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

Time bar (total: 2.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze24.0ms (0.9%)

Memory
-15.0MiB live, 29.1MiB allocated; 11ms 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
25%25%74.9%0.1%0%0%0%3
28.6%25%62.4%0.1%0%12.5%0%4
46.2%37.5%43.7%0.1%0%18.7%0%5
52.2%37.5%34.3%0.1%0%28.1%0%6
65.1%43.7%23.4%0.1%0%32.8%0%7
70.9%43.7%18%0.1%0%38.2%0%8
79.5%46.8%12.1%0.1%0%41%0%9
83.6%46.8%9.2%0.1%0%43.9%0%10
88.7%48.4%6.1%0.1%0%45.4%0%11
91.3%48.4%4.6%0.1%0%46.9%0%12
Compiler

Compiled 6 to 6 computations (0% saved)

sample967.0ms (35.8%)

Memory
-13.6MiB live, 803.5MiB allocated; 166ms collecting garbage
Samples
653.0ms8 256×0valid
16.0ms537×0invalid
Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-sqrt: 106.0ms (74.1% of total)
ival-add!: 35.0ms (24.5% of total)
adjust: 2.0ms (1.4% of total)
Bogosity

preprocess71.0ms (2.6%)

Memory
-5.4MiB live, 40.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01430
13126
25926
314126
434326
588526
6431226
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series12.0ms (0.4%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166767
Stop Event
iter-limit
Counts
4 → 31
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.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 (+ x y)) (+.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 (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x 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 -1/8 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 (+ x y)) (*.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 y) (*.f64 x (+.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 -1/8 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 (+ x y)) (*.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 y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#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 (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 (+ x y)) (+.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 (+ 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 #s(literal 1 binary64) (/.f64 x y))))
#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 (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((sqrt (+ x y)) (+ x y) x y)
1.0ms
x
@inf
((sqrt (+ x y)) (+ x y) x y)
1.0ms
y
@-inf
((sqrt (+ x y)) (+ x y) x y)
1.0ms
y
@inf
((sqrt (+ x y)) (+ x y) x y)
0.0ms
x
@0
((sqrt (+ x y)) (+ x y) x y)

rewrite424.0ms (15.7%)

Memory
-27.3MiB live, 251.4MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
1299
2739
31539
43809
512509
676949
082169
1129249
Stop Event
saturated
node-limit
iter-limit
Counts
4 → 26
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 1/8 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))
(neg.f64 (neg.f64 (sqrt.f64 (+.f64 y x))))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 y x))))
(fabs.f64 (sqrt.f64 (+.f64 y 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)))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (+.f64 y x) (+.f64 y x)) #s(literal 1/2 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 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 x) y))
(sqrt.f64 (*.f64 (+.f64 y x) (+.f64 y x)))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(fabs.f64 (-.f64 (neg.f64 x) y))
(fabs.f64 (+.f64 y x))
(+.f64 y x)
(+.f64 x y)
x
y

eval5.0ms (0.2%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 513 to 213 computations (58.5% saved)

prune2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New50454
Fresh000
Picked011
Done000
Total50555
Accuracy
100.0%
Counts
55 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x y))
100.0%
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
97.0%
(sqrt.f64 #s(approx (+ x y) y))
3.0%
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
3.0%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 35 to 34 computations (2.9% saved)

series61.0ms (2.3%)

Memory
-14.9MiB live, 50.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0194954
Stop Event
iter-limit
Counts
17 → 44
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))
#s(literal 1/2 binary64)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.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 (+ x y)) (+.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 x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ (sqrt x) (* 1/2 (/ y (sqrt x)))) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (* 1/2 (/ y (sqrt x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))
#s(approx (/ y (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (+ 1 (/ x y)) #s(literal 1 binary64))
#s(approx (+ 1 (/ x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#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 -1/8 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 (+ x y)) (*.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 (* 1/2 (/ y (sqrt x))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ y (sqrt x)) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (+ 1 (/ x y)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#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 -1/8 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 (+ x y)) (*.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 (* 1/2 (/ y (sqrt x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ y (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x y)) (+.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 (+ x y)) (+.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 (+ 1 (/ x y)) (/.f64 (+.f64 x y) 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 (+ (sqrt x) (* 1/2 (/ y (sqrt x)))) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#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 (+ (sqrt x) (* 1/2 (/ y (sqrt x)))) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

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

rewrite267.0ms (9.9%)

Memory
-8.0MiB live, 373.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01995
02895
112183
244881
3157281
0843979
12237679
Stop Event
saturated
node-limit
iter-limit
Counts
17 → 1 768
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
(+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))
#s(literal 1/2 binary64)
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)))
(*.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 x y) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 y (/.f64 (/.f64 x y) (sqrt.f64 x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (+.f64 x x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(/.f64 (*.f64 y x) (*.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)))
(neg.f64 (/.f64 x (neg.f64 (sqrt.f64 x))))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x y) (/.f64 y (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 y (/.f64 (/.f64 x y) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(sqrt.f64 (/.f64 (*.f64 x x) x))
(sqrt.f64 x)
(fabs.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)))
(fabs.f64 (/.f64 x (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(+.f64 (sqrt.f64 x) #s(literal 0 binary64))
x
#s(approx (sqrt (+ x y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) y x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) (/.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -2 binary64)) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (fma.f64 x (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x))) x)
(/.f64 (fma.f64 x (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) y))) (neg.f64 x))
(/.f64 (fma.f64 x (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (neg.f64 (sqrt.f64 x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x))
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (sqrt.f64 x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 y) (sqrt.f64 x))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y (sqrt.f64 x))
(fma.f64 (*.f64 (neg.f64 y) x) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1/2 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) y x) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) y x) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x y) (/.f64 y (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(fma.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (sqrt.f64 x))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 y (/.f64 (/.f64 x y) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 0 binary64)))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/2 binary64) y x)))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))
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(*.f64 (neg.f64 y) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
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(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
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eval353.0ms (13.1%)

Memory
41.9MiB live, 509.2MiB allocated; 200ms collecting garbage
Compiler

Compiled 16 809 to 7 070 computations (57.9% saved)

prune46.0ms (1.7%)

Memory
-8.0MiB live, 93.7MiB allocated; 35ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 83521 837
Fresh000
Picked224
Done011
Total1 83751 842
Accuracy
100.0%
Counts
1 842 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x y))
100.0%
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
97.0%
(sqrt.f64 #s(approx (+ x y) y))
3.0%
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
3.0%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 34 to 33 computations (2.9% saved)

series17.0ms (0.6%)

Memory
-8.8MiB live, 38.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192919
Stop Event
iter-limit
Counts
13 → 42
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
#s(approx (+ x y) (*.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)
#s(literal -1 binary64)
Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.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 (+ x y)) (+.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 (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (/ y (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx (- (/ x y) -1) #s(literal 1 binary64))
#s(approx (- (/ x y) -1) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#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 -1/8 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 (+ x y)) (*.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 (sqrt x)) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (- (/ x y) -1) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))
#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 -1/8 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 (+ x y)) (*.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 (sqrt x)) (*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x y)) (+.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 (+ x y)) (+.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 (- (/ x y) -1) (/.f64 (+.f64 x y) 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 (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x))))
#s(approx (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) y))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#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 (sqrt x)) 1/2) (sqrt x)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ x y) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((sqrt (+ x y)) (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (/ y (sqrt x)) y (sqrt x) x 1/2 (sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) -1)
1.0ms
y
@-inf
((sqrt (+ x y)) (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (/ y (sqrt x)) y (sqrt x) x 1/2 (sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) -1)
1.0ms
x
@-inf
((sqrt (+ x y)) (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (/ y (sqrt x)) y (sqrt x) x 1/2 (sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) -1)
1.0ms
x
@inf
((sqrt (+ x y)) (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (/ y (sqrt x)) y (sqrt x) x 1/2 (sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) -1)
1.0ms
y
@inf
((sqrt (+ x y)) (+ (* (/ y (sqrt x)) 1/2) (sqrt x)) (/ y (sqrt x)) y (sqrt x) x 1/2 (sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) -1)

rewrite223.0ms (8.2%)

Memory
13.9MiB live, 385.6MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01569
02369
110069
230157
3103157
4315757
0843855
11982755
Stop Event
saturated
node-limit
iter-limit
Counts
13 → 897
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
#s(approx (+ x y) (*.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)
#s(literal -1 binary64)
Outputs
#s(approx (sqrt (+ x y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y x) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (fma.f64 #s(literal 1/2 binary64) y x))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x))) x)
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (neg.f64 x))) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 x) (*.f64 (sqrt.f64 x) x)) x)
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (neg.f64 y) (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x)))
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (fma.f64 y (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 y (sqrt.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) y))) x)
(/.f64 (fma.f64 (neg.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) y)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 y))) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (sqrt.f64 x) (/.f64 y (sqrt.f64 x)))) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) y))) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) x (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) y))) x)
(/.f64 (fma.f64 x (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 y))) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) y)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 x)) y)) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) x)) (neg.f64 x))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) x)) x)
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) x)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 y (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) x)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (neg.f64 (sqrt.f64 x))))
(/.f64 (fma.f64 y (neg.f64 (sqrt.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) x)) (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))) (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
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(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))
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(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
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(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
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(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 (sqrt.f64 x) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
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(fma.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) x (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (sqrt.f64 x) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (/.f64 x y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y)) (/.f64 (*.f64 (neg.f64 x) #s(literal 1/2 binary64)) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y)) (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 y)))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (neg.f64 y)))
(+.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (neg.f64 y)))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
#s(literal -1 binary64)

eval152.0ms (5.6%)

Memory
1.6MiB live, 341.0MiB allocated; 95ms collecting garbage
Compiler

Compiled 8 733 to 3 995 computations (54.3% saved)

prune21.0ms (0.8%)

Memory
0.8MiB live, 46.9MiB allocated; 8ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New9290929
Fresh000
Picked022
Done033
Total9295934
Accuracy
100.0%
Counts
934 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(sqrt.f64 (+.f64 x y))
100.0%
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
97.0%
(sqrt.f64 #s(approx (+ x y) y))
3.0%
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
3.0%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 72 to 61 computations (15.3% saved)

regimes12.0ms (0.4%)

Memory
-16.1MiB live, 31.4MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
Outputs
(sqrt.f64 (+.f64 x y))
Calls

4 calls:

4.0ms
(sqrt.f64 (+.f64 x y))
2.0ms
(+.f64 x y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(+.f64 x y)
100.0%1(sqrt.f64 (+.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))
Outputs
(sqrt.f64 #s(approx (+ x y) y))
Calls

4 calls:

1.0ms
(sqrt.f64 (+.f64 x y))
1.0ms
y
1.0ms
(+.f64 x y)
1.0ms
x
Results
AccuracySegmentsBranch
97.0%1(+.f64 x y)
97.0%1(sqrt.f64 (+.f64 x y))
97.0%1x
97.0%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB 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

4 calls:

1.0ms
(sqrt.f64 (+.f64 x y))
1.0ms
x
1.0ms
(+.f64 x y)
1.0ms
y
Results
AccuracySegmentsBranch
3.0%1x
3.0%1(+.f64 x y)
3.0%1(sqrt.f64 (+.f64 x y))
3.0%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations3.0ms (0.1%)

Memory
-43.1MiB live, 3.8MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess29.0ms (1.1%)

Memory
17.5MiB live, 61.3MiB allocated; 14ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 45 to 44 computations (2.2% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Profiling

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