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

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze40.0ms (2.5%)

Memory
-26.7MiB live, 35.4MiB allocated; 38ms 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)

sample611.0ms (38.1%)

Memory
27.0MiB live, 970.0MiB allocated; 260ms collecting garbage
Samples
390.0ms8 256×0valid
15.0ms496×0invalid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-sqrt: 99.0ms (59.8% of total)
ival-add!: 65.0ms (39.3% of total)
adjust: 1.0ms (0.6% of total)
Bogosity

preprocess35.0ms (2.2%)

Memory
20.9MiB live, 66.1MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01430
13126
25926
314126
434326
588526
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)

series19.0ms (1.2%)

Memory
0.8MiB live, 45.8MiB allocated; 7ms 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:

TimeVariablePoint
4.0ms
x
inf
3.0ms
x
-inf
1.0ms
y
-inf
1.0ms
y
inf
0.0ms
x
0

rewrite93.0ms (5.8%)

Memory
-3.7MiB live, 141.1MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
069
1129
2229
3589
41479
54549
625029
041789
Stop Event
iter-limit
node-limit
iter-limit
Counts
4 → 28
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 16 binary64)) #s(literal 1/32 binary64))
(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 16 binary64)) #s(literal 1/16 binary64))
(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 (+.f64 y x) #s(literal 1 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))
(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

eval8.0ms (0.5%)

Memory
-30.6MiB live, 14.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 949 to 219 computations (76.9% saved)

prune2.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh000
Picked011
Done000
Total53457
Accuracy
100.0%
Counts
57 → 4
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)))))
97.8%
(sqrt.f64 #s(approx (+ x y) y))
2.8%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 29 to 24 computations (17.2% saved)

series13.0ms (0.8%)

Memory
30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0174816
Stop Event
iter-limit
Counts
12 → 36
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) 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 (+ 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 (+ 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 (+ 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 #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 (+ 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 (+ 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:

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

rewrite163.0ms (10.1%)

Memory
-16.4MiB live, 270.8MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01461
02061
15149
215049
374249
0426249
Stop Event
iter-limit
node-limit
iter-limit
Counts
12 → 1 764
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) 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))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
x
(pow.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) y))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))))
(fabs.f64 (sqrt.f64 #s(approx (+ x y) y)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))) (neg.f64 (sqrt.f64 #s(approx (+ x y) y))))
(*.f64 (sqrt.f64 #s(approx (+ x y) y)) (sqrt.f64 #s(approx (+ x y) y)))
(pow.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)) #s(literal 1/2 binary64))
(pow.f64 #s(approx (+ x y) y) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ x y) y)) #s(literal 2 binary64))
#s(approx (+ x y) y)
(neg.f64 (neg.f64 #s(approx (+ x y) y)))
(sqrt.f64 (*.f64 #s(approx (+ x y) y) #s(approx (+ x y) y)))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y)))) (sqrt.f64 #s(approx (+ x y) y))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))))))
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ x y) y)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) y))))))
(fabs.f64 (neg.f64 #s(approx (+ x y) y)))
(fabs.f64 #s(approx (+ x y) y))
y
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) (+.f64 y x)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(fabs.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(*.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) #s(literal 2 binary64))
#s(approx (+ x y) (+.f64 y x))
(neg.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x))))
(sqrt.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))) (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))))
(fabs.f64 (*.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))))
(fabs.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x))))
(fabs.f64 #s(approx (+ x y) (+.f64 y x)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 2 binary64)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) y))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (sqrt.f64 (+.f64 y x)) y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) y) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) y) (/.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 y x)) y) (/.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (/.f64 y #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) y) (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y))
(*.f64 (fabs.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (+.f64 y x) y)) (fabs.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (fabs.f64 y) (fabs.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (/.f64 y (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y) (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 y x)))))
(*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 y x))) (neg.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) y))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) y))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 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))
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))) (neg.f64 (+.f64 y y)))
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 y y))
(/.f64 (fma.f64 (+.f64 y y) #s(literal 1 binary64) (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (+.f64 y y) (neg.f64 y))) (neg.f64 (+.f64 y y)))
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 (+.f64 y y) y)) (+.f64 y y))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 (+.f64 y y) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 y y) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 y y) (neg.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (neg.f64 (+.f64 y y)))
(/.f64 (fma.f64 (+.f64 y y) y (*.f64 #s(literal 2 binary64) (*.f64 y x))) (+.f64 y y))
(/.f64 (fma.f64 (+.f64 y y) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 y y))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64) (*.f64 (neg.f64 y) (+.f64 y y))) (neg.f64 (+.f64 y y)))
(/.f64 (fma.f64 (*.f64 y x) #s(literal 2 binary64) (*.f64 y (+.f64 y y))) (+.f64 y y))
(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 y y))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 y y) y) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 y) x))) (+.f64 y y))
(/.f64 (-.f64 (*.f64 (+.f64 y y) (neg.f64 y)) (*.f64 #s(literal 2 binary64) (*.f64 y x))) (neg.f64 (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (+.f64 y y)))) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) (neg.f64 (+.f64 y y)))) (neg.f64 (+.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y (neg.f64 (+.f64 y y)))) (+.f64 y y))
(/.f64 (-.f64 (+.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y y)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (-.f64 (neg.f64 y) x) y)) (fabs.f64 (neg.f64 y)))
(/.f64 (fabs.f64 (*.f64 (+.f64 y x) y)) (fabs.f64 y))
(/.f64 (fma.f64 #s(literal 2 binary64) y (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 y x)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (neg.f64 y))
(/.f64 (*.f64 (+.f64 y x) y) y)
(/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (+.f64 y x) #s(literal 1 binary64))
(neg.f64 (-.f64 (neg.f64 y) x))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 0 binary64) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (*.f64 y #s(literal 0 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 y y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (+.f64 y x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 (+.f64 y x) y)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 y x)))) (*.f64 (*.f64 y #s(literal 0 binary64)) (-.f64 (/.f64 x y) #s(literal -1 binary64))))
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(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 x)))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (*.f64 (/.f64 #s(literal 0 binary64) y) x))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 y (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y)) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 0 binary64))))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) x)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) y)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 x (/.f64 #s(literal 0 binary64) y)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 x)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 y (/.f64 (/.f64 x y) y) (*.f64 (/.f64 #s(literal 0 binary64) y) x))
(fma.f64 y (/.f64 (/.f64 x y) y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(fma.f64 y (/.f64 (/.f64 x y) y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 0 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 #s(literal 0 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 0 binary64) y) x))
(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 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 x y) #s(literal 0 binary64)) (/.f64 x y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 x y))
(+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 0 binary64))))
(+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 x y) (*.f64 (neg.f64 x) (/.f64 #s(literal 0 binary64) y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 x y) #s(literal 0 binary64)))
(+.f64 (/.f64 x y) (*.f64 x (/.f64 #s(literal 0 binary64) y)))
(+.f64 (/.f64 x y) (*.f64 (*.f64 x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x y) (*.f64 (*.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 0 binary64) y) (neg.f64 x)))
(+.f64 (/.f64 x y) (*.f64 #s(literal 0 binary64) (/.f64 x y)))
(+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 0 binary64) y) x))
(+.f64 (/.f64 x y) (/.f64 (*.f64 x #s(literal 0 binary64)) y))
(+.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 0 binary64) x) y))

eval253.0ms (15.8%)

Memory
9.5MiB live, 476.5MiB allocated; 86ms collecting garbage
Compiler

Compiled 39 644 to 7 377 computations (81.4% saved)

prune37.0ms (2.3%)

Memory
-11.8MiB live, 83.8MiB allocated; 16ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1 78911 790
Fresh000
Picked123
Done011
Total1 79041 794
Accuracy
100.0%
Counts
1 794 → 4
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)))
97.8%
(sqrt.f64 #s(approx (+ x y) y))
2.8%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 29 to 24 computations (17.2% saved)

series10.0ms (0.6%)

Memory
30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0175818
Stop Event
iter-limit
Counts
8 → 36
Calls
Call 1
Inputs
(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)
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 (+ 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 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 (- (/ 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 (+ 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 (- (/ 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 (+ 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:

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

rewrite98.0ms (6.1%)

Memory
-14.1MiB live, 172.3MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0941
01341
12941
28029
329429
4123929
0402829
Stop Event
iter-limit
node-limit
iter-limit
Counts
8 → 564
Calls
Call 1
Inputs
(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)
x
y
#s(literal -1 binary64)
Outputs
(pow.f64 (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/4 binary64))
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(sqrt.f64 #s(approx (+ x y) (+.f64 y x)))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(fabs.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))
(*.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))))
(*.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) (sqrt.f64 #s(approx (+ x y) (+.f64 y x))))
(pow.f64 (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))) #s(literal 1/2 binary64))
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ x y) (+.f64 y x))) #s(literal 2 binary64))
#s(approx (+ x y) (+.f64 y x))
(neg.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x))))
(sqrt.f64 (*.f64 #s(approx (+ x y) (+.f64 y x)) #s(approx (+ x y) (+.f64 y x))))
(fabs.f64 (neg.f64 #s(approx (+ x y) (+.f64 y x))))
(fabs.f64 #s(approx (+ x y) (+.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (neg.f64 y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y) (*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) y (*.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -2 binary64))
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x
y
#s(literal -1 binary64)

eval70.0ms (4.4%)

Memory
35.2MiB live, 170.8MiB allocated; 15ms collecting garbage
Compiler

Compiled 11 653 to 2 955 computations (74.6% saved)

prune61.0ms (3.8%)

Memory
-39.7MiB live, 32.7MiB allocated; 128ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New5920592
Fresh000
Picked011
Done033
Total5924596
Accuracy
100.0%
Counts
596 → 4
Alt Table
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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)))
97.8%
(sqrt.f64 #s(approx (+ x y) y))
2.8%
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes32.0ms (2%)

Memory
-30.8MiB live, 66.7MiB allocated; 9ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
2 → 1
3 → 1
5 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
Call 2
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))
Outputs
(sqrt.f64 #s(approx (+ x y) y))
Call 3
Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 #s(approx (+ x y) y))
(sqrt.f64 (+.f64 x y))
Outputs
(sqrt.f64 (+.f64 x y))
Call 4
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)))))
Outputs
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
Calls

16 calls:

7.0ms
(+.f64 x y)
2.0ms
(+.f64 x y)
2.0ms
x
2.0ms
y
2.0ms
(sqrt.f64 (+.f64 x y))
Results
AccuracySegmentsBranch
2.8%1(+.f64 x y)
2.8%1(sqrt.f64 (+.f64 x y))
2.8%1x
2.8%1y
97.8%1(+.f64 x y)
97.8%1(sqrt.f64 (+.f64 x y))
97.8%1x
97.8%1y
100.0%1(+.f64 x y)
100.0%1(sqrt.f64 (+.f64 x y))
100.0%1x
100.0%1y
100.0%1(+.f64 x y)
100.0%1(sqrt.f64 (+.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 77 to 65 computations (15.6% saved)

derivations26.0ms (1.6%)

Memory
37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 29 to 16 computations (44.8% saved)

preprocess35.0ms (2.2%)

Memory
-16.5MiB live, 78.9MiB allocated; 8ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 91 to 68 computations (25.3% saved)

end0.0ms (0%)

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

Profiling

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