Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

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 13 to 10 computations (23.1% saved)

sample1.0s (72.5%)

Results
902.0ms7221×body256valid
102.0ms1035×body256infinite
Bogosity

preprocess153.0ms (11%)

Algorithm
1×egg-herbie
Rules
2136×fma-def
204×associate-*r*
192×distribute-rgt-in
190×cancel-sign-sub-inv
184×associate-/r*
Problems
255×No Errors
1×(/.f64 (*.f64 x y) 2)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183374
2164330
3375330
4802330
51605330
62540330
72690330
82706330
92706330
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8)))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8)))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8)))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
Outputs
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 (neg.f64 y))) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 -2 y)) (/.f64 z 8))
(fma.f64 (/.f64 x -2) y (*.f64 -1/8 z))
(fma.f64 y (*.f64 -1/2 x) (*.f64 z -1/8))
(fma.f64 y (*.f64 x -1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 (neg.f64 y))) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 -2 y)) (/.f64 z 8))
(fma.f64 (/.f64 x -2) y (*.f64 -1/8 z))
(fma.f64 y (*.f64 -1/2 x) (*.f64 z -1/8))
(fma.f64 y (*.f64 x -1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 (neg.f64 z) 8))
(+.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 1/8 z))
(fma.f64 x (*.f64 1/2 y) (*.f64 z 1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z 1/8))
(neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 x) y) 2) (/.f64 z 8)))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 (neg.f64 z) 8))
(+.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 1/8 z))
(fma.f64 x (*.f64 1/2 y) (*.f64 z 1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z 1/8))
(neg.f64 (-.f64 (/.f64 (*.f64 x (neg.f64 y)) 2) (/.f64 z 8)))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 (neg.f64 z) 8))
(+.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (/.f64 z 8))
(fma.f64 x (/.f64 y 2) (*.f64 1/8 z))
(fma.f64 x (*.f64 1/2 y) (*.f64 z 1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z 1/8))
(neg.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 (neg.f64 z) 8)))
(-.f64 (/.f64 x (/.f64 2 (neg.f64 y))) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 -2 y)) (/.f64 z 8))
(fma.f64 (/.f64 x -2) y (*.f64 -1/8 z))
(fma.f64 y (*.f64 -1/2 x) (*.f64 z -1/8))
(fma.f64 y (*.f64 x -1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 y x) 2) (/.f64 z 8))
(-.f64 (/.f64 x (/.f64 2 y)) (/.f64 z 8))
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(fma.f64 (/.f64 x 2) y (*.f64 -1/8 z))
(fma.f64 x (/.f64 y 2) (*.f64 z -1/8))
(fma.f64 x (*.f64 1/2 y) (*.f64 z -1/8))
(fma.f64 x (*.f64 y 1/2) (*.f64 z -1/8))
(-.f64 (/.f64 (*.f64 z y) 2) (/.f64 x 8))
(-.f64 (/.f64 z (/.f64 2 y)) (/.f64 x 8))
(-.f64 (*.f64 (/.f64 z 2) y) (/.f64 x 8))
(fma.f64 (/.f64 z 2) y (/.f64 x -8))
(fma.f64 y (/.f64 z 2) (*.f64 -1/8 x))
(fma.f64 y (*.f64 1/2 z) (*.f64 x -1/8))
(fma.f64 x -1/8 (*.f64 z (*.f64 y 1/2)))
(-.f64 (/.f64 (*.f64 x z) 2) (/.f64 y 8))
(-.f64 (/.f64 x (/.f64 2 z)) (/.f64 y 8))
(fma.f64 (/.f64 x 2) z (/.f64 y -8))
(fma.f64 z (/.f64 x 2) (*.f64 -1/8 y))
(fma.f64 x (*.f64 1/2 z) (*.f64 y -1/8))
(fma.f64 x (*.f64 z 1/2) (*.f64 y -1/8))
Symmetry

(sort x y)

Compiler

Compiled 41 to 25 computations (39% saved)

eval1.0ms (0.1%)

Compiler

Compiled 53 to 35 computations (34% saved)

prune2.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
▶100.0%
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
Compiler

Compiled 24 to 18 computations (25% saved)

localize42.0ms (3%)

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes20.0ms (1.5%)

Accuracy

Total -0.2b remaining (-∞%)

Threshold costs -0.2b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
Outputs
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
Calls

7 calls:

3.0ms
(/.f64 (*.f64 x y) 2)
3.0ms
(/.f64 z 8)
3.0ms
x
3.0ms
(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
100.0%1(/.f64 (*.f64 x y) 2)
100.0%1(*.f64 x y)
100.0%1(/.f64 z 8)
Compiler

Compiled 65 to 48 computations (26.2% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
6×sub-neg
6×+-commutative
6×*-commutative
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01534
11934
22634
33034
43334
53434
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
Outputs
(-.f64 (*.f64 (/.f64 y 2) x) (/.f64 z 8))
Compiler

Compiled 12 to 9 computations (25% saved)

soundness136.0ms (9.7%)

Rules
2136×fma-def
204×associate-*r*
192×distribute-rgt-in
190×cancel-sign-sub-inv
184×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041398
183374
2164330
3375330
4802330
51605330
62540330
72690330
82706330
92706330
Stop Event
1×saturated
Compiler

Compiled 30 to 21 computations (30% saved)

end0.0ms (0%)

preprocess26.0ms (1.8%)

Remove

(sort x y)

Compiler

Compiled 96 to 72 computations (25% saved)

Profiling

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