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 2 binary64)))
#s(approx (- 1 (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (neg.f64 x))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (sqrt (+ x 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))))))))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (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 -3 binary64))) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* (+ (pow x -1) 1) x) x)
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ (/ 1 x) 1) #s(literal 1 binary64))
#s(approx (+ (/ 1 x) 1) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x))
#s(approx (+ (* x 1/2) (* (* -1/8 x) x)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (*.f64 x x)))
#s(approx (* (+ (pow x -1) 1) x) x)
#s(approx (* (+ (pow x -1) 1) x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (+ 1 (sqrt (+ x 1))) (sqrt.f64 x))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x)))))
#s(approx (+ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ x 1)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 x) x)
#s(approx (+ 1 x) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (pow.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) (sqrt.f64 x)))) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (sqrt.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (-.f64 (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) x) #s(literal -1 binary64) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (+ 1 (sqrt (+ x 1))) (neg.f64 (sqrt.f64 x)))
#s(approx (+ 1 (sqrt (+ x 1))) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 x))) x)) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (neg.f64 (neg.f64 (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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#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) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))

eval25.0ms (1.3%)

Memory
-4.9MiB live, 49.5MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 435 to 815 computations (81.6% saved)

prune11.0ms (0.6%)

Memory
-24.7MiB live, 22.6MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New2081209
Fresh044
Picked235
Done055
Total21013223
Accuracy
100.0%
Counts
223 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.9%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
36.5%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
68.6%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
69.7%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
33.8%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
31.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
68.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
69.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
69.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 304 to 203 computations (33.2% saved)

series24.0ms (1.2%)

Memory
2.8MiB live, 49.6MiB allocated; 2ms collecting garbage
Counts
35 → 208
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
x
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 2))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (- 1 (+ 1 x))) #s(hole binary64 -1))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))
8.0ms
x
@inf
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))
2.0ms
x
@0
((/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (+ 1 (pow (sqrt (+ 1 x)) 3)) 1 (pow (sqrt (+ 1 x)) 3) (sqrt (+ 1 x)) (+ 1 x) 3 (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))) (/ x (+ 1 (sqrt (+ x 1)))) (- (sqrt x) 1) (sqrt x) (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (+ (* (- (* 1/16 x) 1/8) x) 1/2) (- (* 1/16 x) 1/8) (* 1/16 x) 1/16 1/8 1/2 (/ x (+ 1 (sqrt (+ x 1)))) (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (- (* (+ (* -5/128 x) 1/16) x) 1/8) (* (+ (* -5/128 x) 1/16) x) (+ (* -5/128 x) 1/16) -5/128 (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (/ x (- 1 (+ 1 x))) (- 1 (+ 1 x)) (- 1 (sqrt (+ 1 x))))

rewrite175.0ms (9.1%)

Memory
16.8MiB live, 157.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08156660
08654967
046224825
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
243 → 362
Calls
Call 1
Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
x
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 x) #s(literal 1 binary64))
(sqrt.f64 x)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/16 binary64) x)
#s(literal 1/16 binary64)
#s(literal 1/8 binary64)
#s(literal 1/2 binary64)
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -5/128 binary64)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 2))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* 1/2 x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (+ 2 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 2))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* 3/2 x))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (+ 2 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 1))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* 3/2 x))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* 3/8 x))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (+ 1 (* x (+ 3/2 (* x (+ 3/8 (* -1/16 x))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 1))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ 1 x) #s(hole binary64 1))
#s(approx (+ 1 x) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 1))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* 1/8 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* 1/8 x)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* -1/16 x)))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (+ 1/8 (* x (- (* 5/128 x) 1/16))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (+ 1 x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 1))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* 1/2 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (* 1/16 x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/2 x)))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* -1/8 x))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* 1/16 x) 1/8)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 -1/8))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* 1/16 x) 1/8)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (- (* x (+ 1/16 (* -5/128 x))) 1/8)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* 1/16 x)))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* x (+ 1/16 (* -5/128 x)))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 1/16))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (+ 1/16 (* -5/128 x))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* 1/2 x)))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* -1/8 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))))))
#s(approx (/ x (- 1 (+ 1 x))) #s(hole binary64 -1))
#s(approx (- 1 (+ 1 x)) #s(hole binary64 (* -1 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1/2 x)))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* 1/8 x) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (* x (+ 1/8 (* x (- (* 5/128 x) 1/16)))) 1/2))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (- 1 (sqrt (/ 1 x))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/2 x) (* x (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))))) (pow x 2))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (- (+ (* -1 (/ (+ (* 3/2 (* (sqrt (pow x 3)) (- 1 (sqrt (/ 1 x))))) (* 2 (* x (+ 1 (* 3/2 (sqrt x)))))) (pow x 3))) (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (- 1 (sqrt (/ 1 x)))))) (+ (* 1/2 (/ 1 x)) (/ (* (+ 1 (* 3/2 (sqrt x))) (- 1 (sqrt (/ 1 x)))) x)))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (+ (* -2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* x (- (+ (* 3/2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* 3/2 (* (sqrt (/ 1 (pow x 5))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (+ (* (sqrt (/ 1 x)) (/ 1 (- 1 (sqrt (/ 1 x))))) (+ (/ 1 (* (pow x 2) (- 1 (sqrt (/ 1 x))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- 1 (sqrt (/ 1 x))) 2)))))))) (+ (* -4 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3)))) (+ (* 2 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2)))) (+ (* 2 (/ (- (+ (* 1/2 (/ 1 (pow (- 1 (sqrt (/ 1 x))) 2))) (+ (* 3/2 (* (sqrt x) (/ 1 (- 1 (sqrt (/ 1 x)))))) (/ 1 (- 1 (sqrt (/ 1 x)))))) (* -4 (* (sqrt (/ 1 x)) (/ 1 (pow (- 1 (sqrt (/ 1 x))) 3))))) (* (pow x 3) (- 1 (sqrt (/ 1 x)))))) (/ 1 (* (pow x 3) (pow (- 1 (sqrt (/ 1 x))) 3))))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (/ 1 (pow x 2)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (* 3/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5)))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (sqrt (/ 1 x)) (+ (* 1/2 (* (sqrt (/ 1 (pow x 7))) (- 1 (* 9/4 x)))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* 3/2 (sqrt (/ 1 (pow x 5))))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (+ 1 x) #s(hole binary64 x))
#s(approx (+ 1 x) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (* 2 (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (/ 1 x)))) (sqrt (/ 1 x))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (* 2 (/ 1 x)))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- 1 (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x))) (sqrt (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ 1 (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x))) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (sqrt x)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (sqrt x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (sqrt x) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* -1 (/ (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))) (pow x 2)))) 1)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (- (+ (sqrt x) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (sqrt (/ 1 x))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (pow x 3))) (* 1/2 (sqrt (pow x 3)))))) (* 1/2 (sqrt (/ 1 x)))))))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* 1/16 (pow x 3))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 3) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* 1/16 (pow x 2))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (- (+ 1/16 (/ 1/2 (pow x 2))) (* 1/8 (/ 1 x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* 1/16 x)))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* x (- 1/16 (* 1/8 (/ 1 x))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* -5/128 (pow x 4))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -5/128 (pow x 3))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 3) (- (+ (* 1/16 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) (+ 5/128 (/ 1/8 (pow x 2)))))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* -5/128 (pow x 2))))
#s(approx (* (+ (* -5/128 x) 1/16) x) #s(hole binary64 (* (pow x 2) (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -5/128 x)))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* x (- (* 1/16 (/ 1 x)) 5/128))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (sqrt x)))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3))))) (/ 1 x)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (/ 1 x) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (/ 1 x)) (sqrt (/ 1 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (- (+ (* 1/8 (sqrt (/ 1 (pow x 5)))) (/ 1 x)) (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* 2 (sqrt (/ 1 x))) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ x (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))))) #s(hole binary64 (+ (* -1 (/ (+ (* -2 (sqrt x)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x (+ 1 (* 3/2 (sqrt x)))) (pow (sqrt -1) 2))) (* 3/2 (* (sqrt (pow x 3)) (/ (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) x)) (+ (* -1/2 (/ x (pow (sqrt -1) 2))) (/ (* x (* (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) x))) x)) (* (sqrt x) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* (sqrt x) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* 2 (* (sqrt (/ 1 (pow x 3))) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (+ (* 3/2 (* (sqrt x) (/ 1 (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))) (* -2 (/ (- (+ (* -1 (/ (+ 1 (* 3/2 (sqrt x))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2)))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) x)) (* 1/2 (/ 1 (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) (* 4 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 3))))) x)) (* 2 (* (sqrt (/ 1 x)) (/ (pow (sqrt -1) 2) (pow (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) 2))))) x)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2)))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 (pow x 2))))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (+ (* 3/2 (sqrt (/ 1 (pow x 5)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -3/2 (sqrt x)) (* -1/2 (* (sqrt (/ 1 x)) (- 1 (* -9/4 (/ x (pow (sqrt -1) 2))))))) (pow x 3))) (+ (* 3/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ 1 x)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (* 2 (/ 1 x)))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 2 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* x (+ 1 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (+ 1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (* 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (* -1 (sqrt x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (/ 1 (pow (sqrt -1) 2)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt x) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt x) (/ 1 (pow (sqrt -1) 2))))) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) #s(hole binary64 (+ (* -1 (sqrt x)) (* -1 (/ (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ x (pow (sqrt -1) 4)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2))))) x))) x)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- (sqrt x) 1) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(hole binary64 (* (pow x 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))))))
#s(approx (- (* 1/16 x) 1/8) #s(hole binary64 (* -1 (* x (- (* 1/8 (/ 1 x)) 1/16)))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/8) x)) 1/16) x)) 5/128))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (- 1/16 (* 1/8 (/ 1 x))) x)))))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(hole binary64 (* -1 (* (pow x 3) (+ 5/128 (* -1 (/ (+ 1/16 (* -1 (/ (- 1/8 (* 1/2 (/ 1 x))) x))) x)))))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(hole binary64 (* (pow x 2) (- (* -1 (/ (- (* 1/8 (/ 1 x)) 1/16) x)) 5/128))))
#s(approx (+ (* -5/128 x) 1/16) #s(hole binary64 (* -1 (* x (- 5/128 (* 1/16 (/ 1 x)))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1/2 (sqrt (/ 1 x))) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) 1) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* (sqrt x) (pow (sqrt -1) 2))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* 1/2 (sqrt (/ 1 x)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (- 1 (sqrt (+ 1 x))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1 (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
Outputs
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.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)))))
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 3 binary64)
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#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) #s(literal 2 binary64))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 #s(literal 3/2 binary64) x #s(literal 2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 2 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) #s(literal 1 binary64))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 #s(literal 3/2 binary64) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) #s(literal 1 binary64))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (fma.f64 (fma.f64 (fma.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 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (+.f64 #s(literal 1 binary64) x))
#s(approx (* 1 (sqrt (+ 1 x))) #s(literal 1 binary64))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (* 1 (sqrt (+ 1 x))) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt x) 1) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (* 1/16 x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* 1/16 x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (* 1/16 x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (* (+ (* -5/128 x) 1/16) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* -5/128 x) 1/16) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64))
#s(approx (- 1 (+ 1 x)) (neg.f64 x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64)) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 x) #s(literal 3/2 binary64) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x)))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))))) x))
#s(approx (/ (+ 1 (pow (sqrt (+ 1 x)) 3)) (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))))) (*.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x) #s(literal 2 binary64)))))) (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 3/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))))))) x))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (+ 1 (pow (sqrt (+ 1 x)) 3)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (fma.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (pow (sqrt (+ 1 x)) 3) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9/4 binary64) x)) (*.f64 #s(literal 3/2 binary64) (+.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (* 1 (sqrt (+ 1 x))) (sqrt.f64 x))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) x)
#s(approx (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (-.f64 (+.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 2 binary64) 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) (sqrt.f64 x)))) x))
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#s(approx (pow (sqrt (+ 1 x)) 3) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
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#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (+ 1 (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) x))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (- (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (* 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)))))
#s(approx (* 1 (sqrt (+ 1 x))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (* 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (neg.f64 (sqrt.f64 x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) #s(literal -1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x)) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) x) #s(literal -1 binary64) (/.f64 x #s(literal 1 binary64))) x) #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (- (sqrt x) 1) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (- (* 1/16 x) 1/8) x) 1/2) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* 1/16 x) 1/8) x) 1/2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) (*.f64 x x)))
#s(approx (- (* 1/16 x) 1/8) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) x) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) x)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* (- (* (+ (* -5/128 x) 1/16) x) 1/8) x) 1/2) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1/16 binary64)) x) #s(literal -1 binary64) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (* (+ (* -5/128 x) 1/16) x) 1/8) (*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64)) (*.f64 x x)))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 (neg.f64 x) (-.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/16 binary64) x))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (/ x (- 1 (+ 1 x))) (- 1 (sqrt (+ 1 x)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) (neg.f64 (sqrt.f64 x)))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (- 1 (sqrt (+ 1 x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) #s(literal -1 binary64) #s(literal 1 binary64)) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))

eval88.0ms (4.6%)

Memory
13.4MiB live, 105.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 16 250 to 2 157 computations (86.7% saved)

prune21.0ms (1.1%)

Memory
-5.6MiB live, 45.6MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (3 fresh and 11 done)

PrunedKeptTotal
New5033506
Fresh000
Picked145
Done178
Total50514519
Accuracy
100.0%
Counts
519 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.0%
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
99.7%
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
68.6%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
69.7%
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
33.8%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
89.9%
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
37.5%
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
31.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
68.4%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
69.3%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
67.8%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
69.1%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
32.2%
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Compiler

Compiled 581 to 279 computations (52% saved)

regimes15.0ms (0.8%)

Memory
-17.7MiB live, 28.7MiB allocated; 4ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) #s(approx (pow (sqrt (+ 1 x)) 3) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 3/2 binary64)) x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))))
Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Calls

2 calls:

8.0ms
x
6.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.7%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes8.0ms (0.4%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

4.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms
x
Results
AccuracySegmentsBranch
99.2%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.2%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.5%)

Memory
-27.8MiB live, 18.6MiB allocated; 2ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (+ x 1) #s(approx (* (+ (pow x -1) 1) x) x)))))
Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 2 binary64))))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

5.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
3.0ms
x
Results
AccuracySegmentsBranch
99.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.3%)

Memory
15.5MiB live, 15.5MiB allocated; 0ms collecting garbage
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 #s(approx (/ x (- 1 (+ 1 x))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Results
AccuracySegmentsBranch
99.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes5.0ms (0.3%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
98.3%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.3%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.3%)

Memory
-35.0MiB live, 12.4MiB allocated; 1ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
Outputs
(/.f64 x #s(approx (+ 1 (sqrt (+ x 1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64))))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
98.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) x) x)))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
98.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0.2%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
98.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Calls

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
97.5%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.5%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Outputs
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (+ 1 (sqrt (+ x 1)))) (sqrt.f64 x))
Calls

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
97.0%2(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.0%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
69.1%1(/.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
69.1%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch17.0ms (0.9%)

Memory
-32.4MiB live, 21.5MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.5669157325067204e-5
0.029993806696134433
Samples
10.0ms128×0valid
Compiler

Compiled 315 to 250 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sqrt: 1.0ms (44.6% of total)
ival-add!: 1.0ms (44.6% of total)
ival-div!: 1.0ms (44.6% of total)
adjust: 0.0ms (0% of total)

bsearch7.0ms (0.4%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
5.5669157325067204e-5
0.029993806696134433
Samples
3.0ms80×0valid
Compiler

Compiled 267 to 218 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sqrt: 1.0ms (70.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch10.0ms (0.5%)

Memory
-29.9MiB live, 17.2MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
5.5669157325067204e-5
0.029993806696134433
Samples
5.0ms96×0valid
Compiler

Compiled 291 to 234 computations (19.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-div!: 2.0ms (68.1% of total)
ival-sqrt: 1.0ms (34% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch12.0ms (0.6%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.029993806696134433
38471.52165326778
Samples
5.0ms144×0valid
Compiler

Compiled 299 to 244 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sqrt: 1.0ms (39.9% of total)
ival-add!: 1.0ms (39.9% of total)
ival-div!: 1.0ms (39.9% of total)
adjust: 0.0ms (0% of total)

bsearch7.0ms (0.4%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
6.0ms
0.029993806696134433
38471.52165326778
Samples
3.0ms80×0valid
Compiler

Compiled 245 to 208 computations (15.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sqrt: 1.0ms (72.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.029993806696134433
38471.52165326778
Compiler

Compiled 281 to 226 computations (19.6% saved)

bsearch1.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.029993806696134433
38471.52165326778
Compiler

Compiled 263 to 217 computations (17.5% saved)

bsearch4.0ms (0.2%)

Memory
-41.8MiB live, 5.2MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
0.029993806696134433
38471.52165326778
Samples
2.0ms16×0valid
Compiler

Compiled 245 to 199 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-div!: 1.0ms (78.2% of total)
adjust: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.029993806696134433
38471.52165326778
Compiler

Compiled 218 to 181 computations (17% saved)

derivations46.0ms (2.4%)

Memory
28.9MiB live, 76.0MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 326 to 79 computations (75.8% saved)

preprocess54.0ms (2.8%)

Memory
-19.0MiB live, 121.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 668 to 170 computations (74.6% saved)

end0.0ms (0%)

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

Profiling

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