Given's Rotation SVD example, simplified

Time bar (total: 5.3s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 19 to 11 computations (42.1% saved)

sample2.2s (42.3%)

Memory
30.5MiB live, 1 706.2MiB allocated; 1.2s collecting garbage
Samples
929.0ms2 881×2valid
339.0ms4 170×0valid
258.0ms1 205×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-hypot: 541.0ms (42.8% of total)
adjust: 240.0ms (19% of total)
ival-sqrt: 155.0ms (12.2% of total)
ival-div!: 125.0ms (9.9% of total)
ival-mult!: 93.0ms (7.3% of total)
ival-add!: 58.0ms (4.6% of total)
ival-sub!: 53.0ms (4.2% of total)
Bogosity

preprocess69.0ms (1.3%)

Memory
-2.1MiB live, 45.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02230
110530
228630
3111430
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Symmetry

(abs x)

Compiler

Compiled 24 to 18 computations (25% saved)

series28.0ms (0.5%)

Memory
27.3MiB live, 27.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03001508
Stop Event
iter-limit
Counts
9 → 64
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx x x)
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* 1 1) (* 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) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* 1 1) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))))
Calls

3 calls:

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

rewrite362.0ms (6.9%)

Memory
27.9MiB live, 299.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0949
01839
110739
2100739
0839536
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 985
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
#s(literal 1 binary64)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
x
Outputs
(*.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
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(cosh.f64 (neg.f64 (asinh.f64 (fabs.f64 x))))
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(cosh.f64 (neg.f64 (asinh.f64 x)))
(cosh.f64 (asinh.f64 (neg.f64 (fabs.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (neg.f64 x))))
(cosh.f64 (asinh.f64 (fabs.f64 x)))
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(cosh.f64 (asinh.f64 x))
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(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
x

eval198.0ms (3.8%)

Memory
-36.8MiB live, 257.0MiB allocated; 63ms collecting garbage
Compiler

Compiled 16 073 to 4 900 computations (69.5% saved)

prune28.0ms (0.5%)

Memory
8.5MiB live, 55.5MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1 033121 045
Fresh000
Picked101
Done000
Total1 034121 046
Accuracy
100.0%
Counts
1 046 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
77.3%
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
78.1%
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
78.1%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
77.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
51.8%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
49.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
27.6%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
78.1%
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
48.5%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.3%
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 384 to 336 computations (12.5% saved)

series46.0ms (0.9%)

Memory
14.5MiB live, 61.5MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09376066
Stop Event
iter-limit
Counts
32 → 182
Calls
Call 1
Inputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal -1 binary64)
Outputs
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -39/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 275/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 39/128 binary64))))))
#s(approx (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 275/1024 binary64) (*.f64 #s(literal -8043/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 39/128 binary64))))))
#s(approx (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 39/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
#s(approx (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 39/128 binary64) (*.f64 #s(literal -275/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64))))
#s(approx (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 39/128 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 8043/32768 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 275/1024 binary64))))) #s(literal 3/8 binary64))))
#s(approx (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 15/64 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64))))
#s(approx (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 15/64 binary64) (*.f64 #s(literal -11/64 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64))))
#s(approx (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 15/64 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 279/2048 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/64 binary64))))) #s(literal 3/8 binary64))))
#s(approx (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/32 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))))
#s(approx (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (*.f64 #s(literal -11/96 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64))))
#s(approx (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 93/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/96 binary64))))) #s(literal 1/4 binary64))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) #s(literal 1 binary64))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) #s(literal 3 binary64))
#s(approx (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+.f64 #s(literal 3 binary64) (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 35/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
#s(approx (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 35/128 binary64) (*.f64 #s(literal -229/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) #s(literal 2 binary64))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 35/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/8 binary64)))))
#s(approx (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 35/128 binary64) (*.f64 #s(literal -229/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/8 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x))))
#s(approx (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) x)))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x))) x))))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)))
#s(approx (/ 1 (sqrt (+ (* x x) 1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 3/2 (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1 (sqrt (+ (* x x) 1))) -1) (/ 1 (sqrt (+ (* x x) 1))) -1)
5.0ms
x
@inf
((/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 3/2 (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1 (sqrt (+ (* x x) 1))) -1) (/ 1 (sqrt (+ (* x x) 1))) -1)
4.0ms
x
@-inf
((/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1) (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2) (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x 1 3/2 (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1) (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1 (sqrt (+ (* x x) 1))) -1) (/ 1 (sqrt (+ (* x x) 1))) -1)

rewrite196.0ms (3.7%)

Memory
15.8MiB live, 205.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040348
067303
1390241
03927226
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
32 → 918
Calls
Call 1
Inputs
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal 3/2 binary64)
(+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal -1 binary64)
Outputs
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
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(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sin.f64 (+.f64 (atan.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (atan.f64 x)))
(cos.f64 (fabs.f64 (atan.f64 x)))
(cos.f64 (atan.f64 (fabs.f64 x)))
(cos.f64 (atan.f64 (neg.f64 x)))
(cos.f64 (atan.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(literal -1 binary64)

eval227.0ms (4.3%)

Memory
-6.5MiB live, 361.8MiB allocated; 107ms collecting garbage
Compiler

Compiled 25 545 to 6 404 computations (74.9% saved)

prune38.0ms (0.7%)

Memory
22.4MiB live, 74.6MiB allocated; 11ms collecting garbage
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1 305121 317
Fresh617
Picked415
Done000
Total1 315141 329
Accuracy
100.0%
Counts
1 329 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
52.4%
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
77.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
77.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
51.8%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
49.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
27.6%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
50.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
77.3%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
52.3%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
48.5%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.3%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 618 to 478 computations (22.7% saved)

series47.0ms (0.9%)

Memory
-27.4MiB live, 63.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08896272
Stop Event
iter-limit
Counts
33 → 147
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(literal -1 binary64)
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
Outputs
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/2 binary64) (*.f64 #s(literal -17/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/256 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/32 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) #s(literal 1 binary64))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/2 (/ 1 x))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ 1 (* 1/2 (/ 1 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
#s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1173/32768 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 49/1024 binary64))))) #s(literal 1/8 binary64))))
#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) #s(literal -1 binary64))
#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 9/128 binary64) (*.f64 #s(literal -49/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))) #s(literal 1 binary64)))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
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#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 7 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (*.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) (sqrt.f64 #s(literal 1/2 binary64))))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@0
((/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+ 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (- 1 (pow 1/2 3/2)) (+ 3/2 (sqrt 1/2))) (- 1 (pow 1/2 3/2)) (pow 1/2 3/2) 3/2 (+ 3/2 (sqrt 1/2)) (* (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) -1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))
5.0ms
x
@inf
((/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+ 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (- 1 (pow 1/2 3/2)) (+ 3/2 (sqrt 1/2))) (- 1 (pow 1/2 3/2)) (pow 1/2 3/2) 3/2 (+ 3/2 (sqrt 1/2)) (* (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) -1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))
4.0ms
x
@-inf
((/ 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))) 1 (/ 1 (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (- 1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+ 1 (* 1/2 (/ 1 x))) (* 1/2 (/ 1 x)) (/ 1 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/ (- 1 (pow 1/2 3/2)) (+ 3/2 (sqrt 1/2))) (- 1 (pow 1/2 3/2)) (pow 1/2 3/2) 3/2 (+ 3/2 (sqrt 1/2)) (* (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)))) (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) -1 (neg (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))))

rewrite192.0ms (3.6%)

Memory
17.0MiB live, 200.8MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056341
082255
1500234
05301221
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
33 → 783
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
#s(literal -1 binary64)
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
Outputs
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -3/2 binary64)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))))
(*.f64 (neg.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 3/2 binary64)) (neg.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -3/2 binary64)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -3/2 binary64)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
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(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) #s(literal 3/2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
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#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))

eval146.0ms (2.8%)

Memory
23.5MiB live, 257.8MiB allocated; 31ms collecting garbage
Compiler

Compiled 17 691 to 4 914 computations (72.2% saved)

prune57.0ms (1.1%)

Memory
-78.5MiB live, 57.7MiB allocated; 74ms collecting garbage
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 00871 015
Fresh178
Picked415
Done011
Total1 013161 029
Accuracy
100.0%
Counts
1 029 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
52.3%
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
77.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
77.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
51.8%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
49.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
27.6%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
77.3%
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
50.2%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
49.5%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
50.3%
(*.f64 #s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
51.1%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
48.5%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.3%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
Compiler

Compiled 703 to 555 computations (21.1% saved)

series47.0ms (0.9%)

Memory
47.1MiB live, 93.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010097094
Stop Event
iter-limit
Counts
43 → 174
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64))))
(*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 4/7 binary64)
(-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 3/2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/1024 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/128 binary64))))))
#s(approx (/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 69/1024 binary64) (*.f64 #s(literal -1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 11/128 binary64))))))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 11/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/2 binary64) (*.f64 #s(literal -17/32 binary64) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 69/256 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/32 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64))))
#s(approx (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1843/32768 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 69/1024 binary64))))) #s(literal 1/8 binary64))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) #s(literal 1 binary64))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 11/128 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))
#s(approx (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 11/128 binary64) (*.f64 #s(literal -69/1024 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/8 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/16 binary64) (*.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/4 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) 1)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64)))))))
#s(approx (+ (* x x) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx x x)
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))))))))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/16 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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#s(approx (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) x)))))
#s(approx (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1/2 x) -1) (/ 1/2 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- (* 4/7 (- 3/2 (sqrt 1/2))) (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2))) (* 4/7 (- 3/2 (sqrt 1/2))) 4/7 (- 3/2 (sqrt 1/2)) 3/2 (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2)) (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2) -3/2 (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1)) (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
5.0ms
x
@-inf
((/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1/2 x) -1) (/ 1/2 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- (* 4/7 (- 3/2 (sqrt 1/2))) (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2))) (* 4/7 (- 3/2 (sqrt 1/2))) 4/7 (- 3/2 (sqrt 1/2)) 3/2 (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2)) (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2) -3/2 (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1)) (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)))
3.0ms
x
@0
((/ 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1))) 1 (/ -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1)) -1 (- (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) 1) (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2)) (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (/ 1/2 (sqrt (+ (* x x) 1))) 1/2 (sqrt (+ (* x x) 1)) (+ (* x x) 1) x -1/2 (- 1 (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2))) (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2) (/ 1/2 (sqrt (+ (* x x) 1))) (/ -1/2 x) (+ (* (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)))) 1) (sqrt 1/2) (neg (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1))) (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (- (/ 1/2 x) -1) (/ 1/2 x) (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (- (* 4/7 (- 3/2 (sqrt 1/2))) (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2))) (* 4/7 (- 3/2 (sqrt 1/2))) 4/7 (- 3/2 (sqrt 1/2)) 3/2 (/ (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2)) (* (sqrt 1/2) 1/2) (- (sqrt 1/2) -3/2) -3/2 (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2) (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (- 1 (/ 1 x)) (/ 1 x) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1)) (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1) (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)))

rewrite254.0ms (4.8%)

Memory
10.6MiB live, 327.4MiB allocated; 62ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065474
099387
1591345
26218345
08335336
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 920
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal -1/2 binary64)
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))
#s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
#s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64))))
(*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(literal 4/7 binary64)
(-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 3/2 binary64)
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
#s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
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(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))

eval155.0ms (2.9%)

Memory
2.0MiB live, 233.6MiB allocated; 46ms collecting garbage
Compiler

Compiled 20 851 to 5 493 computations (73.7% saved)

prune60.0ms (1.1%)

Memory
-33.0MiB live, 69.0MiB allocated; 46ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 06151 066
Fresh369
Picked325
Done022
Total1 067151 082
Accuracy
100.0%
Counts
1 082 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.3%
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
51.3%
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
50.2%
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
77.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
77.3%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
49.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
51.8%
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
51.5%
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
27.6%
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
77.3%
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
50.2%
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
50.3%
(*.f64 #s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
48.5%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
50.3%
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
52.3%
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
Compiler

Compiled 868 to 457 computations (47.4% saved)

regimes67.0ms (1.3%)

Memory
14.4MiB live, 106.7MiB allocated; 13ms collecting garbage
Counts
37 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -11/128 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

7 calls:

12.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
12.0ms
(hypot.f64 #s(literal 1 binary64) x)
10.0ms
x
10.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
7.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
100.0%2(hypot.f64 #s(literal 1 binary64) x)
100.0%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
100.0%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
100.0%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes61.0ms (1.2%)

Memory
-8.9MiB live, 91.2MiB allocated; 16ms collecting garbage
Counts
32 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Outputs
(*.f64 #s(approx (+ (/ -1 (sqrt (- (/ 1/2 (sqrt (+ (* x x) 1))) -1/2))) 1) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

7 calls:

13.0ms
(hypot.f64 #s(literal 1 binary64) x)
11.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
8.0ms
x
8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
99.8%2(hypot.f64 #s(literal 1 binary64) x)
99.8%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.8%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.8%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.8%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.8%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.8%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes49.0ms (0.9%)

Memory
34.5MiB live, 80.0MiB allocated; 5ms collecting garbage
Counts
28 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
Calls

7 calls:

10.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
8.0ms
x
7.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(hypot.f64 #s(literal 1 binary64) x)
6.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
99.8%2(hypot.f64 #s(literal 1 binary64) x)
99.8%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.8%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.8%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.8%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.8%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.8%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes70.0ms (1.3%)

Memory
-14.6MiB live, 77.3MiB allocated; 10ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64)))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (+.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
Calls

7 calls:

29.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
12.0ms
x
6.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
5.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
99.1%2(hypot.f64 #s(literal 1 binary64) x)
99.1%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.1%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.1%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.1%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.1%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.1%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes35.0ms (0.7%)

Memory
4.3MiB live, 56.8MiB allocated; 5ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) #s(literal 1 binary64))
#s(approx (/ (neg (- (exp (* (log (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 3/2)) 1)) (+ (+ (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) 1)) (-.f64 (*.f64 #s(literal 4/7 binary64) (-.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -3/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
Calls

7 calls:

7.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
5.0ms
x
5.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
4.0ms
(hypot.f64 #s(literal 1 binary64) x)
4.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
Results
AccuracySegmentsBranch
99.1%2(hypot.f64 #s(literal 1 binary64) x)
99.1%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
99.1%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
99.1%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
99.1%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
99.1%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
99.1%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes37.0ms (0.7%)

Memory
11.0MiB live, 56.9MiB allocated; 2ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))
Calls

7 calls:

7.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
5.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
4.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
77.3%1(hypot.f64 #s(literal 1 binary64) x)
77.3%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
77.3%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
77.3%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
77.3%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
77.3%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
77.3%1x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes55.0ms (1%)

Memory
7.2MiB live, 53.4MiB allocated; 4ms collecting garbage
Counts
11 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* 1 1) (* x x)))) (/.f64 #s(literal 1 binary64) x))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 #s(approx (sqrt (- (/ 1 (sqrt (+ (* x x) 1))) -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
Outputs
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
Calls

7 calls:

21.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
6.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
6.0ms
x
5.0ms
(hypot.f64 #s(literal 1 binary64) x)
5.0ms
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
76.6%2x
76.6%2(hypot.f64 #s(literal 1 binary64) x)
76.6%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
76.6%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
76.6%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
76.6%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
76.6%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes15.0ms (0.3%)

Memory
-13.5MiB live, 33.0MiB allocated; 2ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(approx (/ 1/2 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1/2 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
#s(approx (* (- 1 (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) (/ 1 (+ (sqrt (* (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))) 1/2)) 1))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
Calls

7 calls:

4.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
2.0ms
(hypot.f64 #s(literal 1 binary64) x)
2.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
2.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
76.3%2(hypot.f64 #s(literal 1 binary64) x)
76.3%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
76.3%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
76.3%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
76.3%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
76.3%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
76.6%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes16.0ms (0.3%)

Memory
-27.3MiB live, 21.6MiB allocated; 10ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) #s(literal 1/2 binary64))))
Calls

7 calls:

8.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
x
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
Results
AccuracySegmentsBranch
75.5%2(hypot.f64 #s(literal 1 binary64) x)
75.5%2(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
75.5%2(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
75.5%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
75.5%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
75.5%2(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
75.8%2x
Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes7.0ms (0.1%)

Memory
17.7MiB live, 17.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
x
1.0ms
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
1.0ms
(hypot.f64 #s(literal 1 binary64) x)
1.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
Results
AccuracySegmentsBranch
27.6%1(hypot.f64 #s(literal 1 binary64) x)
27.6%1(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
27.6%1(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
27.6%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))
27.6%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))
27.6%1(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
27.6%1x
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch26.0ms (0.5%)

Memory
-2.5MiB live, 44.5MiB allocated; 2ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
1.4816144486072554e-5
4.047920404007436
Samples
17.0ms128×1valid
1.0ms16×0valid
Compiler

Compiled 344 to 310 computations (9.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-hypot: 6.0ms (42.3% of total)
adjust: 2.0ms (14.1% of total)
ival-sqrt: 2.0ms (14.1% of total)
ival-sub!: 1.0ms (7% of total)
ival-add!: 1.0ms (7% of total)
ival-div!: 1.0ms (7% of total)
ival-mult!: 1.0ms (7% of total)

bsearch23.0ms (0.4%)

Memory
-14.4MiB live, 31.7MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
1.4816144486072554e-5
4.047920404007436
Samples
14.0ms112×1valid
Compiler

Compiled 407 to 382 computations (6.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-hypot: 4.0ms (36.5% of total)
adjust: 2.0ms (18.3% of total)
ival-sqrt: 2.0ms (18.3% of total)
ival-sub!: 1.0ms (9.1% of total)
ival-add!: 1.0ms (9.1% of total)
ival-div!: 1.0ms (9.1% of total)
ival-mult!: 1.0ms (9.1% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4816144486072554e-5
4.047920404007436
Compiler

Compiled 308 to 283 computations (8.1% saved)

bsearch2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4816144486072554e-5
4.047920404007436
Compiler

Compiled 290 to 301 computations (-3.8% saved)

bsearch1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4816144486072554e-5
4.047920404007436
Compiler

Compiled 263 to 274 computations (-4.2% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7873469694475016
0.9999999999725602
Compiler

Compiled 15 to 14 computations (6.7% saved)

bsearch31.0ms (0.6%)

Memory
10.9MiB live, 57.3MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
5.013362506815225e-83
3.124930327506644e-75
Samples
20.0ms144×1valid
Compiler

Compiled 398 to 346 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-hypot: 7.0ms (42.8% of total)
adjust: 3.0ms (18.4% of total)
ival-div!: 2.0ms (12.2% of total)
ival-sqrt: 2.0ms (12.2% of total)
ival-add!: 1.0ms (6.1% of total)
ival-sub!: 1.0ms (6.1% of total)
ival-mult!: 1.0ms (6.1% of total)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
5.013362506815225e-83
3.124930327506644e-75
Compiler

Compiled 281 to 292 computations (-3.9% saved)

derivations303.0ms (5.7%)

Memory
-12.7MiB live, 226.8MiB allocated; 32ms collecting garbage
Stop Event
fuel
Compiler

Compiled 169 to 95 computations (43.8% saved)

preprocess99.0ms (1.9%)

Memory
3.0MiB live, 281.0MiB allocated; 31ms collecting garbage
Remove

(abs x)

Compiler

Compiled 789 to 632 computations (19.9% saved)

end0.0ms (0%)

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

Profiling

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