sqrt(1 + x) - 1

Time bar (total: 2.7s)

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%50.0%50.0%0.0%0.0%0.0%0
100.0%50.0%0.0%50.0%0.0%0.0%0.0%1
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.2s (45.2%)

Memory
53.3MiB live, 610.6MiB allocated; 285ms collecting garbage
Samples
418.0ms3 478×2valid
405.0ms4 647×1valid
4.0ms126×0valid
1.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 586.0ms
adjust: 240.0ms (40.9% of total)
ival-sqrt: 216.0ms (36.8% of total)
ival-add!: 75.0ms (12.8% of total)
ival-sub!: 56.0ms (9.6% of total)
Bogosity

preprocess43.0ms (1.6%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
13218
26518
320718
4114118
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
Outputs
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

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

series11.0ms (0.4%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122572
Stop Event
iter-limit
Counts
5 → 25
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
#s(approx x x)
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))))))
Calls

3 calls:

TimeVariablePoint
1.0ms
x
inf
1.0ms
x
-inf
0.0ms
x
0

rewrite155.0ms (5.7%)

Memory
-21.5MiB live, 52.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
15115
212515
330015
4133815
0423715
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 370
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
x
(*.f64 (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 8 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (neg.f64 x)) (-.f64 #s(literal 1/2 binary64) (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x))))))
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(/.f64 (-.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))

eval33.0ms (1.2%)

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

Compiled 5 568 to 1 467 computations (73.7% saved)

prune17.0ms (0.6%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3847391
Fresh000
Picked101
Done-110
Total3848392
Accuracy
99.9%
Counts
392 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
9.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
9.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
9.2%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
99.2%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
99.1%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
98.6%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
97.5%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 210 to 159 computations (24.3% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
1/16
-5/128
1/8
-1/8
1
2
-1
-2
Outputs
#s(literal 1/2 binary64)
#s(literal 1/16 binary64)
#s(literal -5/128 binary64)
#s(literal 1/8 binary64)
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal -2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 11 to 11 computations (0.0% saved)

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

series26.0ms (1.0%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03812342
Stop Event
iter-limit
Counts
35 → 97
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
#s(literal 1/16 binary64)
#s(literal -5/128 binary64)
(*.f64 #s(literal -5/128 binary64) x)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
#s(literal 1/8 binary64)
(-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/8 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal 1/16 binary64) x)
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
Outputs
#s(approx x x)
#s(approx (* -5/128 x) (*.f64 #s(literal -5/128 binary64) x))
#s(approx (+ 1/16 (* -5/128 x)) #s(literal 1/16 binary64))
#s(approx (+ 1/16 (* -5/128 x)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
#s(approx (* x (+ 1/16 (* -5/128 x))) (*.f64 #s(literal 1/16 binary64) x))
#s(approx (* x (+ 1/16 (* -5/128 x))) (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))))
#s(approx (- (* x (+ 1/16 (* -5/128 x))) 1/8) #s(literal -1/8 binary64))
#s(approx (- (* x (+ 1/16 (* -5/128 x))) 1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (- (* x (+ 1/16 (* -5/128 x))) 1/8) (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 #s(literal -1/8 binary64) x))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) x))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/4 binary64))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -5/64 binary64) x))) #s(literal 1/4 binary64))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) x))
#s(approx (+ 1/16 (* -5/128 x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (* x (+ 1/16 (* -5/128 x))) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/16 (* -5/128 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (- (* x (+ 1/16 (* -5/128 x))) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ 1/2 (* -1/8 x)) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
#s(approx (* x (+ 1/2 (* -1/8 x))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1/2 (* -1/8 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
#s(approx (- (* 1/16 x) 1/8) (*.f64 x (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (- (* 1/16 x) 1/8)) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (- (* 1/16 x) 1/8)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1/2 (* x (- (* 1/16 x) 1/8))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x))
#s(approx (+ 1/16 (* -5/128 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* x (+ 1/16 (* -5/128 x))) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (* x (+ 1/2 (* x (- (* x (+ 1/16 (* -5/128 x))) 1/8)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))))))
#s(approx (+ 1/2 (* -1/8 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (* 1/16 x) 1/8) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)))))
#s(approx (+ 1/2 (* x (- (* 1/16 x) 1/8))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
#s(approx (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)))))
#s(approx (* x (+ 1/2 (* x (- (* 1/16 x) 1/8)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (* 2 (sqrt (- x -1))) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
Calls

3 calls:

TimeVariablePoint
5.0ms
x
inf
4.0ms
x
-inf
3.0ms
x
0

rewrite202.0ms (7.5%)

Memory
-109.4MiB live, 99.8MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038224
060222
1304219
21033219
33552219
04012192
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 870
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
#s(literal 1/16 binary64)
#s(literal -5/128 binary64)
(*.f64 #s(literal -5/128 binary64) x)
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
#s(literal 1/8 binary64)
(-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))
(*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/8 binary64) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(*.f64 #s(literal 1/16 binary64) x)
(-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))
(*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
Outputs
x
#s(literal 1/2 binary64)
#s(literal 1/16 binary64)
#s(literal -5/128 binary64)
(*.f64 #s(literal 5/128 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 5/128 binary64))
(*.f64 #s(literal -5/128 binary64) x)
(*.f64 x #s(literal -5/128 binary64))
(neg.f64 (*.f64 #s(literal 5/128 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal -1/16 binary64) #s(literal -1/16 binary64))) (+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/16 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (fma.f64 #s(literal -1/16 binary64) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 5/128 binary64) x))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))))
(neg.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)))
(fma.f64 #s(literal 5/128 binary64) (neg.f64 x) #s(literal 1/16 binary64))
(fma.f64 (neg.f64 x) #s(literal 5/128 binary64) #s(literal 1/16 binary64))
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x))
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) (*.f64 #s(literal 1/16 binary64) x))) (*.f64 #s(literal 1/16 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 #s(literal 1/16 binary64) x))) (*.f64 #s(literal 1/16 binary64) x))
(*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)
(*.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 #s(literal 1/16 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x))) (+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x) (fma.f64 (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))) (-.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x)))))
(neg.f64 (*.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal -5/128 binary64) (*.f64 #s(literal 1/16 binary64) x))
(fma.f64 (*.f64 #s(literal -5/128 binary64) x) x (*.f64 #s(literal 1/16 binary64) x))
(fma.f64 #s(literal -5/128 binary64) (*.f64 x x) (*.f64 #s(literal 1/16 binary64) x))
(fma.f64 #s(literal 1/16 binary64) x (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(fma.f64 x (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal 1/16 binary64) x))
(fma.f64 x #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 #s(literal -1/16 binary64) x))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (*.f64 #s(literal 1/16 binary64) x))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
#s(literal 1/8 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/16 binary64) x))) (*.f64 #s(literal 1/16 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))) #s(literal -1/8 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)))) (-.f64 (*.f64 #s(literal 1/16 binary64) x) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))) (-.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (*.f64 #s(literal 1/16 binary64) x) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) x) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (-.f64 (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (*.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (+.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/8 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) (fma.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64)))))
(neg.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)) x #s(literal 1/8 binary64)))
(fma.f64 (*.f64 x x) #s(literal -5/128 binary64) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (*.f64 #s(literal -5/128 binary64) x) x (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(fma.f64 #s(literal -5/128 binary64) (*.f64 x x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(fma.f64 #s(literal 1/16 binary64) x (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)))
(fma.f64 x (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) #s(literal -1/8 binary64))
(fma.f64 x (*.f64 #s(literal -5/128 binary64) x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(fma.f64 x #s(literal 1/16 binary64) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)))
(-.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal 5/128 binary64) x) x))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 5/128 binary64) x) x) #s(literal -1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) (fma.f64 (*.f64 x x) #s(literal 5/128 binary64) #s(literal 1/8 binary64)))
(-.f64 (*.f64 #s(literal 1/16 binary64) x) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64))))
(-.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)) x))
(-.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal 1/8 binary64))
(+.f64 (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/16 binary64) x))
(+.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) x) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))
(+.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) x) x))
(+.f64 (*.f64 #s(literal 1/16 binary64) x) (fma.f64 (*.f64 x x) #s(literal -5/128 binary64) #s(literal -1/8 binary64)))
(+.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(+.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)) x #s(literal 1/8 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 5/128 binary64) x #s(literal -1/16 binary64)) x #s(literal 1/8 binary64)))
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(fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64))))))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal -2 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))))
(+.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))

eval96.0ms (3.5%)

Memory
1.4MiB live, 75.7MiB allocated; 13ms collecting garbage
Compiler

Compiled 20 745 to 4 057 computations (80.4% saved)

prune22.0ms (0.8%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New9347941
Fresh112
Picked505
Done-121
Total93910949
Accuracy
99.9%
Counts
949 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
9.3%
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
9.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
97.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
9.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
9.2%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
98.7%
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
99.2%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
98.6%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
97.5%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 248 to 185 computations (25.4% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-5/128
1/16
-1/8
1/2
1
2
-1
(* 1 1)
Outputs
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 12 to 10 computations (16.7% saved)

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

series22.0ms (0.8%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03522181
Stop Event
iter-limit
Counts
29 → 87
Calls
Call 1
Inputs
x
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -1/8 binary64)
(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx x x)
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* -5/128 x) 1/16) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (/ 2 x) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) x))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ (sqrt (- x -1)) 1) #s(literal 2 binary64))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -5/128 binary64) x))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 5/128 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) x))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x))
#s(approx (+ (* (* x x) -1/8) (* 1/2 x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (* x x) -1/8) (* 1/2 x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))))))
#s(approx (+ (sqrt (- x -1)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x))) x))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- (- x -1) (* 1 1)) (+ (sqrt (- x -1)) 1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
Calls

3 calls:

TimeVariablePoint
4.0ms
x
-inf
3.0ms
x
inf
1.0ms
x
0

rewrite164.0ms (6.0%)

Memory
-116.0MiB live, 114.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038177
062167
1323163
21038163
04105155
Stop Event
iter-limit
node-limit
iter-limit
Counts
29 → 1 062
Calls
Call 1
Inputs
x
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
#s(literal -1/8 binary64)
(fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
#s(literal 1/2 binary64)
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(literal 1 binary64)
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal 1/2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
Outputs
x
#s(literal -5/128 binary64)
#s(literal 1/16 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal -5/128 binary64)) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 #s(literal -5/128 binary64) x)) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))) #s(literal 1/16 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) (*.f64 #s(literal -5/128 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) (*.f64 #s(literal -5/128 binary64) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 5/128 binary64) x))) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 (neg.f64 x) #s(literal -5/128 binary64)) (*.f64 (neg.f64 x) #s(literal -5/128 binary64)))) (+.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 x) #s(literal -5/128 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -5/128 binary64) x)) (neg.f64 (*.f64 #s(literal -5/128 binary64) x)))) (+.f64 #s(literal 1/16 binary64) (neg.f64 (*.f64 #s(literal -5/128 binary64) x))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 5/128 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 5/128 binary64) x) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) #s(literal -5/128 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal -5/128 binary64)) (*.f64 (neg.f64 x) #s(literal -5/128 binary64)) (*.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 x) #s(literal -5/128 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -5/128 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (fma.f64 (neg.f64 (*.f64 #s(literal -5/128 binary64) x)) (neg.f64 (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) (neg.f64 (*.f64 #s(literal -5/128 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal -1/16 binary64) #s(literal -1/16 binary64))) (+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1/16 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (fma.f64 #s(literal -1/16 binary64) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x)) (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1/16 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -5/128 binary64) x) (*.f64 #s(literal -5/128 binary64) x) (-.f64 (*.f64 #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64)))))
(neg.f64 (-.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
(fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))
(fma.f64 x #s(literal -5/128 binary64) #s(literal 1/16 binary64))
(-.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal -1/16 binary64))
(-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) x))
(-.f64 #s(literal 1/16 binary64) (*.f64 (neg.f64 x) #s(literal -5/128 binary64)))
(-.f64 #s(literal 1/16 binary64) (neg.f64 (*.f64 #s(literal -5/128 binary64) x)))
(+.f64 (*.f64 #s(literal -5/128 binary64) x) #s(literal 1/16 binary64))
(+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))
#s(literal -1/8 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x) #s(literal -1/8 binary64))) #s(literal -1/8 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))) #s(literal -1/8 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal -1/8 binary64))) #s(literal -1/8 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x) #s(literal -1/8 binary64))) #s(literal -1/8 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))) (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x))) (+.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)))) (+.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))))
(/.f64 (-.f64 (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64) (fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x) (*.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64) (fma.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (*.f64 (neg.f64 x) (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)))))))
(/.f64 (-.f64 (pow.f64 #s(literal -1/8 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/8 binary64) #s(literal -1/8 binary64) (fma.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x)) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x))))))
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(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (/.f64 (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 (/.f64 (+.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64)) (/.f64 (+.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))
(+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))))
(+.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

eval70.0ms (2.6%)

Memory
69.2MiB live, 69.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 21 575 to 3 409 computations (84.2% saved)

prune31.0ms (1.1%)

Memory
-60.0MiB live, 18.3MiB allocated; 7ms collecting garbage
Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New8295834
Fresh213
Picked505
Done-462
Total83212844
Accuracy
100.0%
Counts
844 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
9.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
9.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
97.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
9.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
97.0%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
9.2%
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
98.7%
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
99.2%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
98.6%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
97.5%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 306 to 226 computations (26.1% saved)

sample0.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
-1/8
1/2
1/16
(E)
(/ 1 (E))
(/ (/ 1 (E)) 1)
2
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
#s(literal 1/16 binary64)
#s(literal 6121026514868073/2251799813685248 binary64)
#s(literal 828390857088487/2251799813685248 binary64)
#s(literal 828390857088487/2251799813685248 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 17 to 11 computations (35.3% saved)

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

series27.0ms (1.0%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05353275
Stop Event
iter-limit
Counts
32 → 122
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
#s(literal -1/8 binary64)
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(literal 1/16 binary64)
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
(fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(E.f64)
(/.f64 #s(literal 1 binary64) (E.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
(/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
Outputs
#s(approx x x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- (sqrt (- x -1)) -1) #s(literal 2 binary64))
#s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))))
#s(approx (- (sqrt (- x -1)) -1) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
#s(approx (/ x (- (sqrt (- x -1)) -1)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))) x))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) x))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x)))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64)))))
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
#s(approx (+ (* -5/128 x) 1/16) (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x)))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (E.f64))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (*.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (E.f64)))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (E.f64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (E.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 x (E.f64))))))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (E.f64) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (E.f64) (*.f64 x (fma.f64 #s(literal -5/128 binary64) (*.f64 x (E.f64)) (*.f64 #s(literal 1/16 binary64) (E.f64)))))))))
#s(approx (/ 1 (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
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#s(approx (/ x (- (sqrt (- x -1)) -1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) x))))
#s(approx (/ 1 (/ x (- (sqrt (- x -1)) -1))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) #s(literal 1 binary64)) x))))
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/128 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x))))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (* (+ (* (+ (* (+ (* -5/128 x) 1/16) x) -1/8) x) 1/2) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/16 binary64)) x)) #s(literal 5/128 binary64))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) #s(literal 1 binary64)) x))))))
#s(approx (+ (* -5/128 x) 1/16) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 5/128 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (E.f64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 (E.f64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (E.f64) x)))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (E.f64) (*.f64 #s(literal -1/2 binary64) (/.f64 (E.f64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (*.f64 (E.f64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (E) (/ 2 (+ (* 2 (sqrt (- x -1))) -2))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (E.f64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (E.f64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (E.f64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))) x) (*.f64 (E.f64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ 1 (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x)))
#s(approx (/ 1 (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 7 binary64))))))) x)))
#s(approx (- 1 (/ 1 (sqrt (- x -1)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- 1 (/ 1 (sqrt (- x -1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (- 1 (/ 1 (sqrt (- x -1)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))
Calls

3 calls:

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

rewrite191.0ms (7.0%)

Memory
37.3MiB live, 193.2MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046272
069255
1372247
21297247
04245228
Stop Event
iter-limit
node-limit
iter-limit
Counts
32 → 1 508
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)
(-.f64 x #s(literal -1 binary64))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
#s(literal -1/8 binary64)
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))
#s(literal 1/2 binary64)
(fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(literal 1/16 binary64)
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
(fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64))
(fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(E.f64)
(/.f64 #s(literal 1 binary64) (E.f64))
(/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))
(/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
Outputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64)))))
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (exp.f64 #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64))))
(*.f64 (E.f64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
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#s(literal -1/8 binary64)
#s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))
#s(literal 1/2 binary64)
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(neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x)))
(fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64))
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(-.f64 (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))) x))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64))))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x)))
(+.f64 (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x))
(*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x)
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(fma.f64 (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x) x))
(fma.f64 x (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x)))
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#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(literal 1/16 binary64)
#s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64))
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(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))

eval131.0ms (4.8%)

Memory
-42.3MiB live, 113.8MiB allocated; 25ms collecting garbage
Compiler

Compiled 36 289 to 4 854 computations (86.6% saved)

prune26.0ms (1.0%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1 37241 376
Fresh101
Picked505
Done-176
Total1 377111 388
Accuracy
100.0%
Counts
1 388 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.5%
(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64) #s(literal -1 binary64))
9.2%
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64)) (E.f64))
96.4%
(/.f64 (E.f64) (*.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
97.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
9.3%
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
98.7%
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
99.2%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
99.1%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
98.6%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
97.5%
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 158 to 125 computations (20.9% saved)

regimes56.0ms (2.1%)

Memory
-32.1MiB live, 47.4MiB allocated; 2ms collecting garbage
Counts
3 → 1
7 → 1
8 → 1
14 → 1
24 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
Call 2
Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 (E.f64) (*.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
Outputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
Call 3
Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 (E.f64) (*.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Outputs
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
Call 4
Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 (E.f64) (*.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64)) (E.f64))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
Outputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
Call 5
Inputs
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (+ (* -5/128 x) 1/16) x) -1/8) #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 (E.f64) (*.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
#s(approx (- (sqrt (+ 1 x)) 1) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* -5/128 x) 1/16) #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (E.f64)) (E.f64)) (E.f64))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -2 binary64))))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/128 binary64) x #s(literal 1/16 binary64)) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (E.f64)) #s(literal 1 binary64)) (/.f64 (E.f64) #s(approx (/ 2 (+ (* 2 (sqrt (- x -1))) -2)) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
#s(approx (- (sqrt (+ 1 x)) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -5/128 binary64) x))) #s(literal 1/8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) x))
Calls

20 calls:

5.0ms
x
4.0ms
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
4.0ms
(+.f64 #s(literal 1 binary64) x)
4.0ms
(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
97.5%1(+.f64 #s(literal 1 binary64) x)
97.5%1(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
97.5%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
97.5%1x
98.6%1(+.f64 #s(literal 1 binary64) x)
98.6%1(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
98.6%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
98.6%1x
98.7%1(+.f64 #s(literal 1 binary64) x)
98.7%1(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
98.7%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
98.7%1x
99.1%1(+.f64 #s(literal 1 binary64) x)
99.1%1(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
99.1%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
99.1%1x
99.7%1(+.f64 #s(literal 1 binary64) x)
99.7%1(sqrt.f64 (+.f64 #s(literal 1 binary64) x))
99.7%1(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
99.7%1x
Compiler

Compiled 429 to 184 computations (57.1% saved)

derivations139.0ms (5.1%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 64 to 27 computations (57.8% saved)

preprocess23.0ms (0.8%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 70 to 32 computations (54.3% saved)

end0.0ms (0.0%)

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

Profiling

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