Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample1.1s (35.7%)

Memory
-16.6MiB live, 901.5MiB allocated; 308ms collecting garbage
Samples
728.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 292.0ms
ival-fabs: 146.0ms (50% of total)
ival-sqrt: 96.0ms (32.9% of total)
ival-sub!: 47.0ms (16.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

preprocess82.0ms (2.7%)

Memory
-15.2MiB live, 33.0MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01836
15532
215132
347332
4178432
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

series7.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045151
Stop Event
iter-limit
Counts
5 → 15
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (-.f64 x y))))
#s(approx (fabs (- x y)) (fabs.f64 (-.f64 x y)))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (- x y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (neg.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x))))))
#s(approx (fabs (- x y)) (fabs.f64 (neg.f64 (+.f64 y (*.f64 #s(literal -1 binary64) x)))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx y y)
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (sqrt (fabs (- x y))) (sqrt.f64 (fabs.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)))))
#s(approx (fabs (- x y)) (fabs.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms
x
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms
x
@inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms
y
@-inf
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)
1.0ms
x
@0
((sqrt (fabs (- x y))) (fabs (- x y)) (- x y) x y)

rewrite281.0ms (9.3%)

Memory
4.3MiB live, 148.6MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0813
13713
229512
3458912
0843412
Stop Event
iter-limit
node-limit
iter-limit
Counts
5 → 373
Calls
Call 1
Inputs
(sqrt.f64 (fabs.f64 (-.f64 x y)))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
Outputs
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x)))) (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x y) x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x y) x) (-.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) (-.f64 y x)) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (sqrt.f64 (-.f64 y x))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 x y)))
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x y) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 (neg.f64 y) x)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) (sqrt.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (sqrt.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (-.f64 x y))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(exp.f64 (fma.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64) (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 y x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (-.f64 y x)))))
(*.f64 (exp.f64 (log.f64 (/.f64 (-.f64 x y) x))) x)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))) (sqrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) (pow.f64 (*.f64 (+.f64 y x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) (neg.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))) (*.f64 x (/.f64 x (+.f64 y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (+.f64 y x) (/.f64 (+.f64 y x) x)) (/.f64 (-.f64 x y) x))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (fma.f64 y (/.f64 (+.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 (-.f64 x y) (*.f64 x x)))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))) y)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x y) x) (-.f64 x y))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x y) x)) (sqrt.f64 (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (-.f64 y x) x) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) (*.f64 x (/.f64 x (+.f64 y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 y x))))
(*.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (*.f64 x x) x))
(*.f64 (/.f64 (-.f64 x y) x) (neg.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 x y) x) x)
(*.f64 #s(literal 1 binary64) (-.f64 x y))
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 x y) #s(literal 1 binary64))
(*.f64 x (/.f64 (-.f64 x y) x))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 y x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fabs.f64 (+.f64 y x)) (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) #s(literal 4 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (-.f64 x y) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (*.f64 (fabs.f64 (+.f64 y x)) (-.f64 x y)))) (exp.f64 (log.f64 (fabs.f64 (+.f64 y x)))))
(/.f64 (exp.f64 (log.f64 (fabs.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))))) (exp.f64 (log.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x))))) (/.f64 (+.f64 y x) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (fma.f64 y (/.f64 (+.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (*.f64 x x)))) x) (/.f64 (+.f64 y x) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) x) (fma.f64 y (/.f64 (+.f64 y x) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (+.f64 y x)) (*.f64 y y)) (+.f64 y x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (*.f64 (*.f64 y y) y)) (fma.f64 (+.f64 y x) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))) (fma.f64 x (/.f64 x (+.f64 y x)) (*.f64 y (/.f64 y (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))) (fma.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 (+.f64 y x) x)) x)
(/.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 y (/.f64 (+.f64 y x) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x x))
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(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 x y)
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (-.f64 y x))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 y x)) (neg.f64 (sqrt.f64 (-.f64 y x)))))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(exp.f64 (/.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (-.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (-.f64 x y))) (sinh.f64 (log.f64 (-.f64 x y))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (*.f64 x (/.f64 (neg.f64 y) x)))
(+.f64 x (*.f64 (/.f64 (neg.f64 y) x) x))
(+.f64 x (neg.f64 y))
x
y

eval17.0ms (0.6%)

Memory
22.2MiB live, 22.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 112 to 700 computations (66.9% saved)

prune11.0ms (0.4%)

Memory
-37.8MiB live, 8.7MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2155220
Fresh000
Picked101
Done000
Total2165221
Accuracy
100.0%
Counts
221 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.2%
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
0.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
100.0%
(sqrt.f64 (-.f64 y x))
0.0%
(sqrt.f64 (-.f64 x y))
0.0%
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
Compiler

Compiled 64 to 62 computations (3.1% saved)

series114.0ms (3.7%)

Memory
33.9MiB live, 123.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012628147
Stop Event
iter-limit
Counts
20 → 201
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(neg.f64 y)
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 y x)
(sqrt.f64 (+.f64 y x))
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 y))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (fma.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (/ 1 (- x y))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (/ 1 (- x y)) (/.f64 #s(literal -1 binary64) y))
#s(approx (/ 1 (- x y)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ 1 (- x y)) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ 1 (- x y)) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(approx (sqrt (* (- 1 (/ x y)) (neg y))) (sqrt.f64 (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (* (- 1 (/ x y)) (neg y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))
#s(approx (sqrt (* (- 1 (/ x y)) (neg y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (* (- 1 (/ x y)) (neg y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))))
#s(approx (* (- 1 (/ x y)) (neg y)) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- 1 (/ x y)) #s(literal 1 binary64))
#s(approx (- 1 (/ x y)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 y)))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 y))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 y) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 y))))
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#s(approx (sqrt (* (+ y x) (- x y))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (sqrt (* (+ y x) (- x y))) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))))))
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#s(approx (* (+ y x) (- x y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* (+ y x) (- x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))))
#s(approx (* (+ y x) (- x y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))))
#s(approx (+ y x) (+.f64 x y))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 y) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
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#s(approx (- y x) (*.f64 #s(literal -1 binary64) x))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (sqrt (- x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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#s(approx (/ 1 (- x y)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x y)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
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#s(approx (- 1 (/ x y)) (*.f64 #s(literal -1 binary64) (/.f64 x y)))
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#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x)))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (+ y x) (- x y)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (/.f64 y x)))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y x) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))))))
#s(approx (+ y x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (sqrt (+ y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (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) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (*.f64 #s(literal -1 binary64) y)) x)) #s(literal 1 binary64)) x)))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (pow.f64 y #s(literal 2 binary64))) x)) (*.f64 #s(literal -1 binary64) y)) x)) #s(literal 1 binary64)) x)))
#s(approx (- 1 (/ x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y (+.f64 y (*.f64 #s(literal -1 binary64) y))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) x))))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))) x))) x))))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))))) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 y (*.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64)))))) x) (*.f64 #s(literal -1/2 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)))) x))))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 y (*.f64 #s(literal -1 binary64) y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x)))))
#s(approx (+ y x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (neg.f64 x))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (- y x) (-.f64 y x))
#s(approx (sqrt (- x y)) (sqrt.f64 x))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (fma.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 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) (*.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)))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (fma.f64 y (-.f64 (*.f64 y (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 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 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 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) (*.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)))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (fma.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 2 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 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (/ 1 (- x y)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (- x y)) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ 1 (- x y)) (fma.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- 1 (/ x y)) (/.f64 (-.f64 y x) y))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x)))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 y (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 7 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 x))))
#s(approx (sqrt (* (+ y x) (- x y))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (* (+ y x) (- x y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (* (+ y x) (- x y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (+ y x) (- x y))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) (+.f64 x (*.f64 #s(literal -1 binary64) x)))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))))))
#s(approx (* (+ y x) (- x y)) (fma.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ y x) (- x y)) (fma.f64 y (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ y x)) (+.f64 (sqrt.f64 x) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- y x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))))))))
#s(approx (- y x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (sqrt (- x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))))))
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#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
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#s(approx (/ 1 (- x y)) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))
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#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
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#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 y (sqrt.f64 #s(literal -1 binary64))))))))
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#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 x y)) #s(literal 1 binary64))))
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#s(approx (+ y x) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (sqrt (+ y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))))))))
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#s(approx (- y x) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
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#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (/ 1 (sqrt (/ 1 (- x y)))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))))))
#s(approx (sqrt (/ 1 (- x y))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) x) y))) y)))
#s(approx (/ 1 (- x y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) x) y))) y)))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 y (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (+.f64 x (*.f64 #s(literal -1 binary64) x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) y) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 y (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) y))))))
#s(approx (sqrt (* (+ y x) (- x y))) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))))) y) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))))) y))))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))))
#s(approx (* (+ y x) (- x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))) y)) #s(literal 1 binary64))))
#s(approx (+ y x) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
y
@inf
((sqrt (- y x)) (- y x) y x (sqrt (- x y)) (- x y) (/ 1 (sqrt (/ 1 (- x y)))) 1 (sqrt (/ 1 (- x y))) (/ 1 (- x y)) (sqrt (* (- 1 (/ x y)) (neg y))) (* (- 1 (/ x y)) (neg y)) (- 1 (/ x y)) (/ x y) (neg y) (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (sqrt (* (+ y x) (- x y))) (* (+ y x) (- x y)) (+ y x) (sqrt (+ y x)))
14.0ms
y
@0
((sqrt (- y x)) (- y x) y x (sqrt (- x y)) (- x y) (/ 1 (sqrt (/ 1 (- x y)))) 1 (sqrt (/ 1 (- x y))) (/ 1 (- x y)) (sqrt (* (- 1 (/ x y)) (neg y))) (* (- 1 (/ x y)) (neg y)) (- 1 (/ x y)) (/ x y) (neg y) (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (sqrt (* (+ y x) (- x y))) (* (+ y x) (- x y)) (+ y x) (sqrt (+ y x)))
12.0ms
x
@inf
((sqrt (- y x)) (- y x) y x (sqrt (- x y)) (- x y) (/ 1 (sqrt (/ 1 (- x y)))) 1 (sqrt (/ 1 (- x y))) (/ 1 (- x y)) (sqrt (* (- 1 (/ x y)) (neg y))) (* (- 1 (/ x y)) (neg y)) (- 1 (/ x y)) (/ x y) (neg y) (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (sqrt (* (+ y x) (- x y))) (* (+ y x) (- x y)) (+ y x) (sqrt (+ y x)))
10.0ms
x
@0
((sqrt (- y x)) (- y x) y x (sqrt (- x y)) (- x y) (/ 1 (sqrt (/ 1 (- x y)))) 1 (sqrt (/ 1 (- x y))) (/ 1 (- x y)) (sqrt (* (- 1 (/ x y)) (neg y))) (* (- 1 (/ x y)) (neg y)) (- 1 (/ x y)) (/ x y) (neg y) (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (sqrt (* (+ y x) (- x y))) (* (+ y x) (- x y)) (+ y x) (sqrt (+ y x)))
8.0ms
x
@-inf
((sqrt (- y x)) (- y x) y x (sqrt (- x y)) (- x y) (/ 1 (sqrt (/ 1 (- x y)))) 1 (sqrt (/ 1 (- x y))) (/ 1 (- x y)) (sqrt (* (- 1 (/ x y)) (neg y))) (* (- 1 (/ x y)) (neg y)) (- 1 (/ x y)) (/ x y) (neg y) (/ (sqrt (* (+ y x) (- x y))) (sqrt (+ y x))) (sqrt (* (+ y x) (- x y))) (* (+ y x) (- x y)) (+ y x) (sqrt (+ y x)))

rewrite351.0ms (11.6%)

Memory
19.8MiB live, 392.2MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02098
03775
114774
2117174
0829274
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 2 313
Calls
Call 1
Inputs
(sqrt.f64 (-.f64 y x))
(-.f64 y x)
y
x
(sqrt.f64 (-.f64 x y))
(-.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
#s(literal 1 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (-.f64 x y))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(neg.f64 y)
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
(sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y)))
(*.f64 (+.f64 y x) (-.f64 x y))
(+.f64 y x)
(sqrt.f64 (+.f64 y x))
Outputs
(*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 y x))) (sqrt.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (-.f64 y x)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 (neg.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 (neg.f64 (neg.f64 y))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 y x) y)) (sqrt.f64 y))
(pow.f64 (exp.f64 (log.f64 (-.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))) (neg.f64 (sqrt.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) y)) (sqrt.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) y)) (sqrt.f64 (fma.f64 (/.f64 x y) (/.f64 (+.f64 x y) y) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (+.f64 x y) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (+.f64 x y)))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (sqrt.f64 (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (sqrt.f64 (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)))))
(sqrt.f64 (-.f64 y x))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 y x))))
(fabs.f64 (sqrt.f64 (-.f64 y x)))
(exp.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (-.f64 y x)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 (-.f64 y x) y))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 y x))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x))
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 y x) y) (neg.f64 (neg.f64 y)))
(*.f64 (/.f64 (-.f64 y x) y) y)
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (-.f64 y x)))
(*.f64 y (/.f64 (-.f64 y x) y))
(pow.f64 (*.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 y x)) #s(literal 2 binary64))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 y y) (+.f64 x y)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x y) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) y) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 (neg.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (+.f64 x y) (*.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (+.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) y)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) y)) (neg.f64 (/.f64 (+.f64 x y) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) y)) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 (+.f64 x y) y) #s(literal 1 binary64))))
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(fma.f64 y (/.f64 (+.f64 x y) y) (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 y (/.f64 (+.f64 x y) y) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(sqrt.f64 (*.f64 (+.f64 x y) (+.f64 x y)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x))))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(-.f64 x (neg.f64 y))
(-.f64 y (neg.f64 x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y))))
(fabs.f64 (*.f64 (sqrt.f64 (+.f64 x y)) (neg.f64 (sqrt.f64 (+.f64 x y)))))
(fabs.f64 (+.f64 x y))
(exp.f64 (fma.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (+.f64 x y) x) (-.f64 x y)) (/.f64 (*.f64 (+.f64 x y) (neg.f64 y)) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)) (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (-.f64 x y)) (/.f64 (*.f64 (-.f64 x y) x) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 y (-.f64 x y)) (-.f64 x y)) (/.f64 (*.f64 x (-.f64 x y)) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x (-.f64 x y)) (-.f64 x y)) (/.f64 (*.f64 y (-.f64 x y)) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x (+.f64 x y)) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) (+.f64 x y)) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (neg.f64 (*.f64 x x)) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (+.f64 x y) (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(+.f64 (+.f64 x y) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(+.f64 x y)
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(*.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (sqrt.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (sqrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x))) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (+.f64 x y) y)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) y)) (sqrt.f64 y))
(pow.f64 (exp.f64 (log.f64 (+.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 x y) (+.f64 x y)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 x y) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 (-.f64 y x) y))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 y y (fma.f64 x x (*.f64 y (neg.f64 x))))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))))
(sqrt.f64 (+.f64 x y))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y)))))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 x y))))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1/2 binary64))))

eval342.0ms (11.3%)

Memory
-9.3MiB live, 354.0MiB allocated; 162ms collecting garbage
Compiler

Compiled 24 071 to 6 866 computations (71.5% saved)

prune60.0ms (2%)

Memory
35.3MiB live, 87.9MiB allocated; 17ms collecting garbage
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2 00562 011
Fresh000
Picked235
Done000
Total2 00792 016
Accuracy
100.0%
Counts
2 016 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
100.0%
(sqrt.f64 (-.f64 y x))
0.0%
(sqrt.f64 (-.f64 x y))
0.0%
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
50.1%
(sqrt.f64 #s(approx (- y x) y))
50.8%
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
1.7%
#s(approx (sqrt (- x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
1.6%
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
1.7%
#s(approx (sqrt (- x y)) (sqrt.f64 x))
Compiler

Compiled 97 to 97 computations (0% saved)

series30.0ms (1%)

Memory
-10.7MiB live, 35.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03081551
Stop Event
iter-limit
Counts
17 → 63
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 #s(approx (- y x) y))
#s(approx (- y x) y)
y
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (sqrt (- x y)) (*.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)
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (neg x)) (sqrt.f64 (*.f64 #s(literal -1 binary64) x)))
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 y))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 y))))))))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- y x) y)
#s(approx (- y x) (+.f64 y (*.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (- y x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))))
#s(approx (sqrt (- x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- x y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))))
#s(approx (- y x) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x))))))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (neg.f64 x))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (- x y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- y x) (-.f64 y x))
#s(approx (sqrt (neg y)) (sqrt.f64 (*.f64 #s(literal -1 binary64) y)))
#s(approx (neg y) (*.f64 #s(literal -1 binary64) y))
#s(approx (sqrt (- y x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))))))))
#s(approx (sqrt (- x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (- y x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (sqrt (- x y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))))
#s(approx (- y x) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((sqrt (- y x)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (sqrt (neg y)) (neg y) (sqrt (- x y)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1)
3.0ms
x
@-inf
((sqrt (- y x)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (sqrt (neg y)) (neg y) (sqrt (- x y)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1)
2.0ms
x
@0
((sqrt (- y x)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (sqrt (neg y)) (neg y) (sqrt (- x y)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1)
1.0ms
y
@-inf
((sqrt (- y x)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (sqrt (neg y)) (neg y) (sqrt (- x y)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1)
1.0ms
y
@inf
((sqrt (- y x)) (sqrt (neg x)) (neg x) x (sqrt (- x y)) (sqrt x) (sqrt (- y x)) (- y x) y (sqrt (- x y)) (sqrt (neg y)) (neg y) (sqrt (- x y)) (* x (sqrt (/ 1 x))) (sqrt (/ 1 x)) (/ 1 x) 1)

rewrite174.0ms (5.8%)

Memory
-16.1MiB live, 122.8MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02173
03068
18967
254861
0649761
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
17 → 324
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 #s(approx (- y x) y))
#s(approx (- y x) y)
y
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
#s(approx (sqrt (- x y)) (*.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)
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 x))
(*.f64 (*.f64 x (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)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 x))
(/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 x (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
x
x
#s(approx (sqrt (- y x)) (sqrt.f64 x))
(*.f64 (*.f64 x (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)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 x (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (/.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 x))
(/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 x (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(/.f64 x (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(neg.f64 (sqrt.f64 x))
(sqrt.f64 x)
(fabs.f64 (sqrt.f64 x))
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (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)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (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)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (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)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x))))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 0 binary64) x))
#s(literal 1 binary64)

eval28.0ms (0.9%)

Memory
0.9MiB live, 45.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 297 to 1 057 computations (54% saved)

prune10.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2821283
Fresh011
Picked145
Done033
Total2839292
Accuracy
100.0%
Counts
292 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
100.0%
(sqrt.f64 (-.f64 y x))
0.0%
(sqrt.f64 (-.f64 x y))
0.0%
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
50.1%
(sqrt.f64 #s(approx (- y x) y))
1.7%
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
50.8%
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
1.6%
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
1.7%
#s(approx (sqrt (- x y)) (sqrt.f64 x))
Compiler

Compiled 54 to 54 computations (0% saved)

series29.0ms (0.9%)

Memory
-17.4MiB live, 27.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03141711
Stop Event
iter-limit
Counts
10 → 65
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 y))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 y) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (/ x (sqrt x)) (/.f64 x (sqrt.f64 x)))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (sqrt (* (- (/ x y) 1) y)) (sqrt.f64 (*.f64 #s(literal -1 binary64) y)))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) y))))))))
#s(approx (* (- (/ x y) 1) y) (*.f64 #s(literal -1 binary64) y))
#s(approx (* (- (/ x y) 1) y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (- (/ x y) 1) #s(literal -1 binary64))
#s(approx (- (/ x y) 1) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (sqrt (- y x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- y x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))))
#s(approx (/ x (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))))))
#s(approx (* (- (/ x y) 1) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (- (/ x y) 1) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))))))
#s(approx (/ x (sqrt x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))))))))
#s(approx (* (- (/ x y) 1) y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (- (/ x y) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (neg.f64 x))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (sqrt (- y x)) (+.f64 (sqrt.f64 (neg.f64 x)) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (+.f64 (sqrt.f64 x) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (- (/ x y) 1) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) y)) y))
#s(approx y y)
#s(approx (sqrt (- y x)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))))))))
#s(approx (sqrt (- y x)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64))))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (* (- (/ x y) 1) y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))))))))))
#s(approx (sqrt (- y x)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y))))))))))
#s(approx (sqrt (* (- (/ x y) 1) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))))))))))
#s(approx (* (- (/ x y) 1) y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((sqrt (- y x)) (/ x (sqrt x)) x (sqrt x) (sqrt (* (- (/ x y) 1) y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
2.0ms
x
@inf
((sqrt (- y x)) (/ x (sqrt x)) x (sqrt x) (sqrt (* (- (/ x y) 1) y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
2.0ms
x
@0
((sqrt (- y x)) (/ x (sqrt x)) x (sqrt x) (sqrt (* (- (/ x y) 1) y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
2.0ms
y
@-inf
((sqrt (- y x)) (/ x (sqrt x)) x (sqrt x) (sqrt (* (- (/ x y) 1) y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)
1.0ms
y
@inf
((sqrt (- y x)) (/ x (sqrt x)) x (sqrt x) (sqrt (* (- (/ x y) 1) y)) (* (- (/ x y) 1) y) (- (/ x y) 1) (/ x y) y 1)

rewrite63.0ms (2.1%)

Memory
41.6MiB live, 41.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01241
01841
18233
062533
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
10 → 96
Calls
Call 1
Inputs
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) x)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 x (sqrt.f64 x))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)))
x
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(pow.f64 (-.f64 x y) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 x y))))
(sqrt.f64 (-.f64 x y))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x y))))
(fabs.f64 (sqrt.f64 (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (-.f64 x y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (*.f64 (/.f64 x y) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 y (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64))) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64)) y) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(neg.f64 (-.f64 y x))
(fma.f64 (/.f64 x y) y (*.f64 #s(literal -1 binary64) y))
(fma.f64 y (/.f64 x y) (*.f64 y #s(literal -1 binary64)))
(-.f64 x y)
(+.f64 (*.f64 y (/.f64 x y)) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x y) y) (*.f64 #s(literal -1 binary64) y))
(+.f64 x (neg.f64 y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x y))
(*.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 y x))
(/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 (-.f64 x y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 x y) #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (/.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))))
(-.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
y
#s(literal 1 binary64)

eval40.0ms (1.3%)

Memory
-17.0MiB live, 27.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 1 490 to 647 computations (56.6% saved)

prune9.0ms (0.3%)

Memory
10.9MiB live, 10.9MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1500150
Fresh000
Picked022
Done077
Total1509159
Accuracy
100.0%
Counts
159 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
0.0%
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
100.0%
(sqrt.f64 (-.f64 y x))
0.0%
(sqrt.f64 (-.f64 x y))
0.0%
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
50.1%
(sqrt.f64 #s(approx (- y x) y))
1.7%
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
50.8%
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
1.6%
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
1.7%
#s(approx (sqrt (- x y)) (sqrt.f64 x))
Compiler

Compiled 110 to 98 computations (10.9% saved)

regimes59.0ms (1.9%)

Memory
-31.3MiB live, 48.2MiB allocated; 29ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- y x) y))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (-.f64 x y))
(sqrt.f64 (-.f64 y x))
#s(approx (sqrt (- y x)) (/.f64 x (sqrt.f64 x)))
(sqrt.f64 (fabs.f64 (-.f64 x y)))
#s(approx (sqrt (- x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (+.f64 y x)))
Outputs
(sqrt.f64 (-.f64 y x))
Calls

5 calls:

27.0ms
x
8.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
8.0ms
(-.f64 x y)
7.0ms
y
7.0ms
(fabs.f64 (-.f64 x y))
Results
AccuracySegmentsBranch
100.0%1(-.f64 x y)
100.0%1(fabs.f64 (-.f64 x y))
100.0%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
100.0%1x
100.0%1y
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes24.0ms (0.8%)

Memory
-17.9MiB live, 28.4MiB allocated; 4ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- y x) y))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 (-.f64 x y))
Outputs
#s(approx (sqrt (- y x)) (sqrt.f64 (neg.f64 x)))
(sqrt.f64 #s(approx (- y x) y))
Calls

5 calls:

7.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
4.0ms
(fabs.f64 (-.f64 x y))
4.0ms
x
4.0ms
(-.f64 x y)
4.0ms
y
Results
AccuracySegmentsBranch
60.5%4(-.f64 x y)
60.5%4(fabs.f64 (-.f64 x y))
60.5%4(sqrt.f64 (fabs.f64 (-.f64 x y)))
84.8%2x
82.6%2y
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes15.0ms (0.5%)

Memory
22.5MiB live, 22.5MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- y x) y))
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
Outputs
#s(approx (sqrt (- x y)) (sqrt.f64 (neg.f64 y)))
(sqrt.f64 #s(approx (- y x) y))
Calls

5 calls:

3.0ms
x
3.0ms
y
3.0ms
(-.f64 x y)
3.0ms
(fabs.f64 (-.f64 x y))
3.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
Results
AccuracySegmentsBranch
50.1%1(-.f64 x y)
50.1%1(fabs.f64 (-.f64 x y))
50.1%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
51.7%2y
50.1%1x
Compiler

Compiled 14 to 16 computations (-14.3% saved)

regimes12.0ms (0.4%)

Memory
-34.7MiB live, 12.3MiB allocated; 6ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (- y x) y))
Outputs
(sqrt.f64 #s(approx (- y x) y))
Calls

3 calls:

6.0ms
(fabs.f64 (-.f64 x y))
3.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
y
Results
AccuracySegmentsBranch
50.1%1(fabs.f64 (-.f64 x y))
50.1%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
50.1%1y
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
Outputs
#s(approx (sqrt (- x y)) (sqrt.f64 x))
Calls

5 calls:

2.0ms
(-.f64 x y)
2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
x
2.0ms
y
2.0ms
(fabs.f64 (-.f64 x y))
Results
AccuracySegmentsBranch
1.7%1(-.f64 x y)
1.7%1x
1.7%1y
1.7%1(fabs.f64 (-.f64 x y))
1.7%1(sqrt.f64 (fabs.f64 (-.f64 x y)))
Compiler

Compiled 14 to 16 computations (-14.3% saved)

bsearch8.0ms (0.3%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
7.0ms
-1.6613716763802633e-97
-1.0510456616670241e-98
Samples
4.0ms96×0valid
Compiler

Compiled 80 to 94 computations (-17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-fabs: 1.0ms (59.9% of total)
ival-sqrt: 1.0ms (59.9% of total)
ival-sub!: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)

bsearch11.0ms (0.4%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
10.0ms
-5.507777766074819e-308
1.4279379979904079e-303
Samples
5.0ms144×0valid
Compiler

Compiled 116 to 136 computations (-17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub!: 1.0ms (43.5% of total)
ival-fabs: 1.0ms (43.5% of total)
ival-sqrt: 1.0ms (43.5% of total)
adjust: 0.0ms (0% of total)

derivations102.0ms (3.4%)

Memory
-28.6MiB live, 66.9MiB allocated; 15ms collecting garbage
Stop Event
done
Compiler

Compiled 27 to 24 computations (11.1% saved)

preprocess60.0ms (2%)

Memory
0.9MiB live, 140.9MiB allocated; 9ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 114 to 109 computations (4.4% saved)

end0.0ms (0%)

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

Profiling

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