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

Time bar (total: 1.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample703.0ms (50.8%)

Results
685.0ms8250×body256valid
0.0ms3×body2048valid
0.0ms2×body1024valid
0.0ms1×body512valid
Bogosity

preprocess77.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
892×fma-def
164×associate--r+
146×sub-neg
122×unsub-neg
120×distribute-rgt-in
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022108
150104
2100104
3196104
4486104
5689104
61101104
71290104
81324104
91327104
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 (+.f64 x y) z)
(+.f64 (+.f64 (neg.f64 x) y) z)
(+.f64 (+.f64 x (neg.f64 y)) z)
(+.f64 (+.f64 x y) (neg.f64 z))
(+.f64 (+.f64 y x) z)
(+.f64 (+.f64 z y) x)
(+.f64 (+.f64 x z) y)
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 (neg.f64 x) y) z)
(+.f64 z (+.f64 y (neg.f64 x)))
(+.f64 z (-.f64 y x))
(+.f64 y (-.f64 z x))
(-.f64 z (-.f64 x y))
(+.f64 (+.f64 x (neg.f64 y)) z)
(+.f64 z (-.f64 x y))
(+.f64 x (-.f64 z y))
(+.f64 (+.f64 x y) (neg.f64 z))
(-.f64 (+.f64 x y) z)
(+.f64 x (-.f64 y z))
(+.f64 (+.f64 y x) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 z y) x)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 x z) y)
(+.f64 x (+.f64 y z))
Symmetry

(sort x y z)

Compiler

Compiled 23 to 11 computations (52.2% saved)

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

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

Compiled 16 to 10 computations (37.5% saved)

localize20.0ms (1.5%)

Localize:

Found 1 expressions with local error:

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

Compiled 15 to 6 computations (60% saved)

series1.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite60.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
1980×pow1
1842×add-exp-log
1842×log1p-expm1-u
1842×expm1-log1p-u
178×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116013
2242413
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
Outputs
(-.f64 (+.f64 1 (+.f64 x (+.f64 y z))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y z))) (/.f64 (*.f64 z z) (+.f64 x (-.f64 y z))))
(*.f64 (+.f64 x (+.f64 y z)) 1)
(*.f64 1 (+.f64 x (+.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2) (cbrt.f64 (+.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) (sqrt.f64 (+.f64 x (+.f64 y z))))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (-.f64 y z))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y z)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (+.f64 x y) z))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))) (neg.f64 (+.f64 x (-.f64 y z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 y z) (+.f64 y z)) (*.f64 x (+.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y z) (+.f64 y z))) (-.f64 x (+.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) 2)) (-.f64 z (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 y z)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 y z))))
(fma.f64 1 x (+.f64 y z))
(fma.f64 1 (+.f64 x y) z)
(fma.f64 1 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) z)

simplify71.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
1586×div-sub
1086×associate-*r*
1046×associate-*l*
756×fma-def
632×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091451
13021401
210211371
369471371
Stop Event
1×node limit
Counts
75 → 59
Calls
Call 1
Inputs
(+.f64 y z)
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
x
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
x
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x z)
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
y
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
y
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x y)
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
z
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
z
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(+.f64 x (+.f64 y z))
(-.f64 (+.f64 1 (+.f64 x (+.f64 y z))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y z))) (/.f64 (*.f64 z z) (+.f64 x (-.f64 y z))))
(*.f64 (+.f64 x (+.f64 y z)) 1)
(*.f64 1 (+.f64 x (+.f64 y z)))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2) (cbrt.f64 (+.f64 x (+.f64 y z))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) (sqrt.f64 (+.f64 x (+.f64 y z))))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (-.f64 y z))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y z)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (+.f64 x y) z))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))) (neg.f64 (+.f64 x (-.f64 y z))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 y z) (+.f64 y z)) (*.f64 x (+.f64 y z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y z) (+.f64 y z))) (-.f64 x (+.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) 2)) (-.f64 z (+.f64 x y)))
(pow.f64 (+.f64 x (+.f64 y z)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 y z))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 y z))))
(exp.f64 (log.f64 (+.f64 x (+.f64 y z))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 y z))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 y z))))
(fma.f64 1 x (+.f64 y z))
(fma.f64 1 (+.f64 x y) z)
(fma.f64 1 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 y z))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (+.f64 x y))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y z))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) z)
Outputs
(+.f64 y z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
x
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
x
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x z)
(+.f64 z x)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
y
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
y
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x y)
(+.f64 y x)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
z
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
z
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(-.f64 (+.f64 1 (+.f64 x (+.f64 y z))) 1)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(-.f64 (/.f64 (pow.f64 (+.f64 x y) 2) (+.f64 x (-.f64 y z))) (/.f64 (*.f64 z z) (+.f64 x (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(*.f64 (+.f64 x (+.f64 y z)) 1)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(*.f64 1 (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2) (cbrt.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) (sqrt.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z (-.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z z (*.f64 (+.f64 y x) (+.f64 y (-.f64 x z)))))
(*.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))) (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z (-.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z z (*.f64 (+.f64 y x) (+.f64 y (-.f64 x z)))))
(/.f64 1 (/.f64 (+.f64 x (-.f64 y z)) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y)))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z (-.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z z (*.f64 (+.f64 y x) (+.f64 y (-.f64 x z)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3)) (+.f64 (*.f64 z z) (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 (+.f64 x y) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z (-.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z z (*.f64 (+.f64 y x) (+.f64 y (-.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z (-.f64 z (+.f64 x y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) 1) (+.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z (-.f64 (-.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (+.f64 y x) 3)) (fma.f64 z z (*.f64 (+.f64 y x) (+.f64 y (-.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x y) 2) (*.f64 z z))) (neg.f64 (+.f64 x (-.f64 y z))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 y z) (+.f64 y z)) (*.f64 x (+.f64 y z)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)) (fma.f64 x x (*.f64 (+.f64 y z) (-.f64 (+.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 y z) 3)) (fma.f64 (+.f64 y z) (+.f64 y (-.f64 z x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 y z) (+.f64 y z))) (-.f64 x (+.f64 y z)))
(/.f64 (+.f64 y (+.f64 z x)) (/.f64 (-.f64 x (+.f64 y z)) (-.f64 x (+.f64 y z))))
(/.f64 (+.f64 y (+.f64 z x)) 1)
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 x y) 2)) (-.f64 z (+.f64 x y)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 x (-.f64 y z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 z (+.f64 y x)))
(pow.f64 (+.f64 x (+.f64 y z)) 1)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 3)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(pow.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3) 1/3)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) 2)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 2))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(log.f64 (exp.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(exp.f64 (log.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 y z))) 1))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 y z))))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 1 x (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 1 (+.f64 x y) z)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 1 z (+.f64 x y))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (+.f64 x y))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) z)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (+.f64 x y))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y z))
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) z)
(+.f64 (+.f64 y z) x)
(+.f64 y (+.f64 z x))

eval10.0ms (0.7%)

Compiler

Compiled 699 to 245 computations (64.9% saved)

prune17.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New54559
Fresh000
Picked011
Done000
Total54660
Accuracy
100.0%
Counts
60 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 x y) z)
▶98.5%
(+.f64 z x)
▶48.5%
(+.f64 y z)
▶52.6%
(+.f64 y x)
47.2%
z
50.8%
x
✓100.0%
(+.f64 (+.f64 x y) z)
▶98.5%
(+.f64 z x)
▶48.5%
(+.f64 y z)
▶52.6%
(+.f64 y x)
47.2%
z
50.8%
x
Compiler

Compiled 68 to 46 computations (32.4% saved)

localize26.0ms (1.9%)

Compiler

Compiled 19 to 7 computations (63.2% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked033
Done011
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 x y) z)
✓98.5%
(+.f64 z x)
✓48.5%
(+.f64 y z)
✓52.6%
(+.f64 y x)
47.2%
z
50.8%
x
✓100.0%
(+.f64 (+.f64 x y) z)
✓98.5%
(+.f64 z x)
✓48.5%
(+.f64 y z)
✓52.6%
(+.f64 y x)
47.2%
z
50.8%
x
Compiler

Compiled 68 to 46 computations (32.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune4.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 x y) z)
✓98.5%
(+.f64 z x)
✓48.5%
(+.f64 y z)
✓52.6%
(+.f64 y x)
47.2%
z
50.8%
x
✓100.0%
(+.f64 (+.f64 x y) z)
✓98.5%
(+.f64 z x)
✓48.5%
(+.f64 y z)
✓52.6%
(+.f64 y x)
47.2%
z
50.8%
x
Compiler

Compiled 68 to 46 computations (32.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done044
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(+.f64 (+.f64 x y) z)
✓98.5%
(+.f64 z x)
✓48.5%
(+.f64 y z)
✓52.6%
(+.f64 y x)
47.2%
z
50.8%
x
Compiler

Compiled 53 to 31 computations (41.5% saved)

regimes26.0ms (1.9%)

Counts
6 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 (+.f64 x y) z)
Calls

5 calls:

6.0ms
(+.f64 (+.f64 x y) z)
5.0ms
(+.f64 x y)
5.0ms
y
5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 x y) z)
100.0%1(+.f64 x y)
Compiler

Compiled 45 to 26 computations (42.2% saved)

regimes32.0ms (2.3%)

Counts
5 → 1
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
Outputs
(+.f64 z x)
Calls

3 calls:

22.0ms
z
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes33.0ms (2.4%)

Counts
4 → 2
Calls
Call 1
Inputs
x
z
(+.f64 y x)
(+.f64 y z)
Outputs
(+.f64 y x)
(+.f64 y z)
Calls

3 calls:

14.0ms
y
11.0ms
x
7.0ms
z
Results
AccuracySegmentsBranch
79.5%2x
79.1%4y
84.0%2z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes7.0ms (0.5%)

Counts
3 → 2
Calls
Call 1
Inputs
x
z
(+.f64 y x)
Outputs
(+.f64 y x)
z
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
83.7%2z
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes7.0ms (0.5%)

Counts
2 → 2
Calls
Call 1
Inputs
x
z
Outputs
x
z
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
82.7%2z
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes8.0ms (0.6%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
50.8%1y
50.8%1x
50.8%1z
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch18.0ms (1.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.352256976549192e+55
1.8046055359194462e+59
Results
16.0ms128×body256valid
Compiler

Compiled 126 to 90 computations (28.6% saved)

bsearch11.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
8.352256976549192e+55
1.8046055359194462e+59
Results
10.0ms128×body256valid
Compiler

Compiled 110 to 82 computations (25.5% saved)

bsearch11.0ms (0.8%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
8.352256976549192e+55
1.8046055359194462e+59
Results
10.0ms128×body256valid
Compiler

Compiled 94 to 74 computations (21.3% saved)

simplify6.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02272
12672
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(if (<=.f64 z 2950000000000000064221684402299072237747255243097621135360) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z 3799999999999999870113200684767016490761862205266370494464) (+.f64 y x) z)
(if (<=.f64 z 5500000000000000178794520703784878169782272149865166274560) x z)
x
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 x y))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 z 2950000000000000064221684402299072237747255243097621135360) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z 2950000000000000064221684402299072237747255243097621135360) (+.f64 x y) (+.f64 y z))
(if (<=.f64 z 3799999999999999870113200684767016490761862205266370494464) (+.f64 y x) z)
(if (<=.f64 z 3799999999999999870113200684767016490761862205266370494464) (+.f64 x y) z)
(if (<=.f64 z 5500000000000000178794520703784878169782272149865166274560) x z)
x
Compiler

Compiled 51 to 33 computations (35.3% saved)

soundness187.0ms (13.5%)

Rules
1586×div-sub
1586×div-sub
1086×associate-*r*
1086×associate-*r*
1046×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01091451
13021401
210211371
369471371
01091451
13021401
210211371
369471371
Stop Event
1×node limit
1×node limit
Compiler

Compiled 18 to 10 computations (44.4% saved)

end0.0ms (0%)

preprocess39.0ms (2.8%)

Remove

(sort x y z)

Compiler

Compiled 104 to 52 computations (50% saved)

Profiling

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