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

Time bar (total: 1.0s)

analyze16.0ms (1.5%)

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 7 to 5 computations (28.6% saved)

sample727.0ms (71.7%)

Results
686.0ms8256×body256valid
29.0ms550×body256invalid
Bogosity

preprocess44.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
144×fma-def
32×associate--r+
28×sub-neg
22×cancel-sign-sub-inv
20×distribute-rgt-in
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01559
12455
23855
36055
412455
516755
623455
726255
826855
926955
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 (neg.f64 x) y))
(sqrt.f64 (+.f64 x (neg.f64 y)))
(sqrt.f64 (+.f64 y x))
Outputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 (neg.f64 x) y))
(sqrt.f64 (+.f64 y (neg.f64 x)))
(sqrt.f64 (-.f64 y x))
(sqrt.f64 (+.f64 x (neg.f64 y)))
(sqrt.f64 (-.f64 x y))
(sqrt.f64 (+.f64 y x))
(sqrt.f64 (+.f64 x y))
Symmetry

(sort x y)

Compiler

Compiled 18 to 9 computations (50% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(sqrt.f64 (+.f64 x y))
▶100.0%
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize20.0ms (2%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x y))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series3.0ms (0.2%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(sqrt.f64 (+.f64 x y))
0.0ms
x
@0
(sqrt.f64 (+.f64 x y))
0.0ms
y
@inf
(sqrt.f64 (+.f64 x y))
0.0ms
y
@0
(sqrt.f64 (+.f64 x y))
0.0ms
x
@-inf
(sqrt.f64 (+.f64 x y))

rewrite53.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
1534×pow1
1420×add-exp-log
1420×log1p-expm1-u
1420×expm1-log1p-u
1390×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114711
2194511
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))

simplify59.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
1006×unswap-sqr
694×distribute-lft-in
648×distribute-rgt-in
630×*-commutative
572×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131062
1246942
2626828
31937796
43831796
Stop Event
1×node limit
Counts
32 → 64
Calls
Call 1
Inputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))
(+.f64 (sqrt.f64 y) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))))
(+.f64 (sqrt.f64 y) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y)))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 y 2))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y))))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y)))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(pow.f64 (+.f64 x y) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
Outputs
(sqrt.f64 y)
(+.f64 (sqrt.f64 y) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y))
(+.f64 (sqrt.f64 y) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))))
(+.f64 (sqrt.f64 y) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))))))
(+.f64 (sqrt.f64 y) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x (*.f64 x -1/8)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (sqrt.f64 y)))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (fma.f64 -1/8 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (sqrt.f64 y)))
(+.f64 (sqrt.f64 y) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))))
(+.f64 (sqrt.f64 y) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y)))))))
(+.f64 (sqrt.f64 y) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (*.f64 1/16 (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))))))
(+.f64 (sqrt.f64 y) (fma.f64 (pow.f64 x 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (*.f64 x (*.f64 x (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))))))))
(+.f64 (sqrt.f64 y) (fma.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 y))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 x 1/16)) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y)))
(+.f64 (sqrt.f64 x) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) y))
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 y 2))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) y)))
(+.f64 (sqrt.f64 x) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)))))
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)) (sqrt.f64 x)))
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x)))
(+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (pow.f64 y 2))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 y 3))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 x)) y)))))
(+.f64 (sqrt.f64 x) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y y)) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) y))))
(+.f64 (sqrt.f64 x) (fma.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 y y) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(+.f64 (sqrt.f64 x) (fma.f64 (pow.f64 y 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 y (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/8 y))))))
(+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 y (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 y 1/16)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 y (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 y 1/16)))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 1 (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 y x)) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
(*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(pow.f64 (cbrt.f64 (+.f64 y x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 y x))) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(*.f64 (cbrt.f64 (+.f64 y x)) (sqrt.f64 (cbrt.f64 (+.f64 y x))))
(pow.f64 (cbrt.f64 (+.f64 y x)) 3/2)
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 y 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (hypot.f64 (pow.f64 y 3/2) (pow.f64 x 3/2)) (sqrt.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(pow.f64 (+.f64 x y) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 x y)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 x y)))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2))
(cbrt.f64 (pow.f64 (+.f64 y x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 y x)) 1))
(+.f64 (sqrt.f64 (+.f64 y x)) 0)
(sqrt.f64 (+.f64 y x))

eval18.0ms (1.8%)

Compiler

Compiled 983 to 601 computations (38.9% saved)

prune9.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done000
Total63265
Accuracy
100.0%
Counts
65 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x y))
▶98.6%
(sqrt.f64 y)
✓100.0%
(sqrt.f64 (+.f64 x y))
▶98.6%
(sqrt.f64 y)
Compiler

Compiled 20 to 14 computations (30% saved)

localize15.0ms (1.5%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Accuracy
100.0%
Counts
2 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(sqrt.f64 (+.f64 x y))
✓98.6%
(sqrt.f64 y)
Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes14.0ms (1.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
(sqrt.f64 (+.f64 x y))
Outputs
(sqrt.f64 (+.f64 x y))
Calls

4 calls:

4.0ms
(+.f64 x y)
3.0ms
(sqrt.f64 (+.f64 x y))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(sqrt.f64 (+.f64 x y))
100.0%1(+.f64 x y)
Compiler

Compiled 25 to 16 computations (36% saved)

regimes9.0ms (0.9%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 y)
Outputs
(sqrt.f64 y)
Calls

2 calls:

6.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
98.6%1x
98.6%1y
Compiler

Compiled 10 to 7 computations (30% saved)

simplify4.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
1916
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 y)
Outputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 y)
Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (2.1%)

Remove

(sort x y)

Compiler

Compiled 40 to 26 computations (35% saved)

Profiling

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