Main:bigenough3 from C

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
66.7%50%25%0%0%25%0%3
80%50%12.5%0%0%37.5%0%4
88.9%50%6.2%0%0%43.7%0%5
94.1%50%3.1%0%0%46.9%0%6
97%50%1.6%0%0%48.4%0%7
98.5%50%0.8%0%0%49.2%0%8
99.2%50%0.4%0%0%49.6%0%9
99.6%50%0.2%0%0%49.8%0%10
99.8%50%0.1%0%0%49.9%0%11
99.9%50%0%0%0%49.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (40.8%)

Memory
-29.7MiB live, 1 127.2MiB allocated; 380ms collecting garbage
Samples
698.0ms4 113×1valid
249.0ms4 143×0valid
0.0ms8×0invalid
Precisions
Click to see histograms. Total time spent on operations: 561.0ms
ival-sqrt: 348.0ms (62% of total)
ival-add!: 95.0ms (16.9% of total)
adjust: 91.0ms (16.2% of total)
ival-sub!: 27.0ms (4.8% of total)
Bogosity

preprocess136.0ms (4.5%)

Memory
4.6MiB live, 49.0MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01225
13423
26423
314523
440823
5244623
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.5%
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB 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))

rewrite229.0ms (7.6%)

Memory
34.7MiB live, 264.7MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0130730
0135665
1775602
07852573
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
34 → 112
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 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))))
(/.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))))
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.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)) (neg.f64 (sqrt.f64 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))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (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 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #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)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.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)))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.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 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (*.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) (neg.f64 (neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (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 x #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.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 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.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))) (/.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 (/.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 1/16 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 (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 (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))) (/.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)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.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))))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (-.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))) (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 x x))))) x))
#s(approx (sqrt (+ x 1)) (/.f64 (neg.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 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (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 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (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))) x))

eval18.0ms (0.6%)

Memory
-27.9MiB live, 26.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 908 to 411 computations (54.7% saved)

prune6.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1016107
Fresh000
Picked101
Done000
Total1026108
Accuracy
99.8%
Counts
108 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.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)) (neg.f64 (sqrt.f64 x)))
▶55.6%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶54.5%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶50.4%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶33.2%
#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))
▶51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
Compiler

Compiled 124 to 116 computations (6.5% saved)

series14.0ms (0.5%)

Memory
-24.7MiB live, 22.3MiB allocated; 3ms collecting garbage
Counts
24 → 68
Calls
Call 1
Inputs
(/.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 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 x)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.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)
#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)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 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))
(/.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 (/ (- (- 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 (- (- x -1) x) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (sqrt (+ 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 (/ (- (* 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (- 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 (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 (/ (* 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 (/ (- (* 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ (* 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 (/ (- (* 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
6.0ms
x
@-inf
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (- x -1) x -1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) (sqrt (- x -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (- (sqrt (- x -1)) (sqrt x)) (- (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
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (- x -1) x -1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) (sqrt (- x -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (- (sqrt (- x -1)) (sqrt x)) (- (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
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (- x -1) x -1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) (sqrt (- x -1)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) 1 (- (sqrt (+ x 1)) (sqrt x)) (/ (* 1/2 (sqrt x)) x) (* 1/2 (sqrt x)) 1/2 (- (sqrt (- x -1)) (sqrt x)) (- (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))

rewrite200.0ms (6.6%)

Memory
18.0MiB live, 196.4MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02811964
03181848
116211595
087221542
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
92 → 309
Calls
Call 1
Inputs
(/.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 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 x)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.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)
#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)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 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))
(/.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 (/ (- (- 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 (- (- x -1) x) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx x #s(hole binary64 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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (- x -1)) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (- (sqrt (+ 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 (/ (- (* 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (- 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 (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 (/ (* 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 (/ (- (* 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ (* 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 (/ (- (* 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
(*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (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 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x 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 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.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)))
(neg.f64 (-.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 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 #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 (neg.f64 x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 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 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))) (neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(neg.f64 (-.f64 x (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 x))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.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 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x (*.f64 (-.f64 x #s(literal -1 binary64)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (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 (-.f64 x #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 (-.f64 (*.f64 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x)))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx x x)
#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 (fma.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 (sqrt x) (sqrt.f64 x))
#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 (- (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 (fma.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 (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (*.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)))
#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 (sqrt.f64 x) x) #s(literal 1/8 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 (sqrt.f64 x) x) (/.f64 #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 x x) (*.f64 x x))))) (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #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 x x) (*.f64 x x))))) (fma.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #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 (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.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 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 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(approx (sqrt (- x -1)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (sqrt (- x -1)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 x) (/.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.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 (sqrt.f64 x) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64))) 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) (*.f64 x x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (*.f64 (/.f64 (sqrt.f64 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)) (neg.f64 (/.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)))
#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 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 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 (sqrt.f64 x) x) (/.f64 #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) (sqrt (- x -1))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.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 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 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) 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 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.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 (sqrt.f64 x) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) 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 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (*.f64 (/.f64 (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 #s(literal 1/2 binary64) x) (sqrt.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64))) 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) (*.f64 x x)) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) x) (*.f64 x x))))

eval43.0ms (1.4%)

Memory
11.7MiB live, 95.9MiB allocated; 15ms collecting garbage
Compiler

Compiled 4 594 to 1 501 computations (67.3% saved)

prune13.0ms (0.4%)

Memory
33.5MiB live, 33.5MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New3859394
Fresh011
Picked235
Done000
Total38713400
Accuracy
100.0%
Counts
400 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.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)) (neg.f64 (sqrt.f64 x)))
▶4.7%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
▶99.8%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
✓54.5%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓50.4%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
51.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
20.7%
#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 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x))
▶49.2%
#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))
33.1%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.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))) #s(literal 1 binary64)) (*.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)))) x)))
✓51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
▶59.0%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
▶51.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
Compiler

Compiled 387 to 353 computations (8.8% saved)

series40.0ms (1.3%)

Memory
-28.2MiB live, 42.9MiB allocated; 39ms collecting garbage
Counts
39 → 104
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 x)
x
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.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)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sqrt.f64 x) x) x)
(/.f64 (sqrt.f64 x) 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))
(/.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(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))
#s(literal 1/8 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
(*.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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(-.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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(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 1/2 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
Outputs
#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 (- (- x -1) x) #s(hole binary64 1))
#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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#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 (- (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) x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) 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) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* x (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x)))))) (pow x 2))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 3)))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) (pow x 3))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (- (* x (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x))))) (* 1/8 (sqrt x))) (pow x 3))))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x)))) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ 2 (sqrt x))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* 1/8 (/ (sqrt x) (pow x 3)))))
#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 (/ 1 (* (* x x) (* x x))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ 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) #s(hole binary64 (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)))))
#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) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ 2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* 1/8 (/ (sqrt (/ 1 x)) (pow x 2)))))
#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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ 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) #s(hole binary64 (* -1 (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)))))
#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) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (* -1 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* -1 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) x))))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2)))))
#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
6.0ms
x
@-inf
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) x (sqrt (- x -1)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) 1/2 (* (/ (sqrt x) x) x) (/ (sqrt x) x) (- (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)) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (/ 1/2 (* x x)) (* x x) (/ 2 (sqrt x)) 2 (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) (/ 1 (* (* x x) (* x x))) (* (* x x) (* x x)))
5.0ms
x
@0
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) x (sqrt (- x -1)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) 1/2 (* (/ (sqrt x) x) x) (/ (sqrt x) x) (- (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)) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (/ 1/2 (* x x)) (* x x) (/ 2 (sqrt x)) 2 (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) (/ 1 (* (* x x) (* x x))) (* (* x x) (* x x)))
5.0ms
x
@inf
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (- x -1))) (sqrt x) x (sqrt (- x -1)) (- x -1) -1 (- (sqrt (+ x 1)) (sqrt x)) (/ 1 (+ (sqrt x) 1)) (+ (sqrt x) 1) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* (/ (sqrt x) x) x)) 1/2 (* (/ (sqrt x) x) x) (/ (sqrt x) x) (- (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)) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (sqrt x) x) 1/8) 1/8 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1))) (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (/ 1/2 (* x x)) (* x x) (/ 2 (sqrt x)) 2 (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (* (* (sqrt x) x) 1/8) (* (sqrt x) x) (/ 1 (* (* x x) (* x x))) (* (* x x) (* x x)))

rewrite170.0ms (5.6%)

Memory
13.2MiB live, 284.8MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04153411
04743031
123972577
091202478
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
143 → 497
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 x)
x
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.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)))
(+.f64 (sqrt.f64 x) #s(literal 1 binary64))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sqrt.f64 x) x) x)
(/.f64 (sqrt.f64 x) 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))
(/.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(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))
#s(literal 1/8 binary64)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
(*.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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)
(-.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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))
(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 1/2 binary64) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (sqrt.f64 x))
#s(literal 2 binary64)
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 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 (- (- x -1) x) #s(hole binary64 1))
#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 (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#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 (- (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) x)) #s(hole binary64 (/ 1/2 (sqrt x))))
#s(approx (/ (sqrt x) x) #s(hole binary64 (/ (sqrt x) 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) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* x (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x)))))) (pow x 2))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1/8 (/ (sqrt x) (pow x 3)))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (- (* 1/2 (* x (sqrt x))) (* 1/8 (sqrt x))) (pow x 3))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (- (* x (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x))))) (* 1/8 (sqrt x))) (pow x 3))))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) #s(hole binary64 (* 1/2 (/ (sqrt x) (pow x 2)))))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) #s(hole binary64 (/ (+ (* 1/2 (sqrt x)) (* 2 (/ (pow x 2) (sqrt x)))) (pow x 2))))
#s(approx (/ 1/2 (* x x)) #s(hole binary64 (/ 1/2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ 2 (sqrt x))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* 1/8 (/ (sqrt x) (pow x 3)))))
#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 (/ 1 (* (* x x) (* x x))) #s(hole binary64 (/ 1 (pow x 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ 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) #s(hole binary64 (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)))))
#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) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (/ (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) x)))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ 2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* 1/8 (/ (sqrt (/ 1 x)) (pow x 2)))))
#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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #s(hole binary64 (* -1 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) #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) (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 (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 (/ 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) #s(hole binary64 (* -1 (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)))))
#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) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (* -1 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) #s(hole binary64 (+ (* -1 (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) (* 1/8 (/ (sqrt (/ 1 x)) x)))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* 1/2 (sqrt (/ 1 x))) (* 2 (/ 1 (sqrt (/ 1 x)))))) x))))
#s(approx (/ 2 (sqrt x)) #s(hole binary64 (/ -2 (* x (sqrt (/ 1 x))))))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) #s(hole binary64 (* -1/8 (/ (sqrt (/ 1 x)) (pow x 2)))))
#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
(*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))))
(/.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.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 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.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)))
(fma.f64 (sqrt.f64 x) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
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(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
#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 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x)) #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 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x (/.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 (+.f64 (neg.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1/16 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x)) (/.f64 #s(literal 1/8 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))) x (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
#s(approx (- (- x -1) 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 (fma.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 (sqrt x) (sqrt.f64 x))
#s(approx x x)
#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 -1) x) (+ (sqrt x) (sqrt (- x -1)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (-.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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (-.f64 (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)) (sqrt.f64 x)))
#s(approx (/ 1/2 (* (/ (sqrt x) x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) 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 (*.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 (* 1/2 (sqrt x)) (*.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)))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64)))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x 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 (*.f64 x x) x)))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (/.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 (*.f64 x x) x)))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))
#s(approx (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) x) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 x x)))
#s(approx (/ 1/2 (* x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ 2 (sqrt x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (*.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x 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 (/ 1 (* (* x x) (* x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))
#s(approx (* (* x x) (* x x)) (*.f64 (*.f64 (*.f64 x x) x) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.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) (sqrt (- x -1))) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x) #s(literal 2 binary64)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64)))) x))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (*.f64 (-.f64 (+.f64 (+.f64 (/.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 1/2 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))) x))
#s(approx (sqrt x) (*.f64 (/.f64 (sqrt.f64 x) x) x))
#s(approx (sqrt (- x -1)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)) x))
#s(approx (sqrt (- x -1)) (*.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64)))) x))
#s(approx (sqrt (- x -1)) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))) x))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (+ (sqrt x) 1)) (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) x) x #s(literal 1 binary64)))
#s(approx (/ (sqrt x) x) (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) (*.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 (sqrt.f64 x) x) x) #s(literal 1/2 binary64)))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #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)))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (/ 2 (sqrt x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.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 -1) x) (+ (sqrt x) (sqrt (- x -1)))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (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 (*.f64 x x) x) x)))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (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 (*.f64 x x) x) x)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (sqrt.f64 x) x)) #s(literal 1/8 binary64) (/.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) (sqrt (- x -1))) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64)))) x)))
#s(approx (+ (sqrt x) (sqrt (- x -1))) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.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 1/2 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (sqrt x) (neg.f64 (*.f64 (/.f64 (sqrt.f64 x) x) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x)) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (*.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64)))) x)))
#s(approx (sqrt (- x -1)) (neg.f64 (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 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) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal 1/8 binary64))) x)))
#s(approx (/ 1 (+ (sqrt x) 1)) (neg.f64 (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) #s(literal 1 binary64)) x) x)))
#s(approx (/ (sqrt x) x) (neg.f64 (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (*.f64 (/.f64 (sqrt.f64 x) 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 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #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)))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
#s(approx (* (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) x) (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x))
#s(approx (- (+ (* (/ 1/2 (* x x)) (sqrt x)) (/ 2 (sqrt x))) (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x)))
#s(approx (/ 2 (sqrt x)) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (* (* (* (sqrt x) x) 1/8) (/ 1 (* (* x x) (* x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (*.f64 x x))) #s(literal -1/8 binary64)))
#s(approx (* (* (sqrt x) x) 1/8) (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (* (sqrt x) x) (neg.f64 (*.f64 (sqrt.f64 x) x)))

eval195.0ms (6.4%)

Memory
-16.6MiB live, 132.9MiB allocated; 22ms collecting garbage
Compiler

Compiled 7 733 to 3 197 computations (58.7% saved)

prune32.0ms (1.1%)

Memory
-19.2MiB live, 28.5MiB allocated; 1ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New5996605
Fresh235
Picked415
Done033
Total60513618
Accuracy
100.0%
Counts
618 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.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)) (neg.f64 (sqrt.f64 x)))
▶65.2%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))))
✓99.8%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
59.0%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
✓54.5%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓50.4%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
▶51.5%
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
51.4%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
▶25.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x))
33.9%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.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))))) #s(literal 1 binary64)) (*.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)))) x)))
✓51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
▶51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
▶49.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
Compiler

Compiled 407 to 339 computations (16.7% saved)

series21.0ms (0.7%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Counts
34 → 91
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 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)))
(*.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) (fma.f64 (/.f64 (sqrt.f64 x) (*.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 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x)
#s(literal 1/8 binary64)
Outputs
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #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 (- (- x -1) x) #s(hole binary64 1))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (* (* x x) x)) #s(hole binary64 (+ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (- (* x x) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) x) #s(hole binary64 (* x (- x 1))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt 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 x) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 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 (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (/ (pow x 2) (sqrt x)))) (pow x 2))))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (/ (sqrt x) (pow x 2))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (/ (pow x 2) (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (* 1/2 (/ x (sqrt x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ 1/8 (sqrt x))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (* (/ 1/2 x) (sqrt 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 (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (/ (sqrt (/ 1 x)) x)))
#s(approx (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (/ 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ 1/8 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (* (/ 1/2 x) (sqrt 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) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) x))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (/ -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ -1/8 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@0
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (sqrt x) x (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) (+ 1 (* (* x x) x)) (* (* x x) x) (* x x) (+ 1 (- (* x x) x)) (- (* x x) x) (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1/2 (sqrt x)) 1/2 (- (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 x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (/ 1 x) (/ (sqrt x) (* x x))) (/ 1 x) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8)
7.0ms
x
@-inf
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (sqrt x) x (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) (+ 1 (* (* x x) x)) (* (* x x) x) (* x x) (+ 1 (- (* x x) x)) (- (* x x) x) (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1/2 (sqrt x)) 1/2 (- (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 x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (/ 1 x) (/ (sqrt x) (* x x))) (/ 1 x) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8)
5.0ms
x
@inf
((/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (- (- x -1) x) 1 (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (sqrt x) x (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) (+ 1 (* (* x x) x)) (* (* x x) x) (* x x) (+ 1 (- (* x x) x)) (- (* x x) x) (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/ 1/2 (sqrt x)) 1/2 (- (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 x)) -1/8) (/ 1/2 (sqrt x))) (/ (sqrt x) (* x x)) -1/8 (- (sqrt (+ x 1)) (sqrt x)) (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (/ 1 x) (/ (sqrt x) (* x x))) (/ 1 x) (/ (* (* (sqrt x) x) 1/8) (* x x)) (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8)

rewrite263.0ms (8.7%)

Memory
-41.2MiB live, 249.3MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03663162
04132858
120972502
096312438
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
125 → 449
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1/2 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)))
(*.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) (fma.f64 (/.f64 (sqrt.f64 x) (*.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 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 x x))
#s(literal -1/8 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x)
#s(literal 1/8 binary64)
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ 1 (+ 1 (sqrt x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #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 (- (- x -1) x) #s(hole binary64 1))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (sqrt x))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* 1/2 x)))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* -1/8 x)))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (+ 1 (+ (sqrt x) (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* 1/2 x))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* -1/8 x))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))))))
#s(approx (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) #s(hole binary64 (+ 1 x)))
#s(approx (+ 1 (* (* x x) x)) #s(hole binary64 (+ 1 (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (- (* x x) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* x x) x) #s(hole binary64 (* x (- x 1))))
#s(approx (/ 1/2 (sqrt x)) #s(hole binary64 (/ 1/2 (sqrt 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 x) (sqrt x)) #s(hole binary64 (* 1/2 (/ (sqrt x) x))))
#s(approx (/ 1/2 x) #s(hole binary64 (/ 1/2 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 (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt x)) (* 1/2 (/ (pow x 2) (sqrt x)))) (pow x 2))))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (/ (sqrt x) (pow x 2))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1/8 (/ (sqrt x) x))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (/ (- (* 1/2 (/ (pow x 2) (sqrt x))) (* 1/8 (sqrt x))) x)))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (* 1/2 (/ x (sqrt x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ x (sqrt x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (/ (sqrt x) x))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ 1/8 (sqrt x))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ 1 (sqrt x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ 1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt (/ 1 x)) 3))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* 2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (sqrt x) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ 1 (* (* x x) x)) #s(hole binary64 (* (pow x 3) (+ 1 (/ 1 (pow x 3))))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 x)))))
#s(approx (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))))
#s(approx (* (/ 1/2 x) (sqrt 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 (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x)))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (/ (sqrt (/ 1 x)) x)))
#s(approx (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) #s(hole binary64 (/ (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (sqrt (/ 1 x)))) x)))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (- (* 1/2 (/ 1 (sqrt (/ 1 x)))) (* 1/8 (sqrt (/ 1 x))))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (/ 1/2 (sqrt (/ 1 x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ 1 (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* 1/8 (sqrt (/ 1 x)))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ 1/8 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ 1 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) #s(hole binary64 (/ -1/2 (* x (sqrt (/ 1 x))))))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* -2 (* x (sqrt (/ 1 x))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #s(hole binary64 (* -1 (* x (+ (* 2 (sqrt (/ 1 x))) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) #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 (sqrt x) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ 1 (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) #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 (+ 1 (- (* x x) x)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))))
#s(approx (* (/ 1/2 x) (sqrt 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) (* x x)) -1/8) (/ 1/2 (sqrt x))) #s(hole binary64 (* -1 (/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) x))))
#s(approx (/ (sqrt x) (* x x)) #s(hole binary64 (* -1 (/ (sqrt (/ 1 x)) x))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) #s(hole binary64 (* -1 (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (/ 1 (sqrt (/ 1 x))))))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) #s(hole binary64 (/ -1/2 (sqrt (/ 1 x)))))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) #s(hole binary64 (/ -1 (sqrt (/ 1 x)))))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) #s(hole binary64 (* -1/8 (sqrt (/ 1 x)))))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) #s(hole binary64 (/ -1/8 (* x (sqrt (/ 1 x))))))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) #s(hole binary64 (/ -1 (* x (sqrt (/ 1 x))))))
Outputs
(*.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x)))))
(/.f64 (neg.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x))))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x)))
#s(approx (- (- x -1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 x (+.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))) (neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))))
(/.f64 (-.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 x (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))) (/.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))
(-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (+.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 3/2 binary64)) (+.f64 x (-.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))))))
(+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) 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 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (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) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(sqrt.f64 (*.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 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))) (fabs.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(pow.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) x) (*.f64 (neg.f64 (*.f64 x x)) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))))
(fma.f64 (fabs.f64 (*.f64 (sqrt.f64 x) x)) (fabs.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (*.f64 (sqrt.f64 x) x)) (neg.f64 (*.f64 (sqrt.f64 x) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) x #s(literal 1 binary64))
(fma.f64 x (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))))
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#s(literal 1/8 binary64)
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#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
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#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 (fma.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 x) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (*.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)))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt 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) (* x x)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x 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 (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 1/2 binary64)))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) (/.f64 x (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (sqrt.f64 x) (*.f64 x x))))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 x (/.f64 (sqrt.f64 x) (*.f64 x x))) #s(literal 1/8 binary64) (/.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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (/.f64 (+.f64 x x) (sqrt.f64 x)))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) x))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (-.f64 (+.f64 (+.f64 (/.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 1/2 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (sqrt x) (/.f64 x (sqrt.f64 x)))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (+.f64 (/.f64 x (sqrt.f64 x)) (*.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (*.f64 (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) x))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x))
#s(approx (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)))
#s(approx (+ 1 (* (* x x) x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (- (* x x) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (+ 1 (- (* x x) x)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)))
#s(approx (* (/ 1/2 x) (sqrt 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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (/ (sqrt x) (* x x)) (/.f64 (sqrt.f64 x) (*.f64 x x)))
#s(approx (/ (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) (sqrt.f64 x))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 x (/.f64 (sqrt.f64 x) (*.f64 x x))))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) 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 x (/.f64 (sqrt.f64 x) (*.f64 x x))) #s(literal 1/8 binary64) (/.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) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 2 binary64) (sqrt.f64 x)))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (+ (sqrt x) (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x))))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.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 1/2 binary64) (*.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (sqrt x) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) x))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (sqrt.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (*.f64 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))))
#s(approx (sqrt (/ (+ 1 (* (* x x) x)) (+ 1 (- (* x x) x)))) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 x) 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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))))
#s(approx (+ 1 (- (* x x) x)) (*.f64 (*.f64 x x) (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64))))
#s(approx (* (/ 1/2 x) (sqrt x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64)))
#s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))
#s(approx (+ (* (/ (sqrt x) (* x x)) -1/8) (/ 1/2 (sqrt x))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x))) x)))
#s(approx (/ (sqrt x) (* x x)) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 x x))))
#s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))))
#s(approx (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ (/ 1 x) (/ (sqrt x) (* x x))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (* (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) 1/8) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)))
#s(approx (/ (/ (/ 1 x) (/ (sqrt x) (* x x))) x) (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64)))

eval67.0ms (2.2%)

Memory
27.5MiB live, 155.6MiB allocated; 21ms collecting garbage
Compiler

Compiled 8 378 to 3 051 computations (63.6% saved)

prune38.0ms (1.3%)

Memory
-21.5MiB live, 43.3MiB allocated; 5ms collecting garbage
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New5566562
Fresh224
Picked325
Done044
Total56114575
Accuracy
100.0%
Counts
575 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.2%
(fma.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)) (neg.f64 (sqrt.f64 x)))
65.2%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x)))
✓99.8%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
59.0%
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
✓54.5%
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓50.4%
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
51.4%
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
51.4%
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
✓51.5%
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
25.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))
✓51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
49.2%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))
✓51.5%
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
33.9%
#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 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 x) x))))
Compiler

Compiled 543 to 365 computations (32.8% saved)

regimes15.0ms (0.5%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (- (* 1/2 (/ (/ 1 x) (/ (sqrt x) (* x x)))) (/ (* (* (sqrt x) x) 1/8) (* x x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (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) (fma.f64 (/.f64 (sqrt.f64 x) (*.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)) (/.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)) #s(approx (/ (- (* 1/2 (sqrt x)) (/ (* (* (sqrt x) x) 1/8) (* x x))) x) (/.f64 (fma.f64 (*.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1/8 binary64)) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 x) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 x)))) x))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)))) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))))
(fma.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)) (neg.f64 (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x)))) #s(approx (/ (* (* (sqrt x) x) 1/8) (* x x)) (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (*.f64 x x))) x) #s(literal 1/8 binary64)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.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))))) #s(literal 1 binary64)) (*.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)))) x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) 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 (sqrt.f64 x) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.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 (sqrt.f64 x) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.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))) #s(literal 1 binary64)) (*.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)))) x)))
Outputs
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
Calls

2 calls:

7.0ms
x
6.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.8%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.8%1x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
12 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 x) x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (sqrt.f64 x) x)))
Outputs
(-.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) (sqrt.f64 x)) x))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
99.1%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.1%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes17.0ms (0.6%)

Memory
-35.7MiB live, 9.5MiB allocated; 3ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) x))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
Calls

2 calls:

15.0ms
x
2.0ms
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Results
AccuracySegmentsBranch
97.6%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.6%2x
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(/.f64 #s(approx (- (- x -1) x) #s(literal 1 binary64)) #s(approx (+ (sqrt x) (sqrt (- x -1))) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
Outputs
#s(approx (/ (- (- x -1) x) (+ (sqrt x) (sqrt (- x -1)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 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
97.6%2x
97.6%2(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory
8.0MiB live, 7.9MiB 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
50.4%1(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
50.4%1x
Compiler

Compiled 7 to 7 computations (0% saved)

bsearch17.0ms (0.6%)

Memory
-18.1MiB live, 25.2MiB allocated; 8ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
26552779.307856962
1397267773.6670873
Samples
7.0ms112×1valid
Compiler

Compiled 129 to 143 computations (-10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sqrt: 3.0ms (59% of total)
adjust: 1.0ms (19.7% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.33357340525230583
0.9855632831287094
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.33357340525230583
0.9855632831287094
Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations204.0ms (6.7%)

Memory
27.3MiB live, 266.5MiB allocated; 22ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 53 to 38 computations (28.3% saved)

preprocess37.0ms (1.2%)

Memory
6.3MiB live, 102.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 59 to 44 computations (25.4% saved)

end0.0ms (0%)

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

Profiling

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