sqrt times

Time bar (total: 2.4s)

start0.0ms (0.0%)

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

analyze1.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%100.0%0.0%0.0%0.0%0.0%0
0.0%0.0%100.0%0.0%0.0%0.0%0.0%1
0.0%0.0%50.0%0.0%0.0%50.0%0.0%2
50.0%25.0%25.0%0.0%0.0%50.0%0.0%3
66.7%25.0%12.5%0.0%0.0%62.5%0.0%4
80.0%25.0%6.2%0.0%0.0%68.7%0.0%5
88.9%25.0%3.1%0.0%0.0%71.8%0.0%6
94.1%25.0%1.6%0.0%0.0%73.4%0.0%7
97.0%25.0%0.8%0.0%0.0%74.2%0.0%8
98.5%25.0%0.4%0.0%0.0%74.6%0.0%9
99.2%25.0%0.2%0.0%0.0%74.8%0.0%10
99.6%25.0%0.1%0.0%0.0%74.9%0.0%11
99.8%25.0%0.0%0.0%0.0%74.9%0.0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample830.0ms (34.6%)

Memory
71.5MiB live, 617.4MiB allocated; 876ms collecting garbage
Samples
630.0ms8 249×0valid
1.0ms1valid
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 499.0ms
ival-sqrt: 432.0ms (86.6% of total)
ival-mult!: 38.0ms (7.6% of total)
ival-sub!: 27.0ms (5.4% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess60.0ms (2.5%)

Memory
-17.1MiB live, 34.7MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221
14221
29219
332319
4161619
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

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

Compiled 3 to 3 computations (0.0% saved)

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

series16.0ms (0.7%)

Memory
-17.4MiB live, 28.3MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152640
Stop Event
iter-limit
Counts
6 → 26
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (- x 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (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) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 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 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 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 4 binary64)))))) (pow.f64 x #s(literal 4 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) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x 1)) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x 1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (- x 1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/16 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- x 1) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/16 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (- x 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
Calls

3 calls:

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

rewrite132.0ms (5.5%)

Memory
-14.8MiB live, 179.0MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01017
14217
210717
329717
4152917
0419417
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 343
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)
Outputs
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (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 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (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 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 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)))) x)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.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)))) x) #s(literal 1/2 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))) x) #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 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))

eval39.0ms (1.6%)

Memory
44.9MiB live, 89.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 5 511 to 1 346 computations (75.6% saved)

prune11.0ms (0.5%)

Memory
-28.5MiB live, 16.7MiB allocated; 7ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3585363
Fresh000
Picked011
Done000
Total3586364
Accuracy
99.9%
Counts
364 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
99.8%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
99.3%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
67.6%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
97.6%
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
53.6%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
Compiler

Compiled 111 to 84 computations (24.3% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
-2
(sqrt 2)
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 6 computations (14.3% saved)

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

series71.0ms (2.9%)

Memory
17.4MiB live, 71.6MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07554132
Stop Event
iter-limit
Counts
25 → 127
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (sqrt (- x 1)) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (- x 1)) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (* (- x 1) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt (* (- x 1) x)) (+.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))))))
#s(approx (sqrt (* (- x 1) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.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))))))))
#s(approx (sqrt (* (- x 1) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* (- x 1) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (- x 1) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (+.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))) (/.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (* 2 x) -2) #s(literal -2 binary64))
#s(approx (+ (* 2 x) -2) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 x))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 x (*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 x)))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 5 binary64))))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))))))))
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#s(approx (* (- x 1) (sqrt x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (* (- x 1) (sqrt x)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 x (sqrt.f64 x))))
#s(approx (sqrt (sqrt x)) (sqrt.f64 (sqrt.f64 x)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
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#s(approx (/ (- x 1) (sqrt (- x 1))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
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#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x 1)) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
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#s(approx (sqrt (* (- x 1) x)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))
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#s(approx (* (- x 1) x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (- x 1) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
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#s(approx (* (sqrt (- x 1)) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 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 4 binary64)))))) (pow.f64 x #s(literal 4 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) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
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#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x)))))
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#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) -2) (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (sqrt (* (- x 1) (sqrt x))) (*.f64 x (+.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
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#s(approx (* (- x 1) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (sqrt (sqrt x)) (*.f64 x (sqrt.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
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#s(approx (/ (- x 1) (sqrt (- x 1))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (- x 1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/16 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 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (sqrt (* (- x 1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) x))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) x))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) x))))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))))
#s(approx (* (sqrt (* (- x 1) (sqrt x))) (sqrt (sqrt x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 5 binary64)))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))))) x))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) #s(literal 5 binary64)))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x))))))
#s(approx (* (- x 1) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (- x 1) (sqrt x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (sqrt (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
Calls

3 calls:

TimeVariablePoint
7.0ms
x
0
5.0ms
x
-inf
4.0ms
x
inf

rewrite167.0ms (7.0%)

Memory
25.0MiB live, 297.7MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027137
048147
1153147
2515123
32107119
04620119
Stop Event
iter-limit
node-limit
iter-limit
Counts
25 → 1 861
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 x)
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(sqrt.f64 (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (pow.f64 (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x) x)) (sqrt.f64 #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x) (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 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(pow.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
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(-.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(-.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (neg.f64 (sqrt.f64 x))))
(-.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x))
(sqrt.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x)))
(+.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(sqrt.f64 (sqrt.f64 x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (sqrt.f64 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))

eval292.0ms (12.2%)

Memory
-2.3MiB live, 431.8MiB allocated; 82ms collecting garbage
Compiler

Compiled 31 597 to 5 679 computations (82.0% saved)

prune33.0ms (1.4%)

Memory
-3.4MiB live, 91.9MiB allocated; 17ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 64521 647
Fresh000
Picked415
Done101
Total1 65031 653
Accuracy
100.0%
Counts
1 653 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 6369051672525773/4503599627370496 binary64))
53.6%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
98.3%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 34 to 25 computations (26.5% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
2
-2
6369051672525773/4503599627370496
Outputs
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

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

series38.0ms (1.6%)

Memory
-11.5MiB live, 34.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02851380
Stop Event
iter-limit
Counts
13 → 51
Calls
Call 1
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 6369051672525773/4503599627370496 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64))
#s(approx (* x (- 1 (/ 1 x))) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (- 1 (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- 1 (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (* 2 x) -2) #s(literal -2 binary64))
#s(approx (+ (* 2 x) -2) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 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 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))
#s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))
#s(approx (- 1 (/ 1 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) -2) (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.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) (*.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) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (/ (sqrt (* (+ (* 2 x) -2) x)) 6369051672525773/4503599627370496) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) x))))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
Calls

3 calls:

TimeVariablePoint
25.0ms
x
0
1.0ms
x
-inf
1.0ms
x
inf

rewrite167.0ms (7.0%)

Memory
-16.3MiB live, 266.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01865
02665
113057
247153
3206852
0506052
Stop Event
iter-limit
node-limit
iter-limit
Counts
13 → 654
Calls
Call 1
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 6369051672525773/4503599627370496 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) x)
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 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 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.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)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.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) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (-.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 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 x (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(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 (*.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 #s(literal -2 binary64) x))) (+.f64 x x))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal -4 binary64))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -6369051672525773/4503599627370496 binary64)) #s(literal 0 binary64)) #s(literal -6369051672525773/2251799813685248 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 0 binary64)) #s(literal 6369051672525773/2251799813685248 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal -6369051672525773/4503599627370496 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal -6369051672525773/4503599627370496 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64))) x)
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
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(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (-.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64)))) (-.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 #s(literal -2 binary64) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (-.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
(neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 2 binary64)) (neg.f64 x))
(-.f64 (+.f64 x x) #s(literal 2 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 x) #s(literal -2 binary64)))
(-.f64 x (+.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 x (neg.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal 2 binary64)) x)
(+.f64 (+.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
(+.f64 x (-.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 6369051672525773/4503599627370496 binary64)

eval127.0ms (5.3%)

Memory
28.2MiB live, 231.8MiB allocated; 37ms collecting garbage
Compiler

Compiled 15 351 to 2 732 computations (82.2% saved)

prune26.0ms (1.1%)

Memory
3.2MiB live, 46.2MiB allocated; 8ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New6913694
Fresh000
Picked202
Done011
Total6934697
Accuracy
100.0%
Counts
697 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
53.6%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
98.3%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
1.1%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
Compiler

Compiled 51 to 36 computations (29.4% saved)

sample0.0ms (0.0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1
2
-2
4503599627370496/6369051672525773
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 1592262918131443/2251799813685248 binary64)
Samples
0.0ms0valid
Compiler

Compiled 7 to 7 computations (0.0% saved)

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

series43.0ms (1.8%)

Memory
-9.1MiB live, 34.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771335
Stop Event
iter-limit
Counts
14 → 46
Calls
Call 1
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 4503599627370496/6369051672525773 binary64)
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))
#s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64))
#s(approx (* x (- 1 (/ 1 x))) (-.f64 x #s(literal 1 binary64)))
#s(approx x x)
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (+.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal -2 binary64) x))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
#s(approx (+ (* 2 x) -2) #s(literal -2 binary64))
#s(approx (+ (* 2 x) -2) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 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 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* 2 x) -2) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal 2 binary64) x))
#s(approx (+ (* 2 x) -2) (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.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) (*.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) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (* (sqrt (* (+ (* 2 x) -2) x)) 4503599627370496/6369051672525773) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) x) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (sqrt.f64 #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) x))))))
#s(approx (sqrt (* (+ (* 2 x) -2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) x))))))
#s(approx (+ (* 2 x) -2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
Calls

3 calls:

TimeVariablePoint
31.0ms
x
0
1.0ms
x
-inf
1.0ms
x
inf

rewrite140.0ms (5.8%)

Memory
-23.8MiB live, 211.3MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02280
02880
112372
244564
3195562
0467462
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 422
Calls
Call 1
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 4503599627370496/6369051672525773 binary64)
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) x)
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 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 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.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)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.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) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 (-.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 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 x (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(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 (*.f64 #s(literal -2 binary64) x) (*.f64 x (*.f64 #s(literal -2 binary64) x))) (+.f64 x x))
(/.f64 (-.f64 #s(literal -4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))) #s(literal -4 binary64))
(/.f64 (-.f64 (+.f64 x x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 4 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64))) x)
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (+.f64 x x) #s(literal 0 binary64))) (*.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (+.f64 x x) #s(literal 0 binary64))) (*.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x x) #s(literal 0 binary64))) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x x) #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 4 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 0 binary64))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 4 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 x #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -2 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x #s(literal 0 binary64))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 x #s(literal 0 binary64))) x)
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
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(fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) x) (*.f64 x x))
(+.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 2 binary64)) x))
(+.f64 (*.f64 x x) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 (+.f64 x x) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal 2 binary64)))) (-.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 2 binary64)) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) x) (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 1 binary64)))) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) x) (+.f64 x x)) (+.f64 x x))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 x x)) (-.f64 (-.f64 x #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64)))) (-.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (-.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 #s(literal -2 binary64) (+.f64 x x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal -2 binary64) (+.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 #s(literal -2 binary64) #s(literal -2 binary64))) (-.f64 (+.f64 x x) #s(literal -2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 x x) #s(literal 3 binary64)) (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))) (fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 (*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 x x) #s(literal -2 binary64)))))
(neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
(neg.f64 (-.f64 (-.f64 #s(literal 2 binary64) x) x))
(fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 (+.f64 x x) #s(literal 1 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (neg.f64 x) #s(literal -2 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1 binary64) (+.f64 x x) #s(literal -2 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 2 binary64)) (neg.f64 x))
(-.f64 (+.f64 x x) #s(literal 2 binary64))
(-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 x (-.f64 (neg.f64 x) #s(literal -2 binary64)))
(-.f64 x (+.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 x (neg.f64 (-.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))
(+.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal 2 binary64)) x)
(+.f64 (+.f64 x x) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (+.f64 x x))
(+.f64 x (-.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
#s(literal -2 binary64)
#s(literal 4503599627370496/6369051672525773 binary64)

eval56.0ms (2.3%)

Memory
48.0MiB live, 140.7MiB allocated; 21ms collecting garbage
Compiler

Compiled 9 794 to 1 807 computations (81.5% saved)

prune10.0ms (0.4%)

Memory
-17.5MiB live, 27.5MiB allocated; 8ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4550455
Fresh000
Picked033
Done011
Total4554459
Accuracy
100.0%
Counts
459 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
53.6%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
98.3%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
1.1%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
Compiler

Compiled 51 to 36 computations (29.4% saved)

regimes39.0ms (1.6%)

Memory
-18.2MiB live, 79.5MiB allocated; 14ms collecting garbage
Counts
1 → 1
2 → 1
4 → 2
9 → 1
11 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
Call 2
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
Call 3
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Outputs
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
Call 4
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Call 5
Inputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) #s(approx (* x (- 1 (/ 1 x))) #s(literal -1 binary64)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 4503599627370496/6369051672525773 binary64))
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 6369051672525773/4503599627370496 binary64))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
Outputs
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
Calls

10 calls:

10.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
7.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms
x
3.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
1.1%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.1%1x
98.3%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
98.3%1x
100.0%2(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
100.0%2x
99.3%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.3%1x
99.8%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.8%1x
Compiler

Compiled 172 to 81 computations (52.9% saved)

bsearch2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1535499174574733.5
5.693723912666313e+19
Samples
1.0ms16×0valid
Compiler

Compiled 31 to 27 computations (12.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-sqrt: 0.0ms (0.0% of total)
ival-mult!: 0.0ms (0.0% of total)

derivations52.0ms (2.2%)

Memory
15.1MiB live, 60.4MiB allocated; 6ms collecting garbage
Stop Event
done
Compiler

Compiled 79 to 26 computations (67.1% saved)

preprocess41.0ms (1.7%)

Memory
-4.0MiB live, 88.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 244 to 134 computations (45.1% saved)

end0.0ms (0.0%)

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

Profiling

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