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

Time bar (total: 1.4s)

analyze2.0ms (0.1%)

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)

sample742.0ms (52.6%)

Results
729.0ms8253×body256valid
0.0ms2×body1024valid
0.0ms1×body2048valid
Bogosity

preprocess56.0ms (4%)

Algorithm
1×egg-herbie
Rules
892×fma-def
164×associate--r+
146×sub-neg
122×unsub-neg
120×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02295
15091
210091
319691
448691
568991
6110191
7129091
8132491
9132791
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.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 (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 11 to 8 computations (27.3% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
6×associate-+r+
6×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11113
21813
32013
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 y z))

eval0.0ms (0%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Accurracy
100.0%
Counts
3 → 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)

localize21.0ms (1.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 15 to 6 computations (60% saved)

series2.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (+.f64 x y) z)
0.0ms
x
@inf
(+.f64 (+.f64 x y) z)
0.0ms
z
@inf
(+.f64 (+.f64 x y) z)
0.0ms
y
@inf
(+.f64 (+.f64 x y) z)
0.0ms
x
@0
(+.f64 (+.f64 x y) z)

rewrite63.0ms (4.5%)

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)

simplify64.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
1558×div-sub
1150×fma-neg
780×distribute-rgt-in
780×fma-def
780×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111451
13041401
210621371
355461371
Stop Event
1×node limit
Counts
75 → 57
Calls
Call 1
Inputs
(+.f64 y z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
x
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
x
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
y
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
y
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y x)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
z
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
z
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 z x))
(-.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 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
x
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
x
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 z x)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
y
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
y
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y x)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
z
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
z
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(-.f64 (+.f64 1 (+.f64 x (+.f64 y z))) 1)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y 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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z y) x))
(*.f64 (+.f64 x (+.f64 y z)) 1)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(*.f64 1 (+.f64 x (+.f64 y z)))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 2) (cbrt.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) (sqrt.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y 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 z (+.f64 y x)))))
(/.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 z x)))))
(*.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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z 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 z (+.f64 y x)))))
(/.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 z x)))))
(/.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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z 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 z (+.f64 y x)))))
(/.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 z x)))))
(/.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 z (+.f64 y x)))))
(/.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 z x)))))
(/.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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z 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 z (+.f64 y x)))))
(/.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 z x)))))
(/.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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z 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 z (+.f64 y x)) (/.f64 (-.f64 (-.f64 x y) z) (-.f64 (-.f64 x y) z)))
(/.f64 (+.f64 z (+.f64 y 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 (pow.f64 (+.f64 y x) 2) (*.f64 z z)) (+.f64 y (-.f64 x z)))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) 2)) (-.f64 (-.f64 z y) x))
(pow.f64 (+.f64 x (+.f64 y z)) 1)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 y z))) 3)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(pow.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3) 1/3)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 y z))) 2)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 2))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(log.f64 (exp.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 y z)) 3))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(exp.f64 (log.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 y z))) 1))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 y z))))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 1 x (+.f64 y z))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 1 (+.f64 x y) z)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 1 z (+.f64 x y))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (+.f64 x y))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 y z))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (cbrt.f64 (+.f64 x y)) z)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (+.f64 x y))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 y z))
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)) z)
(+.f64 y (+.f64 z x))
(+.f64 z (+.f64 y x))

eval11.0ms (0.8%)

Compiler

Compiled 703 to 252 computations (64.2% saved)

prune14.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558
Accurracy
100.0%
Counts
58 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(+.f64 z x)
▶52.1%
(+.f64 y z)
▶50.3%
(+.f64 y x)
50.4%
z
48.7%
x
▶98.4%
(+.f64 z x)
▶52.1%
(+.f64 y z)
▶50.3%
(+.f64 y x)
50.4%
z
48.7%
x
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize26.0ms (1.8%)

Compiler

Compiled 19 to 7 computations (63.2% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked033
Done000
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(+.f64 z x)
✓52.1%
(+.f64 y z)
✓50.3%
(+.f64 y x)
50.4%
z
48.7%
x
✓98.4%
(+.f64 z x)
✓52.1%
(+.f64 y z)
✓50.3%
(+.f64 y x)
50.4%
z
48.7%
x
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(+.f64 z x)
✓52.1%
(+.f64 y z)
✓50.3%
(+.f64 y x)
50.4%
z
48.7%
x
✓98.4%
(+.f64 z x)
✓52.1%
(+.f64 y z)
✓50.3%
(+.f64 y x)
50.4%
z
48.7%
x
Compiler

Compiled 52 to 36 computations (30.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked000
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(+.f64 z x)
✓52.1%
(+.f64 y z)
✓50.3%
(+.f64 y x)
50.4%
z
48.7%
x
Compiler

Compiled 45 to 26 computations (42.2% 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:

7.0ms
x
5.0ms
(+.f64 x y)
4.0ms
y
4.0ms
(+.f64 (+.f64 x y) z)
4.0ms
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)

regimes15.0ms (1%)

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:

6.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes39.0ms (2.8%)

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

3 calls:

17.0ms
x
14.0ms
z
7.0ms
y
Results
AccuracySegmentsBranch
82.4%4x
78.2%2y
82.0%4z
Compiler

Compiled 23 to 14 computations (39.1% saved)

regimes12.0ms (0.8%)

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

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
79.9%2x
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes31.0ms (2.2%)

Counts
2 → 4
Calls
Call 1
Inputs
x
z
Outputs
x
z
x
z
Calls

3 calls:

13.0ms
x
11.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
76.6%2y
80.1%4z
80.8%4x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes9.0ms (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:

2.0ms
z
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
48.7%1y
48.7%1z
48.7%1x
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch61.0ms (4.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-2.60341401393829e+20
-3502857845292706300.0
42.0ms
-1.7728740043568713e+65
-2.0829328322707493e+61
10.0ms
-7.3492354901398214e+137
-3.838480023018199e+136
Results
57.0ms352×body256valid
Compiler

Compiled 292 to 215 computations (26.4% saved)

bsearch10.0ms (0.7%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-2.60341401393829e+20
-3502857845292706300.0
Results
9.0ms112×body256valid
Compiler

Compiled 98 to 73 computations (25.5% saved)

bsearch124.0ms (8.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
-2.60341401393829e+20
-3502857845292706300.0
11.0ms
-1.7728740043568713e+65
-2.0829328322707493e+61
103.0ms
-7.3492354901398214e+137
-3.838480023018199e+136
Results
120.0ms352×body256valid
Compiler

Compiled 234 to 186 computations (20.5% saved)

simplify8.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×if-if-or-not
4×not-or
4×if-not
2×not-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032118
143118
246118
349118
450118
552118
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(if (<=.f64 x -169999999999999993188266208347676203079380110666676991454505476883714129585629047847371637975875925933973720068673223156035017938627985408) (+.f64 y x) (if (<=.f64 x -359999999999999998906341019418165364806343837358769262903164928) (+.f64 y z) (if (<=.f64 x -260000000000000000000) x (+.f64 y z))))
(if (<=.f64 x -15500000000000000000) (+.f64 y x) z)
(if (<=.f64 x -81999999999999995256128475224507200267887815072813960962457017605053537613401668797542956472971007306705241945517485182048040950492561408) x (if (<=.f64 x -22000000000000000313764669241588296131486159691790157990592512) z (if (<=.f64 x -260000000000000000000) x z)))
x
Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z (+.f64 x y))
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 x -169999999999999993188266208347676203079380110666676991454505476883714129585629047847371637975875925933973720068673223156035017938627985408) (+.f64 y x) (if (<=.f64 x -359999999999999998906341019418165364806343837358769262903164928) (+.f64 y z) (if (<=.f64 x -260000000000000000000) x (+.f64 y z))))
(if (<=.f64 x -169999999999999993188266208347676203079380110666676991454505476883714129585629047847371637975875925933973720068673223156035017938627985408) (+.f64 x y) (if (<=.f64 x -359999999999999998906341019418165364806343837358769262903164928) (+.f64 y z) (if (<=.f64 x -260000000000000000000) x (+.f64 y z))))
(if (<=.f64 x -15500000000000000000) (+.f64 y x) z)
(if (<=.f64 x -15500000000000000000) (+.f64 x y) z)
(if (<=.f64 x -81999999999999995256128475224507200267887815072813960962457017605053537613401668797542956472971007306705241945517485182048040950492561408) x (if (<=.f64 x -22000000000000000313764669241588296131486159691790157990592512) z (if (<=.f64 x -260000000000000000000) x z)))
x
Compiler

Compiled 73 to 45 computations (38.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess61.0ms (4.4%)

Remove

(sort x y z)

Compiler

Compiled 148 to 76 computations (48.6% saved)

Profiling

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