2sqrt (example 3.1)

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
0%0%25%75%0%0%0%1
50%12.5%12.5%75%0%0%0%2
75%18.7%6.2%75%0%0%0%3
87.5%21.9%3.1%75%0%0%0%4
93.8%23.4%1.6%75%0%0%0%5
96.9%24.2%0.8%75%0%0%0%6
98.4%24.6%0.4%75%0%0%0%7
99.2%24.8%0.2%75%0%0%0%8
99.6%24.9%0.1%75%0%0%0%9
99.8%24.9%0%75%0%0%0%10
99.9%25%0%75%0%0%0%11
100%25%0%75%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (38.2%)

Memory
28.5MiB live, 967.1MiB allocated; 213ms collecting garbage
Samples
813.0ms8 128×1valid
4.0ms127×0valid
0.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 643.0ms
ival-sqrt: 367.0ms (57% of total)
adjust: 152.0ms (23.6% of total)
ival-add!: 89.0ms (13.8% of total)
ival-sub!: 35.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)
Bogosity

preprocess103.0ms (3.5%)

Memory
-16.1MiB live, 38.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01226
12226
22826
35626
425324
5241124
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.3%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series4.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
6 → 28
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
Calls

3 calls:

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

rewrite192.0ms (6.5%)

Memory
48.8MiB live, 181.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130730
0135665
1699605
06498577
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
34 → 95
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
Outputs
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt 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 (-.f64 #s(literal 1 binary64) (sqrt.f64 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 (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 (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) x))
#s(approx (sqrt (+ x 1)) (/.f64 x (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) x))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (neg.f64 x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))))))
#s(approx (sqrt (+ x 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))))

eval24.0ms (0.8%)

Memory
-31.4MiB live, 23.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 579 to 358 computations (77.3% saved)

prune5.0ms (0.2%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New85590
Fresh000
Picked101
Done000
Total86591
Accuracy
99.6%
Counts
91 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.0%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶6.3%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶62.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
▶98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
Compiler

Compiled 136 to 100 computations (26.5% saved)

series12.0ms (0.4%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
24 → 68
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 x) x)
#s(literal 1/8 binary64)
(*.f64 x x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* 1/8 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* 1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x x))
3.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x x))
3.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) 1/8 (* x x))

rewrite189.0ms (6.4%)

Memory
-8.1MiB live, 188.1MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02801915
03131804
114551641
086061591
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
92 → 221
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 x) x)
#s(literal 1/8 binary64)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x 1)) #s(hole binary64 1))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* 1/8 (* x (sqrt x)))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* x (- (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* 1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (sqrt (+ x 1)) #s(hole binary64 (* -1 (* x (- (+ (sqrt (/ 1 x)) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (sqrt (/ 1 x))) (/ 1/2 (* (pow x 2) (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 4) (pow (sqrt (/ 1 x)) 3))))))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) #s(hole binary64 (* -1 (* x (- (+ (* 2 (sqrt (/ 1 x))) (+ (/ 1/2 (* (pow x 2) (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))))))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (* (sqrt x) x) 1/8) #s(hole binary64 (* -1/8 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
x
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x)) (neg.f64 (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))) (/.f64 (*.f64 (sqrt.f64 x) x) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (+.f64 x (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))) (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))) (*.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (fma.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) x)) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))) (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))))
(-.f64 (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (*.f64 x (+.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 x x)) (+.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 x #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x (+.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (-.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (neg.f64 (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 x (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))) (/.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) x) x) (/.f64 (sqrt.f64 x) x))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 x)) (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (*.f64 x #s(literal 1/8 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 x) x) x) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) x) x))
(*.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 x #s(literal 1/8 binary64)) x))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) x) x)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x))) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (*.f64 x #s(literal 1/8 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x 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 (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 x (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x)) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))
#s(approx (* (* (sqrt x) x) 1/8) (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/2 binary64)))
#s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (sqrt (+ x 1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 2 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
#s(approx (* (* (sqrt x) x) 1/8) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (sqrt x) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (* 1/2 (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64)))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (sqrt (+ x 1)) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1/16 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (* (* (sqrt x) x) 1/8) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))))

eval32.0ms (1.1%)

Memory
-5.3MiB live, 40.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 348 to 1 109 computations (84.9% saved)

prune13.0ms (0.4%)

Memory
-21.8MiB live, 25.0MiB allocated; 1ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2666272
Fresh000
Picked145
Done000
Total26710277
Accuracy
100.0%
Counts
277 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓8.0%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓6.3%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶18.8%
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
62.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))))
▶98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
✓98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
▶98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶45.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))
▶98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
Compiler

Compiled 475 to 255 computations (46.3% saved)

series12.0ms (0.4%)

Memory
23.6MiB live, 23.6MiB allocated; 0ms collecting garbage
Counts
30 → 66
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/8 binary64)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) x)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(*.f64 x x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4))))) x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 4))) (/ 1 (pow (sqrt (/ 1 x)) 3))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x)))) x))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* x (sqrt (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1/2 x) (sqrt x)) (/ 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* x x)) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) -1/8 (* x x))
3.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1/2 x) (sqrt x)) (/ 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* x x)) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) -1/8 (* x x))
3.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (sqrt x)) 1/2 (sqrt x) x (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) (/ (sqrt x) x) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1 (+ (sqrt x) 1)) 1 (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (/ 1 (sqrt x)) 1/2) (/ 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (* (/ 1/2 x) (sqrt x)) (/ 1/2 x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* x x)) (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (* (sqrt x) x) (* -1/8 (sqrt x)) -1/8 (* x x))

rewrite160.0ms (5.4%)

Memory
-1.3MiB live, 142.8MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02931943
03311836
114941646
088161609
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
96 → 293
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
#s(literal 1/2 binary64)
(sqrt.f64 x)
x
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/8 binary64)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) x)
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
(*.f64 x x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (* 1/2 (sqrt x)) #s(hole binary64 (* 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (* (/ 1 (sqrt x)) 1/2) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/8 (sqrt x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* x (sqrt x))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ (- (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 3) (pow (sqrt (/ 1 x)) 4))))) x)))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (/ 1 x)))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* 1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x)))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* (pow x 2) (sqrt (/ 1 x)))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* -1/8 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (* x (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (* -1 (sqrt (/ 1 x)))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (/ 1 (* x (pow (sqrt (/ 1 x)) 2)))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (/ 1 (sqrt (/ 1 x))) (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 2))) (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ 1 (+ (sqrt x) 1)) #s(hole binary64 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow (sqrt (/ 1 x)) 4))) (/ 1 (pow (sqrt (/ 1 x)) 3))) x)) (/ 1 (pow (sqrt (/ 1 x)) 2))) x)) (/ 1 (sqrt (/ 1 x)))) x))))
#s(approx (+ (sqrt x) 1) #s(hole binary64 (* -1 (* x (- (sqrt (/ 1 x)) (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* -1/2 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x))))))
#s(approx (* (sqrt x) x) #s(hole binary64 (* -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (* -1/8 (sqrt x)) #s(hole binary64 (* 1/8 (* x (sqrt (/ 1 x))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x) (/.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) (*.f64 (neg.f64 x) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x) (*.f64 x #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x)
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))) (/.f64 (*.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))))) (/.f64 (pow.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
x
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(/.f64 (sqrt.f64 x) x)
#s(literal 1/8 binary64)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64))) (neg.f64 (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 #s(literal 1 binary64) (-.f64 x (*.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(+.f64 (sqrt.f64 x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 x x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x) x)
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (sqrt.f64 x) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 x)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 (sqrt.f64 x) x) x) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 x) x) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) x))
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 x x)))
(-.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
(+.f64 (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 x) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 x) x))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
(-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))) (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 x) x)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -3 binary64)))
(*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x x))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) (*.f64 x x)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))) x))
#s(approx (* 1/2 (sqrt x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (/.f64 x (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 x (-.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x)) (fma.f64 (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (+ (sqrt x) 1) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (* (/ 1 (sqrt x)) 1/2) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))))
#s(approx (* (sqrt x) x) (*.f64 (sqrt.f64 x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/8 binary64)))
#s(approx (/ (sqrt x) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x) #s(literal 1 binary64))) x))
#s(approx (+ (sqrt x) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x #s(literal 1 binary64)))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (* (sqrt x) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x)))
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/2 binary64)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (neg.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/8 binary64)))
#s(approx (/ (sqrt x) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (+ (sqrt x) 1)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)) (sqrt.f64 x)) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x) (*.f64 (sqrt.f64 x) x)) x)) x) x)) (sqrt.f64 x)) x)))
#s(approx (+ (sqrt x) 1) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (+ (* (* (sqrt x) x) 1/2) (* -1/8 (sqrt x))) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64))) (*.f64 x x)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x x))))
#s(approx (* -1/8 (sqrt x)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal 1/8 binary64)))

eval36.0ms (1.2%)

Memory
-1.5MiB live, 44.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 13 538 to 1 697 computations (87.5% saved)

prune11.0ms (0.4%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New3444348
Fresh101
Picked325
Done044
Total34810358
Accuracy
100.0%
Counts
358 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓8.0%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓6.3%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
✓98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
✓98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
✓98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶98.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
▶98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
▶98.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
Compiler

Compiled 194 to 139 computations (28.4% saved)

series13.0ms (0.4%)

Memory
-29.0MiB live, 17.4MiB allocated; 4ms collecting garbage
Counts
21 → 38
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/ (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (/ 1 (sqrt x))) (/ 1/2 x))
3.0ms
x
@-inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/ (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (/ 1 (sqrt x))) (/ 1/2 x))
2.0ms
x
@inf
((- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x) 1 x 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/ 1/2 (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/ (/ 1 (sqrt x)) x) (/ 1 (sqrt x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (/ 1/2 x) (/ 1 (sqrt x))) (/ 1/2 x))

rewrite195.0ms (6.6%)

Memory
34.0MiB live, 174.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01731044
0194982
1810841
06806814
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
59 → 265
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(sqrt.f64 x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- 1 (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* 1/2 x)) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (/ (sqrt x) x)))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 2)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (* x (sqrt x)))) (pow x 2))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ -1/8 (* x (sqrt x)))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (/ x (sqrt x))) (* 1/8 (/ 1 (sqrt x)))) x)))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (* x (sqrt x)))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x)))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* 1/2 (sqrt (/ 1 x)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (* 1/2 (sqrt (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x)))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(hole binary64 (* -1 (/ (- (+ (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/16 (/ 1 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))))) (+ (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))) (* 5/128 (/ 1 (* (pow x 6) (pow (sqrt (/ 1 x)) 7)))))) x))))
#s(approx (/ (* 1/2 (sqrt x)) x) #s(hole binary64 (* -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (+ (* -1/2 (sqrt (/ 1 x))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* x (sqrt (/ 1 x)))))) x))))
#s(approx (/ (/ 1 (sqrt x)) x) #s(hole binary64 (/ -1 (* (pow x 2) (sqrt (/ 1 x))))))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
x
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) (+.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 x) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) x))) (neg.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal 1/4 binary64) x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) x) (-.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 x) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (sqrt.f64 x) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (sqrt.f64 x) x) (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))) #s(literal -1/8 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(+.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) x) (*.f64 x x)))))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x) #s(literal -1/2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (fabs.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal -3/2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 x x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x))
(/.f64 (sqrt.f64 x) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (sqrt.f64 x))))
(neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x)))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 x x)))
(neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 x (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x)
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (neg.f64 x)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt 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 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1/8 binary64))) (*.f64 x x)))
#s(approx (/ 1/2 (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) x))
#s(approx (/ (/ 1 (sqrt x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) x))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
#s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (/ (/ 1 (sqrt x)) x) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (/ 1 (sqrt x)) (/.f64 (sqrt.f64 x) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 5/128 binary64) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 7 binary64) (*.f64 (log.f64 x) #s(literal 6 binary64))))))) (neg.f64 x)))
#s(approx (/ (* 1/2 (sqrt x)) x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (sqrt x) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))) x))
#s(approx (/ (/ 1 (sqrt x)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (/ 1 (sqrt x)) (neg.f64 (/.f64 (sqrt.f64 x) x)))

eval52.0ms (1.8%)

Memory
-33.7MiB live, 66.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 9 155 to 1 147 computations (87.5% saved)

prune11.0ms (0.4%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New2703273
Fresh000
Picked134
Done156
Total27211283
Accuracy
100.0%
Counts
283 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓8.0%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓6.3%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓1.6%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓97.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
✓98.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
✓98.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
✓98.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
98.8%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))))
98.7%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
98.6%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) x))))
✓98.3%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
Compiler

Compiled 798 to 298 computations (62.7% saved)

regimes28.0ms (0.9%)

Memory
-21.2MiB live, 23.4MiB allocated; 3ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x)))))
Calls

2 calls:

23.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.8%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes6.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(approx (+ (* (/ (/ 1 (sqrt x)) x) -1/8) (/ 1/2 (sqrt x))) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/8 binary64)) (sqrt.f64 x)) x))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes33.0ms (1.1%)

Memory
-24.0MiB live, 16.3MiB allocated; 14ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (* 1/2 (sqrt x)) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.3%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.3%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
98.2%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.2%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes2.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
1.6%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.6%1x
Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations645.0ms (21.8%)

Memory
-75.9MiB live, 343.0MiB allocated; 701ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 147 to 48 computations (67.3% saved)

preprocess45.0ms (1.5%)

Memory
-3.2MiB live, 87.2MiB allocated; 11ms collecting garbage
Compiler

Compiled 168 to 66 computations (60.7% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...