Linear.Quaternion:$clog from linear-1.19.1.3

Time bar (total: 12.6s)

start0.0ms (0%)

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

analyze20.0ms (0.2%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%0.1%0%6.2%0%6
75%65.6%21.9%0.1%0%12.5%0%7
80%68.7%17.2%0.1%0%14%0%8
85.7%70.2%11.7%0.1%0%18%0%9
88.9%71.8%9%0.1%0%19.1%0%10
92.3%72.6%6%0.1%0%21.3%0%11
94.1%73.4%4.6%0.1%0%22%0%12
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample736.0ms (5.9%)

Memory
-24.6MiB live, 261.0MiB allocated; 79ms collecting garbage
Samples
408.0ms8 256×0valid
66.0ms373×0invalid
Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-sqrt: 121.0ms (51.5% of total)
ival-mult!: 90.0ms (38.3% of total)
ival-add!: 23.0ms (9.8% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

preprocess67.0ms (0.5%)

Memory
22.4MiB live, 22.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
15138
214138
330438
476438
5358138
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.4%
(sqrt.f64 (+.f64 (*.f64 x x) y))
Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series343.0ms (2.7%)

Memory
-29.9MiB live, 24.3MiB allocated; 12ms collecting garbage
Counts
5 → 30
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 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 x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (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 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ (* x x) y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
48.0ms
y
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
2.0ms
x
@-inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
y
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
x
@inf
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms
y
@0
((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)

rewrite1.9s (15%)

Memory
20.5MiB live, 401.0MiB allocated; 92ms collecting garbage
Counts
5 → 52
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
Outputs
(fabs.f64 (sqrt.f64 (fma.f64 x x y)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x y) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 x x y))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (fma.f64 x x y)))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
(-.f64 (*.f64 x x) (neg.f64 y))
(-.f64 y (neg.f64 (*.f64 x x)))
(fma.f64 x x y)
(fma.f64 (fabs.f64 x) (fabs.f64 x) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(neg.f64 (neg.f64 (fma.f64 x x y)))
(pow.f64 (fma.f64 x x y) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x y) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (neg.f64 (*.f64 x x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
x
(neg.f64 (neg.f64 x))
y
(neg.f64 (neg.f64 y))

eval10.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 651 to 284 computations (56.4% saved)

prune4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh000
Picked011
Done000
Total74579
Accuracy
100.0%
Counts
79 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(sqrt.f64 (fma.f64 x x y))
67.4%
(sqrt.f64 (+.f64 (*.f64 x x) y))
31.8%
(sqrt.f64 #s(approx (+ (* x x) y) y))
71.1%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
1.2%
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
Compiler

Compiled 37 to 37 computations (0% saved)

series216.0ms (1.7%)

Memory
-27.5MiB live, 67.6MiB allocated; 8ms collecting garbage
Counts
18 → 43
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 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 (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ y (pow x 2)) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* x x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (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 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
#s(approx (+ (* x x) y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((sqrt (+ (* x x) y)) (* -1 x) -1 x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (+ (* x x) y))
2.0ms
x
@0
((sqrt (+ (* x x) y)) (* -1 x) -1 x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (+ (* x x) y))
2.0ms
y
@inf
((sqrt (+ (* x x) y)) (* -1 x) -1 x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (+ (* x x) y))
2.0ms
x
@-inf
((sqrt (+ (* x x) y)) (* -1 x) -1 x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (+ (* x x) y))
2.0ms
x
@inf
((sqrt (+ (* x x) y)) (* -1 x) -1 x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1 (* 1/2 (/ y (pow x 2))) 1/2 (/ y (pow x 2)) y (pow x 2) 2 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (+ (* x x) y))

rewrite4.2s (33%)

Memory
50.5MiB live, 1 529.3MiB allocated; 473ms collecting garbage
Counts
18 → 4 327
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 y (pow.f64 x #s(literal 2 binary64)))
y
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (+ (* x x) y) y)
(sqrt.f64 (fma.f64 x x y))
(fma.f64 x x y)
Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 (+.f64 x x) (neg.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 #s(literal 2 binary64)) (+.f64 x x)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 x x) (neg.f64 #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (+.f64 x x) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (+.f64 y y) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (neg.f64 #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 x #s(literal 0 binary64) (neg.f64 x))
(fma.f64 y #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) x (neg.f64 x))
(fma.f64 #s(literal 0 binary64) y (neg.f64 x))
(fma.f64 (neg.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 x))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64) (neg.f64 x))
(fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))))
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(fma.f64 #s(literal 1 binary64) y (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64) y)
(fma.f64 (neg.f64 (/.f64 y x)) (neg.f64 x) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (/.f64 y x)) (neg.f64 x) (*.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (/.f64 (+.f64 y y) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (+.f64 y y) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (/.f64 y (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 y (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)) y)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) y) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)) y)
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x)) y)
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y x)) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y x)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 x x))
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 y #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 y x) x (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) y (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (+.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 x (/.f64 y x) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (/.f64 (+.f64 y y) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (+.f64 x x) x) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 (+.f64 y y) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 y #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 y x) x (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) y (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 y (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (neg.f64 (/.f64 y x)) (neg.f64 x) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (+.f64 y y) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 x (/.f64 y x) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 y x)) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) y) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 y (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))))
(neg.f64 (neg.f64 (fma.f64 x x y)))
(pow.f64 (fma.f64 x x y) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)))

eval833.0ms (6.6%)

Memory
49.0MiB live, 962.8MiB allocated; 218ms collecting garbage
Compiler

Compiled 46 409 to 18 709 computations (59.7% saved)

prune89.0ms (0.7%)

Memory
-19.0MiB live, 125.2MiB allocated; 18ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4 78324 785
Fresh000
Picked224
Done011
Total4 78554 790
Accuracy
100.0%
Counts
4 790 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(sqrt.f64 (fma.f64 x x y))
67.4%
(sqrt.f64 (+.f64 (*.f64 x x) y))
31.8%
(sqrt.f64 #s(approx (+ (* x x) y) y))
70.8%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
1.2%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Compiler

Compiled 38 to 38 computations (0% saved)

series250.0ms (2%)

Memory
18.8MiB live, 67.1MiB allocated; 9ms collecting garbage
Counts
7 → 36
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 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 (neg x) (*.f64 #s(literal -1 binary64) x))
#s(approx x x)
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) x))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y (fma.f64 y (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (+.f64 (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 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x y))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((sqrt (+ (* x x) y)) (neg x) x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1)
1.0ms
x
@0
((sqrt (+ (* x x) y)) (neg x) x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1)
1.0ms
x
@inf
((sqrt (+ (* x x) y)) (neg x) x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1)
1.0ms
y
@-inf
((sqrt (+ (* x x) y)) (neg x) x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1)
1.0ms
y
@inf
((sqrt (+ (* x x) y)) (neg x) x (sqrt (+ (* x x) y)) (* x (+ 1 (* 1/2 (/ y (pow x 2))))) (+ 1 (* 1/2 (/ y (pow x 2)))) 1)

rewrite3.8s (30.1%)

Memory
-43.9MiB live, 675.1MiB allocated; 183ms collecting garbage
Counts
7 → 339
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (+ y (* x x))) (neg.f64 x))
(*.f64 (neg.f64 #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x (neg.f64 #s(literal 1 binary64)))
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 x))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(copysign.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(copysign.f64 #s(literal 1 binary64) (*.f64 x x))
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) y #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 x x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 y y) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) x #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (copysign.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (*.f64 x x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 x)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) x)) (neg.f64 (copysign.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 #s(literal 1 binary64))) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 x (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) (/.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) x) (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x x) x)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) x) (/.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (/.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64))
(hypot.f64 (neg.f64 #s(literal 1 binary64)) #s(literal 0 binary64))
(hypot.f64 (copysign.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))
(hypot.f64 #s(literal 0 binary64) (copysign.f64 #s(literal 1 binary64) x))
(hypot.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(hypot.f64 (neg.f64 (copysign.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (neg.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (fabs.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))
(hypot.f64 #s(literal 0 binary64) (neg.f64 (copysign.f64 #s(literal 1 binary64) x)))
(hypot.f64 (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 0 binary64))
(hypot.f64 (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) #s(literal 0 binary64))
(hypot.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x))))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) x))
(hypot.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))))
(neg.f64 (neg.f64 #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x x)) (*.f64 x x)))
(pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (*.f64 x x) #s(literal 0 binary64))
(pow.f64 (fabs.f64 x) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(pow.f64 x (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (fabs.f64 x)) (-.f64 #s(literal 2 binary64) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))

eval49.0ms (0.4%)

Memory
17.8MiB live, 61.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 912 to 1 600 computations (45.1% saved)

prune10.0ms (0.1%)

Memory
18.7MiB live, 18.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4450445
Fresh000
Picked022
Done033
Total4455450
Accuracy
100.0%
Counts
450 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(sqrt.f64 (fma.f64 x x y))
67.4%
(sqrt.f64 (+.f64 (*.f64 x x) y))
31.8%
(sqrt.f64 #s(approx (+ (* x x) y) y))
70.8%
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
1.2%
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Compiler

Compiled 79 to 74 computations (6.3% saved)

regimes18.0ms (0.1%)

Memory
-24.4MiB live, 21.2MiB allocated; 5ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x y))
(sqrt.f64 (+.f64 (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Calls

5 calls:

7.0ms
(+.f64 (*.f64 x x) y)
3.0ms
x
3.0ms
y
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%2(*.f64 x x)
100.0%2(+.f64 (*.f64 x x) y)
100.0%2(sqrt.f64 (+.f64 (*.f64 x x) y))
100.0%2x
87.1%2y
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes9.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x y))
Outputs
(sqrt.f64 (fma.f64 x x y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
(+.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%2(*.f64 x x)
100.0%2(+.f64 (*.f64 x x) y)
100.0%2(sqrt.f64 (+.f64 (*.f64 x x) y))
100.0%2x
Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory
14.7MiB live, 14.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 x #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms
x
2.0ms
(+.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
91.5%2(*.f64 x x)
78.0%4(+.f64 (*.f64 x x) y)
78.0%4(sqrt.f64 (+.f64 (*.f64 x x) y))
91.5%2x
Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes12.0ms (0.1%)

Memory
-30.6MiB live, 15.1MiB allocated; 4ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(sqrt.f64 #s(approx (+ (* x x) y) y))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
Outputs
(sqrt.f64 #s(approx (+ (* x x) y) y))
Calls

5 calls:

6.0ms
(+.f64 (*.f64 x x) y)
2.0ms
x
2.0ms
y
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
31.8%1(+.f64 (*.f64 x x) y)
31.8%1(sqrt.f64 (+.f64 (*.f64 x x) y))
31.8%1y
31.8%1(*.f64 x x)
31.8%1x
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes5.0ms (0%)

Memory
11.7MiB live, 11.7MiB 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 x) y)) (neg.f64 x))
Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
Calls

5 calls:

1.0ms
x
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) y))
1.0ms
y
1.0ms
(+.f64 (*.f64 x x) y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
1.2%1x
1.2%1y
1.2%1(*.f64 x x)
1.2%1(+.f64 (*.f64 x x) y)
1.2%1(sqrt.f64 (+.f64 (*.f64 x x) y))
Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch3.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
5.977269266584316e+109
1.6508135477417743e+111
Samples
1.0ms32×0valid
Compiler

Compiled 51 to 56 computations (-9.8% saved)

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

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
5.977269266584316e+109
1.6508135477417743e+111
Compiler

Compiled 49 to 54 computations (-10.2% saved)

bsearch14.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
6.141024490363993e-66
4.0350598764239985e-59
Samples
5.0ms144×0valid
1.0ms39×0invalid
Compiler

Compiled 207 to 226 computations (-9.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sqrt: 1.0ms (35.4% of total)
ival-mult!: 1.0ms (35.4% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 39 to 32 computations (17.9% saved)

preprocess55.0ms (0.4%)

Memory
-23.6MiB live, 70.4MiB allocated; 23ms collecting garbage
Remove

(abs x)

Compiler

Compiled 202 to 191 computations (5.4% saved)

end0.0ms (0%)

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

Profiling

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