2isqrt (example 3.6)

Time bar (total: 3.7s)

start0.0ms (0.0%)

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

analyze2.0ms (0.0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.0%75.0%0.0%0.0%0.0%0
0.0%0.0%25.0%75.0%0.0%0.0%0.0%1
50.0%12.5%12.5%75.0%0.0%0.0%0.0%2
75.0%18.7%6.2%75.0%0.0%0.0%0.0%3
87.5%21.9%3.1%75.0%0.0%0.0%0.0%4
93.8%23.4%1.6%75.0%0.0%0.0%0.0%5
96.9%24.2%0.8%75.0%0.0%0.0%0.0%6
98.4%24.6%0.4%75.0%0.0%0.0%0.0%7
99.2%24.8%0.2%75.0%0.0%0.0%0.0%8
99.6%24.9%0.1%75.0%0.0%0.0%0.0%9
99.8%24.9%0.0%75.0%0.0%0.0%0.0%10
99.9%25.0%0.0%75.0%0.0%0.0%0.0%11
100.0%25.0%0.0%75.0%0.0%0.0%0.0%12
Compiler

Compiled 19 to 13 computations (31.6% saved)

sample1.5s (38.8%)

Memory
23.9MiB live, 1 463.8MiB allocated; 422ms collecting garbage
Samples
748.0ms6 112×1valid
352.0ms2 010×2valid
31.0ms134×0valid
Precisions
Click to see histograms. Total time spent on operations: 909.0ms
ival-sqrt: 394.0ms (43.4% of total)
ival-div!: 213.0ms (23.4% of total)
adjust: 208.0ms (22.9% of total)
ival-sub!: 51.0ms (5.6% of total)
ival-add!: 43.0ms (4.7% of total)
ival-assert: 0.0ms (0.0% of total)
ival-and: 0.0ms (0.0% of total)
ival-<: 0.0ms (0.0% of total)
Bogosity

preprocess42.0ms (1.1%)

Memory
-34.1MiB live, 50.3MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01635
17428
234128
3228724
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.4%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
Symmetry

(abs x)

Compiler

Compiled 22 to 16 computations (27.3% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series17.0ms (0.4%)

Memory
31.5MiB live, 31.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971140
Stop Event
iter-limit
Counts
8 → 40
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (/ 1 (sqrt (+ x 1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x))
#s(approx (sqrt (+ x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
Calls

3 calls:

TimeVariablePoint
3.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0

rewrite110.0ms (2.9%)

Memory
13.7MiB live, 156.5MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0832
01432
18128
233728
3178026
0414226
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 591
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
(/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(sqrt.f64 (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 x))) (fma.f64 x x x))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 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 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(fabs.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (-.f64 #s(literal -1 binary64) x))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)

eval80.0ms (2.1%)

Memory
-31.4MiB live, 113.9MiB allocated; 26ms collecting garbage
Compiler

Compiled 12 661 to 2 060 computations (83.7% saved)

prune41.0ms (1.1%)

Memory
21.6MiB live, 67.3MiB allocated; 6ms collecting garbage
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New58937626
Fresh000
Picked101
Done000
Total59037627
Accuracy
71.3%
Counts
627 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
8.2%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
8.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
6.8%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
39.5%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
6.1%
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
6.5%
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
39.5%
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
6.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
39.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
39.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
5.2%
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
39.6%
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
6.9%
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
39.6%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
26.2%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
8.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
25.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
26.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
8.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 (sqrt.f64 x)))))
5.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
8.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
8.1%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
33.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
8.2%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
2.5%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
31.5%
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
8.0%
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
33.7%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
7.9%
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
39.5%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
26.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
32.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
35.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
38.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
3.6%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
Compiler

Compiled 1 486 to 920 computations (38.1% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series67.0ms (1.8%)

Memory
-12.3MiB live, 96.0MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09246476
Stop Event
iter-limit
Counts
29 → 183
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(fma.f64 x x x)
(/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (fma.f64 x x x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
(-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
Outputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt (/ 1 (+ (* x x) x))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) x))
#s(approx (sqrt (/ 1 (+ (* x x) x))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (sqrt (/ 1 (+ (* x x) x))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ 1 (+ (* x x) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ (* x x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (/ 1 (+ (* x x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) x))
#s(approx (/ 1 (+ (* x x) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)))) x))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (neg (sqrt x)) (sqrt (+ (* x x) x))) #s(literal -1 binary64))
#s(approx (/ (neg (sqrt x)) (sqrt (+ (* x x) x))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (neg (sqrt x)) (sqrt (+ (* x x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (neg (sqrt x)) (sqrt (+ (* x x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (neg (sqrt x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 5/16 binary64) x) #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ x 1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (+ (* x x) x)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (+ (* x x) x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (/ 1 (sqrt x)) (/ (sqrt x) (sqrt (+ (* x x) x)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 6 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 x (-.f64 (+.f64 #s(literal 5/8 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) x))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (* (/ (- x -1) x) (- x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) x))
#s(approx (* (/ (- x -1) x) (- x -1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x))) x))
#s(approx (/ (- x -1) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)))
#s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (sqrt (* (- x -1) (+ (* x x) x))) (+.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* (- x -1) (+ (* x x) x))) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (* (- x -1) (+ (* x x) x))) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (* (- x -1) (+ (* x x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
#s(approx (* (- x -1) (+ (* x x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) x)))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (* (+ (* x x) x) x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ (* x x) x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
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#s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))) (fma.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (* (/ (- x -1) x) (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (* (/ (- x -1) x) (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)))))
#s(approx (/ (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+ (* x x) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (* (- x -1) (+ (* x x) x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (* (- x -1) (+ (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)))))
Calls

3 calls:

TimeVariablePoint
10.0ms
x
inf
8.0ms
x
-inf
5.0ms
x
0

rewrite172.0ms (4.6%)

Memory
-16.4MiB live, 266.2MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032240
059226
1321206
21319204
04168173
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 623
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(fma.f64 x x x)
(/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (fma.f64 x x x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
(-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
Outputs
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (fma.f64 x x x)) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 x x x)))) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 x x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(*.f64 (-.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (fma.f64 x x x)) (fma.f64 x x x) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (fma.f64 x x x)) (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (fma.f64 x x x)) (fma.f64 x x x))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (neg.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (fma.f64 x x x)) (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x)) (fma.f64 x x x)) (fma.f64 x x x))) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
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(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 1/2 binary64)))
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(*.f64 x (fma.f64 x x x))
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(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1 binary64))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) x (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 x x) x))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fabs.f64 (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
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(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))

eval302.0ms (8.0%)

Memory
50.2MiB live, 427.9MiB allocated; 118ms collecting garbage
Compiler

Compiled 49 412 to 6 463 computations (86.9% saved)

prune127.0ms (3.4%)

Memory
9.2MiB live, 115.6MiB allocated; 87ms collecting garbage
Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New1 575251 600
Fresh161632
Picked505
Done000
Total1 596411 637
Accuracy
99.8%
Counts
1 637 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
39.9%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x)))))
8.1%
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
5.7%
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x)) (*.f64 (fma.f64 x x x) x))
6.0%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
8.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
6.3%
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))))))
5.8%
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
40.7%
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64)))
5.4%
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
27.8%
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
26.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
6.8%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
5.4%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
39.5%
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
6.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
39.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
39.6%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
39.6%
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
39.6%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
96.8%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (-.f64 x #s(literal -1 binary64)))
96.9%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
81.3%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 x x x))
52.5%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 x x x))
81.4%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
5.8%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
33.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
30.0%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
33.7%
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
39.5%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
41.7%
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 2 binary64))))
81.2%
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
39.7%
#s(approx (/ (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+ (* x x) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))
26.7%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
32.2%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
35.8%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
38.5%
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
Compiler

Compiled 2 472 to 1 352 computations (45.3% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1
-1
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series62.0ms (1.7%)

Memory
-22.1MiB live, 69.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010887815
Stop Event
iter-limit
Counts
35 → 199
Calls
Call 1
Inputs
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x)))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x)
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(*.f64 x x)
Outputs
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 x (-.f64 (+.f64 #s(literal 5/8 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) x))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx x x)
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
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#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt x) (sqrt (/ x (- x -1)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
#s(approx (* (sqrt x) (sqrt (/ x (- x -1)))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (* (sqrt x) (sqrt (/ x (- x -1)))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
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#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (/ x (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ x (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))))
#s(approx (/ x (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ x (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))))))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (-.f64 (fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))))) (sqrt.f64 x)) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x)))))) (sqrt.f64 x)))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (sqrt.f64 x)))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x)))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt (- x -1))) (+.f64 (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) x))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64)))) x))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 x (sqrt.f64 x)))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 x (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 x (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 x (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1 binary64))))))
#s(approx (* (- x -1) (sqrt x)) (+.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 3/8 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))))
#s(approx (sqrt (* (+ (* x x) x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (* (+ (* x x) x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 x #s(literal 2 binary64))))
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#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
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#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ x (- x -1)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
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#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ (- (- x -1) (sqrt (+ (* x x) x))) (* (sqrt (+ (* x x) x)) (sqrt (- x -1)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 2 binary64)))))
#s(approx (- (- x -1) (sqrt (+ (* x x) x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (* (sqrt (+ (* x x) x)) (sqrt (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- x -1) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) x)))))
#s(approx (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))) x)))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (/ (sqrt (* (+ (* x x) x) x)) (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))))))
Calls

3 calls:

TimeVariablePoint
10.0ms
x
-inf
6.0ms
x
inf
5.0ms
x
0

rewrite133.0ms (3.5%)

Memory
46.0MiB live, 140.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051335
084329
1374308
21605303
04159299
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 774
Calls
Call 1
Inputs
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(/.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x)))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
(-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x)
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(*.f64 x x)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(*.f64 (neg.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
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(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x x) (/.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) x))
(*.f64 x (/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (fma.f64 x x x))))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 x) (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) x (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(fma.f64 x (sqrt.f64 x) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))) x)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x)))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(*.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fabs.f64 (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval115.0ms (3.1%)

Memory
-0.7MiB live, 182.2MiB allocated; 28ms collecting garbage
Compiler

Compiled 36 631 to 4 758 computations (87.0% saved)

prune50.0ms (1.3%)

Memory
-5.2MiB live, 86.8MiB allocated; 8ms collecting garbage
Pruning

42 alts after pruning (40 fresh and 2 done)

PrunedKeptTotal
New1 043231 066
Fresh191736
Picked325
Done000
Total1 065421 107
Accuracy
99.9%
Counts
1 107 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
8.1%
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
6.1%
(fma.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64))))
6.0%
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
8.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
39.6%
(/.f64 (fma.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x)
5.8%
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
5.4%
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x))
5.5%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
5.8%
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 x x x) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x))
27.8%
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
26.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
7.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)))) (*.f64 x x))
6.8%
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
39.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
39.6%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
39.6%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
83.4%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
83.1%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
82.6%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
81.4%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
97.0%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
96.9%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
97.0%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
52.5%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 x x x))
81.4%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
99.0%
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))) x)
96.9%
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
33.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
96.9%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
39.5%
(*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
67.7%
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x))
44.8%
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
98.1%
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
Compiler

Compiled 2 201 to 1 290 computations (41.4% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-35/128
1
3
-1/2
-5/16
2
3/8
-1
Outputs
#s(literal -35/128 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal -1/2 binary64)
#s(literal -5/16 binary64)
#s(literal 2 binary64)
#s(literal 3/8 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series61.0ms (1.6%)

Memory
-30.8MiB live, 70.9MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09377221
Stop Event
iter-limit
Counts
46 → 201
Calls
Call 1
Inputs
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))) x)
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
(-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(literal -35/128 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(literal -1/2 binary64)
(fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(literal -5/16 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(literal 3/8 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)
(*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(-.f64 #s(literal -1 binary64) x)
(*.f64 x x)
Outputs
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))
#s(approx (- (* -35/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x))))) (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (* -35/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x))))) (/.f64 (fma.f64 #s(literal -35/128 binary64) (sqrt.f64 x) (*.f64 #s(literal 5/16 binary64) (*.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -35/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x))))) (/.f64 (fma.f64 #s(literal -35/128 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal -5/16 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -35/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x))))) (/.f64 (fma.f64 #s(literal -35/128 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x)))) (*.f64 #s(literal -5/16 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 3)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 4 binary64))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x)))) (*.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x)))) (/.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 x) (*.f64 #s(literal 3/8 binary64) (*.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* -1/2 (sqrt (/ 1 x))) (+ (* -5/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 3/8 (/ (sqrt (/ 1 x)) x)))) (/.f64 (fma.f64 #s(literal -5/16 binary64) (sqrt.f64 x) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 x)) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 2)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 3/8 (/ (sqrt (/ 1 x)) x)) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ (sqrt (/ 1 x)) x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (*.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) #s(literal 1 binary64)))) x))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ (- (sqrt (/ (- x -1) x)) 1) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- (sqrt (/ (- x -1) x)) 1) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- (sqrt (/ (- x -1) x)) 1) (sqrt (- x -1))) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (fma.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))) x))
#s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64)))) x))
#s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64)))) x))
#s(approx (sqrt (/ (- x -1) x)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) x))
#s(approx (sqrt (/ (- x -1) x)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
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#s(approx (* (- -1 x) (sqrt x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)))))
#s(approx (- -1 x) #s(literal -1 binary64))
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#s(approx (sqrt (+ (* x x) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* x x) x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (/ (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (* x x)) (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (* x x)) (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
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#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
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#s(approx (* (- -1 x) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (- -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- -1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 5/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (/ (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (- -1 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))))
#s(approx (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))))))
#s(approx (+ (* (sqrt (* (+ (* x x) x) x)) x) (* (* (- -1 x) (sqrt x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) x))))))
#s(approx (* (* (- -1 x) (sqrt x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (* (- -1 x) (sqrt x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (* (- -1 x) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
Calls

3 calls:

TimeVariablePoint
10.0ms
x
inf
10.0ms
x
-inf
5.0ms
x
0

rewrite197.0ms (5.3%)

Memory
0.2MiB live, 142.8MiB allocated; 95ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062442
0104434
1493414
21962393
04132390
Stop Event
iter-limit
node-limit
iter-limit
Counts
46 → 964
Calls
Call 1
Inputs
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))) x)
#s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
(-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(literal -35/128 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(literal -1/2 binary64)
(fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))
#s(literal -5/16 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(literal 3/8 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)
(*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(-.f64 #s(literal -1 binary64) x)
(*.f64 x x)
Outputs
(*.f64 (*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64)))))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64)))))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) #s(literal 1 binary64)) x)
(/.f64 (*.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64)))))) (neg.f64 x))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64)))))))
(neg.f64 (/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64))))) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) x)) #s(literal -35/128 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) #s(literal 3/8 binary64)))))) x))
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(fma.f64 x (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x))))
(fma.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(-.f64 (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))))
(-.f64 (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x))))
(+.f64 (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(*.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)))) (+.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x))))))
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fma.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 (*.f64 (sqrt.f64 x) x) (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(fma.f64 x (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)))
(-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x))
(-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(-.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x)))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)))
(+.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x x) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x)))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 x x x) x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(fabs.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(*.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x (fma.f64 x x x))
(pow.f64 (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 x x) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 x x) x))
(sqrt.f64 (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))))
(fabs.f64 (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 x x) x))
(+.f64 (*.f64 (*.f64 x x) x) (*.f64 x x))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)
(*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (-.f64 #s(literal -1 binary64) x))
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(+.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) (neg.f64 x)))
(+.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (fma.f64 x x (*.f64 #s(literal -1 binary64) x))))
(neg.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval147.0ms (3.9%)

Memory
51.0MiB live, 233.7MiB allocated; 38ms collecting garbage
Compiler

Compiled 47 942 to 5 985 computations (87.5% saved)

prune43.0ms (1.1%)

Memory
-21.3MiB live, 71.8MiB allocated; 6ms collecting garbage
Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New1 20461 210
Fresh122335
Picked235
Done022
Total1 218341 252
Accuracy
100.0%
Counts
1 252 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.2%
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
8.1%
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
8.5%
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
39.6%
(/.f64 (fma.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x)
41.7%
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
27.8%
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
7.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)))) (*.f64 x x))
39.4%
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
39.6%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
39.5%
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
39.6%
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
82.6%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
81.4%
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
98.1%
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
97.0%
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
98.7%
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
97.0%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
96.9%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
97.0%
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
52.5%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 x x x))
81.4%
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
50.8%
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -35/128 binary64)) (*.f64 x x)) x) (*.f64 x (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))) x)
96.9%
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
27.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
96.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
33.7%
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
27.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
39.5%
(*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
44.8%
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
36.6%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
5.8%
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
Compiler

Compiled 805 to 511 computations (36.5% saved)

regimes191.0ms (5.1%)

Memory
-0.4MiB live, 236.0MiB allocated; 16ms collecting garbage
Counts
4 → 1
6 → 1
11 → 1
12 → 2
26 → 2
58 → 1
85 → 1
92 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
Outputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
Call 2
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
Outputs
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
Call 3
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
Outputs
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
Call 4
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
Call 5
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
Call 6
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
Outputs
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
Call 7
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 x x x) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
(fma.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x)) (*.f64 (fma.f64 x x x) x))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -35/128 binary64)) (*.f64 x x)) x) (*.f64 x (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))) x)
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 x x x))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
Outputs
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
Call 8
Inputs
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (sqrt.f64 x) x))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ 1 (sqrt (+ x 1))) #s(literal 1 binary64)))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (+ (* (sqrt (- x -1)) (sqrt (/ 1 (+ (* x x) x)))) (/ (neg (sqrt x)) (sqrt (+ (* x x) x)))) (/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) x)))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (/ (sqrt x) (sqrt (+ (* x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x x))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x))) x)
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
(/.f64 (fma.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
(*.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 x (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 x x x))))
#s(approx (/ (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) x) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 x (sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x)))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(/.f64 #s(approx (- (sqrt (/ (- x -1) x)) 1) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 (asinh.f64 (sqrt.f64 x)))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x x))) (sqrt.f64 (*.f64 (fma.f64 x x x) x))) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 x x x))
(/.f64 #s(approx (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 x)) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (fma.f64 x x x) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) x) (*.f64 x (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))))) (*.f64 x x))
(fma.f64 x (/.f64 (/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 x x)) (neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x))) x)) (*.f64 (fma.f64 x x x) x))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x) (sqrt.f64 (*.f64 (fma.f64 x x x) x)))) (fma.f64 x x x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 x x x) x)) x) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (sqrt.f64 x) (fma.f64 x x x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -35/128 binary64)) (*.f64 x x)) x) (*.f64 x (fma.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) #s(literal -5/16 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x (*.f64 #s(literal 3/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x x))) x)
(/.f64 #s(approx (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (fma.f64 x x x))
(/.f64 #s(approx (- (- x -1) (sqrt (+ (* x x) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))) x)
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 5/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ 1 (sqrt x)) (/ 1 (sqrt (+ x 1)))) (/.f64 (-.f64 (fma.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 35/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 9 binary64))))))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (* (/ (* (- x -1) (sqrt x)) (- x -1)) x) (* x (/ (sqrt (* (+ (* x x) x) x)) (- x -1)))) (* x x)) (/.f64 (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x))
#s(approx (/ (- (sqrt (* (- x -1) (+ (* x x) x))) (sqrt (* (+ (* x x) x) x))) (+ (* x x) x)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (sqrt (* (/ (- x -1) x) (- x -1))) (sqrt (- x -1))) (- x -1)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) (pow.f64 x #s(literal 2 binary64))))
Outputs
(/.f64 #s(approx (- (sqrt x) (* (sqrt x) (sqrt (/ x (- x -1))))) (-.f64 (*.f64 #s(literal -35/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))) x)
Calls

16 calls:

37.0ms
x
25.0ms
x
17.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
15.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
15.0ms
x
Results
AccuracySegmentsBranch
5.8%1x
5.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
44.8%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
44.8%1x
97.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
97.0%1x
98.6%2(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.6%2x
98.7%2(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.7%2x
98.1%1x
98.1%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.7%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
98.7%1x
99.0%1(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
99.0%1x
Compiler

Compiled 2 639 to 566 computations (78.6% saved)

bsearch22.0ms (0.6%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
38130211.754993565
190903549919.26404
Samples
9.0ms94×1valid
5.0ms30×2valid
0.0ms0valid
Compiler

Compiled 270 to 220 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sqrt: 4.0ms (36.7% of total)
adjust: 3.0ms (27.5% of total)
ival-div!: 3.0ms (27.5% of total)
ival-add!: 1.0ms (9.2% of total)
ival-sub!: 1.0ms (9.2% of total)

bsearch23.0ms (0.6%)

Memory
-24.4MiB live, 25.7MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
38130211.754993565
190903549919.26404
Samples
9.0ms91×1valid
8.0ms20×2valid
0.0ms0valid
Compiler

Compiled 270 to 220 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sqrt: 8.0ms (58.1% of total)
adjust: 2.0ms (14.5% of total)
ival-div!: 2.0ms (14.5% of total)
ival-add!: 1.0ms (7.3% of total)
ival-sub!: 1.0ms (7.3% of total)

derivations145.0ms (3.9%)

Memory
14.6MiB live, 107.5MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 274 to 102 computations (62.8% saved)

preprocess146.0ms (3.9%)

Memory
-45.5MiB live, 138.2MiB allocated; 120ms collecting garbage
Compiler

Compiled 857 to 488 computations (43.1% saved)

end0.0ms (0.0%)

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

Profiling

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