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

Time bar (total: 789.0ms)

start0.0ms (0%)

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

analyze33.0ms (4.2%)

Memory
-26.5MiB live, 21.3MiB allocated; 21ms collecting garbage
Algorithm
1×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)

sample537.0ms (68%)

Memory
12.6MiB live, 571.9MiB allocated; 183ms collecting garbage
Samples
343.0ms8 256×0valid
15.0ms518×0invalid
Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-add!: 120.0ms (62.5% of total)
ival-sqrt: 70.0ms (36.4% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess6.0ms (0.8%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01430
11630
Stop Event
1×saturated
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)

series6.0ms (0.8%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
4 → 31
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite66.0ms (8.4%)

Memory
-20.5MiB live, 70.0MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0190780
0191666
01062634
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
35 → 39
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 y x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))
(+.f64 y x)
(+.f64 x y)
x
y
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/2 binary64))) x (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) #s(literal -1/8 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/2 binary64))) x (sqrt.f64 y)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (*.f64 (*.f64 y y) y)) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))))) x)))
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) y) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (sqrt.f64 x)))
#s(approx y y)
#s(approx (sqrt (+ x y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) y)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) y)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 y #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) y)))
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y)))

eval4.0ms (0.5%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 405 to 182 computations (55.1% saved)

prune2.0ms (0.2%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437
Accuracy
100.0%
Counts
37 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x y))
▶84.2%
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
▶98.8%
(sqrt.f64 #s(approx (+ x y) y))
▶3.1%
(sqrt.f64 #s(approx (+ x y) x))
Compiler

Compiled 23 to 23 computations (0% saved)

series7.0ms (0.8%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Counts
12 → 44
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ x y) x))
#s(approx (+ x y) x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
#s(literal 1 binary64)
Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 y))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (+ x y)))
#s(approx (+ (/ y x) 1) #s(hole binary64 (/ y x)))
#s(approx (+ (/ y x) 1) #s(hole binary64 (/ (+ x y) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (/ y x) 1) #s(hole binary64 1))
#s(approx (+ (/ y x) 1) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (/ y x) 1) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

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

rewrite54.0ms (6.9%)

Memory
6.4MiB live, 56.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0213991
0221873
01130841
Stop Event
1×iter-limit
1×iter-limit
1×node-limit
1×iter-limit
Counts
56 → 70
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ x y) x))
#s(approx (+ x y) x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 y))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (+ x y)))
#s(approx (+ (/ y x) 1) #s(hole binary64 (/ y x)))
#s(approx (+ (/ y x) 1) #s(hole binary64 (/ (+ x y) x)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 x))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (/ y x) 1) #s(hole binary64 1))
#s(approx (+ (/ y x) 1) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (/ y x) 1) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (+ (/ y x) 1) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(pow.f64 #s(approx (+ x y) x) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) x))
#s(approx (+ x y) x)
x
(pow.f64 #s(approx (+ x y) y) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y
(pow.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(*.f64 x (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (/.f64 y x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (/.f64 y x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y x) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (/.f64 y x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1 binary64)) (-.f64 (/.f64 y x) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
#s(literal 1 binary64)
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/2 binary64))) x (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) #s(literal -1/8 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 1/2 binary64))) x (sqrt.f64 y)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (* (+ (/ y x) 1) x) y)
#s(approx (* (+ (/ y x) 1) x) (+.f64 y x))
#s(approx (+ (/ y x) 1) (/.f64 y x))
#s(approx (+ (/ y x) 1) (/.f64 (+.f64 y x) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) (*.f64 y y) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -7 binary64))) (*.f64 (*.f64 y y) y)) #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (+ x y) x)
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (* (+ (/ y x) 1) x) x)
#s(approx (* (+ (/ y x) 1) x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x))
#s(approx (+ (/ y x) 1) #s(literal 1 binary64))
#s(approx (+ (/ y x) 1) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))) x)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64)))) x)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) (sqrt.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal 1/2 binary64))))) x)))
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (* (+ (/ y x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64)) x)))
#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) y) #s(literal -1/8 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 x #s(literal -5 binary64))) y) #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) #s(literal -1/8 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1/2 binary64))) y (sqrt.f64 x)))
#s(approx y y)
#s(approx (sqrt (+ x y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 y #s(literal -7 binary64))) (*.f64 (*.f64 x x) x)) #s(literal 1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (+ x y) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (* (+ (/ y x) 1) x) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (+ (/ y x) 1) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) y)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 y #s(literal -5 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) y)))
#s(approx (sqrt (+ x y)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (sqrt.f64 (pow.f64 y #s(literal -5 binary64)))) #s(literal -1 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (sqrt.f64 (pow.f64 y #s(literal -7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))) y)))
#s(approx (+ x y) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y)))
#s(approx (* (+ (/ y x) 1) x) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 x y)) #s(literal 1 binary64)) y)))

eval10.0ms (1.2%)

Memory
-27.2MiB live, 17.8MiB allocated; 4ms collecting garbage
Compiler

Compiled 592 to 296 computations (50% saved)

prune3.0ms (0.3%)

Memory
7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New57057
Fresh000
Picked033
Done011
Total57461
Accuracy
100.0%
Counts
61 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x y))
✓84.2%
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
✓98.8%
(sqrt.f64 #s(approx (+ x y) y))
✓3.1%
(sqrt.f64 #s(approx (+ x y) x))
Compiler

Compiled 40 to 38 computations (5% saved)

regimes8.0ms (1%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ x y) x))
(sqrt.f64 #s(approx (+ x y) y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))
Outputs
(sqrt.f64 (+.f64 x y))
Calls

4 calls:

2.0ms
y
2.0ms
(sqrt.f64 (+.f64 x y))
2.0ms
x
2.0ms
(+.f64 x y)
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)

regimes15.0ms (1.9%)

Memory
-22.3MiB live, 20.1MiB allocated; 11ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ x y) x))
(sqrt.f64 #s(approx (+ x y) y))
Outputs
(sqrt.f64 #s(approx (+ x y) y))
Calls

4 calls:

11.0ms
(sqrt.f64 (+.f64 x y))
1.0ms
(+.f64 x y)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
98.8%1(+.f64 x y)
98.8%1(sqrt.f64 (+.f64 x y))
98.8%1x
98.8%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.5%)

Memory
23.1MiB live, 23.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (+.f64 x y))
1.0ms
y
1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
3.1%1(+.f64 x y)
3.1%1(sqrt.f64 (+.f64 x y))
3.1%1y
3.1%1x
Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations5.0ms (0.6%)

Memory
7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 10 to 9 computations (10% saved)

preprocess30.0ms (3.8%)

Memory
7.7MiB live, 51.7MiB allocated; 9ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 42 to 41 computations (2.4% saved)

end0.0ms (0%)

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

Profiling

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