sqrt times

Time bar (total: 2.2s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
3.5MiB live, 3.5MiB 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)

sample809.0ms (36.0%)

Memory
49.3MiB live, 677.5MiB allocated; 856ms collecting garbage
Samples
632.0ms8 249×0valid
1.0ms16×0invalid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-sqrt: 178.0ms (71.2% of total)
ival-mult!: 38.0ms (15.2% of total)
ival-sub!: 33.0ms (13.2% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

preprocess42.0ms (1.9%)

Memory
-23.7MiB live, 25.6MiB 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
99.2%
(*.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
0.5MiB live, 0.5MiB 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)

series13.0ms (0.6%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms 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

rewrite131.0ms (5.8%)

Memory
0.4MiB live, 133.9MiB allocated; 49ms 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))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.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)))

eval86.0ms (3.8%)

Memory
-23.6MiB live, 47.3MiB allocated; 56ms collecting garbage
Compiler

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

prune9.0ms (0.4%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms 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
99.8%
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
99.2%
(*.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
99.2%
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
69.7%
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
96.8%
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
53.4%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
Compiler

Compiled 109 to 82 computations (24.8% saved)

sample0.0ms (0.0%)

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

Compiled 4 to 4 computations (0.0% saved)

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

series38.0ms (1.7%)

Memory
-11.9MiB live, 79.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05953357
Stop Event
iter-limit
Counts
23 → 99
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 (sqrt.f64 (-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.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 (-.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 1/2) 1/2)) (sqrt x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))
#s(approx (* (sqrt (- (- x 1/2) 1/2)) (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 1/2) 1/2)) (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 1/2) 1/2)) (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 (- x 1/2) #s(literal -1/2 binary64))
#s(approx (- x 1/2) (-.f64 x #s(literal 1/2 binary64)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#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)))))))))
#s(approx (sqrt (* (- x 1) (sqrt x))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (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 1/16 binary64) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 5 binary64))))))))))
#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))))
#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 (/ (- 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))))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (- x 1) (sqrt (- x 1))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (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 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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#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
6.0ms
x
inf
4.0ms
x
0
4.0ms
x
-inf

rewrite138.0ms (6.1%)

Memory
36.9MiB live, 268.9MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025130
044141
1154141
2469109
31881109
04253109
Stop Event
iter-limit
node-limit
iter-limit
Counts
23 → 1 603
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 (sqrt.f64 (-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.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 (-.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 (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 (-.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 (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)) (sqrt.f64 (sqrt.f64 x)))
(*.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 (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 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.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 (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 (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 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 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 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.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 (sqrt.f64 x)) (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 (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 (-.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))) (neg.f64 (sqrt.f64 x)))
(*.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)))))
(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)) (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) (fma.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 (fma.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 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(fma.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.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))) (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.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 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.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 (sqrt.f64 x)))) (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 (sqrt.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (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 (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))))))
(fabs.f64 (*.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))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.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)))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (sqrt.f64 x)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (*.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 (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 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (/.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)))))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (neg.f64 (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 (sqrt.f64 (sqrt.f64 x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (sqrt.f64 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 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(+.f64 (*.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(+.f64 (*.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.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 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (sqrt.f64 x)))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.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)) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))) (*.f64 (sqrt.f64 x) x))
(*.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))))))
(*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x)))
(*.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)))))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) #s(literal 1/2 binary64))
(pow.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))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal -3/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (-.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 x) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 x) x) (*.f64 (sqrt.f64 x) x) (-.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (*.f64 (*.f64 (sqrt.f64 x) x) (neg.f64 (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (*.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
(/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.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)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 x) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(fma.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1/2 binary64) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) #s(literal -1 binary64) (*.f64 (sqrt.f64 x) x))
(fma.f64 (sqrt.f64 x) (-.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) x (neg.f64 (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x))
(fma.f64 x (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(-.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))
(-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
(-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (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 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 x #s(literal 1 binary64))))
(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 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)))
(+.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) (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 (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 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) #s(literal -1/2 binary64)) (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)))
(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)))

eval192.0ms (8.5%)

Memory
14.2MiB live, 337.7MiB allocated; 58ms collecting garbage
Compiler

Compiled 27 550 to 4 756 computations (82.7% saved)

prune36.0ms (1.6%)

Memory
-33.7MiB live, 70.8MiB allocated; 41ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 37941 383
Fresh000
Picked415
Done101
Total1 38451 389
Accuracy
100.0%
Counts
1 389 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
53.4%
(sqrt.f64 (fma.f64 x x (neg.f64 x)))
53.4%
(sqrt.f64 (-.f64 (*.f64 x x) x))
53.4%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
97.5%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 47 to 31 computations (34.0% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB 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)

series20.0ms (0.9%)

Memory
-0.6MiB live, 45.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03051393
Stop Event
iter-limit
Counts
16 → 53
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)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(sqrt.f64 (fma.f64 x x (neg.f64 x)))
(fma.f64 x x (neg.f64 x))
(neg.f64 x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 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 (- (* x x) x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt (- (* x x) 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 x) 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 x) 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 x) x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- (* x x) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))))))))
#s(approx (sqrt (/ x (- x 1))) (+.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 (- x 1))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (/ x (- x 1))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) x))))))))
#s(approx (/ x (- x 1)) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
#s(approx (/ x (- x 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))))
#s(approx (/ x (- x 1)) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1 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 (- (* x x) x)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- (* x x) x)) (*.f64 x (+.f64 #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 x) x)) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (* x x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ x (- x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ x (- x 1))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (/ x (- x 1))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
#s(approx (/ x (- x 1)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (- x 1)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (- x 1)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))
#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 (- (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (sqrt (- (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x))) x))))))
#s(approx (sqrt (- (* x x) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #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 (* (- x 1) (sqrt (/ x (- x 1)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))))
#s(approx (* (- x 1) (sqrt (/ x (- x 1)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)))))
#s(approx (sqrt (/ x (- x 1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 5/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64)) x))))
#s(approx (/ x (- x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) x))))
Calls

3 calls:

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

rewrite181.0ms (8.1%)

Memory
0.8MiB live, 232.2MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02187
03687
115475
251971
3199770
0402970
Stop Event
iter-limit
node-limit
iter-limit
Counts
16 → 1 233
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)
(sqrt.f64 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
(sqrt.f64 (fma.f64 x x (neg.f64 x)))
(fma.f64 x x (neg.f64 x))
(neg.f64 x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.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 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (/.f64 #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 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 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) (/.f64 #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 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 2 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 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
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(fabs.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (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 x)) (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 x)) (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 x) (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 (*.f64 (sqrt.f64 x) (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 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (/.f64 (neg.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 x) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (/.f64 x (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (/.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 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))

eval135.0ms (6.0%)

Memory
14.0MiB live, 202.2MiB allocated; 28ms collecting garbage
Compiler

Compiled 14 540 to 2 551 computations (82.5% saved)

prune13.0ms (0.6%)

Memory
1.6MiB live, 47.6MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New7753778
Fresh000
Picked314
Done011
Total7785783
Accuracy
100.0%
Counts
783 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
53.4%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
97.5%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
97.5%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 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 73 to 47 computations (35.6% saved)

sample0.0ms (0.0%)

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

Compiled 4 to 4 computations (0.0% saved)

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

series7.0ms (0.3%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121538
Stop Event
iter-limit
Counts
10 → 17
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(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)))
x
#s(approx (- 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))
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 (* (/ (- 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 (* (/ (- 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)))))
Calls

3 calls:

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

rewrite125.0ms (5.5%)

Memory
-17.4MiB live, 234.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01888
02088
18880
232268
3142565
0441865
Stop Event
iter-limit
node-limit
iter-limit
Counts
10 → 239
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(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)))
x
#s(approx (- 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))
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 #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)) x))
(*.f64 (*.f64 #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)) x))
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64)))
x
#s(approx (- 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 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 #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 (-.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)))
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(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (neg.f64 x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #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)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))

eval30.0ms (1.3%)

Memory
15.9MiB live, 62.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 6 204 to 857 computations (86.2% saved)

prune10.0ms (0.4%)

Memory
-27.1MiB live, 18.0MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2460246
Fresh000
Picked033
Done022
Total2465251
Accuracy
100.0%
Counts
251 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
53.4%
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
97.5%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
97.5%
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 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 73 to 47 computations (35.6% saved)

regimes80.0ms (3.6%)

Memory
5.6MiB live, 145.9MiB allocated; 23ms collecting garbage
Counts
1 → 1
2 → 1
3 → 1
5 → 2
7 → 2
10 → 1
13 → 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)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
Outputs
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 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)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 (*.f64 x x) x))
Outputs
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
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)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 x)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (-.f64 x #s(literal 1 binary64)))
Call 6
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)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (fma.f64 x x (neg.f64 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 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
Call 7
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)))
#s(approx (* (/ (- x 1) (sqrt (- x 1))) (sqrt x)) (*.f64 x #s(approx (- 1 (/ 1 x)) #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(sqrt.f64 (-.f64 (*.f64 x x) x))
(sqrt.f64 (fma.f64 x x (neg.f64 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 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(*.f64 #s(approx (sqrt (- x 1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (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 x #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
Calls

14 calls:

24.0ms
x
12.0ms
x
10.0ms
x
4.0ms
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
1.1%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
1.1%1x
97.5%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.5%1x
97.5%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
97.5%1x
100.0%2(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
100.0%2x
100.0%2(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
100.0%2x
99.2%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
99.2%1x
100.0%1(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
100.0%1x
Compiler

Compiled 212 to 101 computations (52.4% saved)

bsearch2.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
17792461452598226.0
311579887032648300.0
Samples
1.0ms15×0valid
0.0ms1valid
Compiler

Compiled 31 to 26 computations (16.1% saved)

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

bsearch2.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
1.0ms
665398039812074.5
6637591930038811.0
Samples
1.0ms16×0valid
Compiler

Compiled 37 to 30 computations (18.9% 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)

derivations86.0ms (3.8%)

Memory
-16.5MiB live, 126.0MiB allocated; 31ms collecting garbage
Stop Event
done
Compiler

Compiled 130 to 36 computations (72.3% saved)

preprocess61.0ms (2.7%)

Memory
20.4MiB live, 151.3MiB allocated; 29ms collecting garbage
Compiler

Compiled 397 to 208 computations (47.6% saved)

end0.0ms (0.0%)

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

Profiling

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