Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 953.0ms)

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 11 to 8 computations (27.3% saved)

sample802.0ms (84.1%)

Results
637.0ms7232×body256valid
113.0ms1024×body256infinite
Bogosity

preprocess61.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
1164×fma-def
232×associate-*r*
200×cancel-sign-sub-inv
186×distribute-lft-neg-in
156×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027145
189135
2207109
3568109
41124109
51626109
61699109
71711109
81713109
91713109
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y 4) z))
(-.f64 (neg.f64 x) (*.f64 (*.f64 y 4) z))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) 4) z))
(-.f64 x (*.f64 (*.f64 y 4) (neg.f64 z)))
(-.f64 y (*.f64 (*.f64 x 4) z))
(-.f64 z (*.f64 (*.f64 y 4) x))
(-.f64 x (*.f64 (*.f64 z 4) y))
Outputs
(-.f64 x (*.f64 (*.f64 y 4) z))
(-.f64 x (*.f64 y (*.f64 4 z)))
(-.f64 x (*.f64 4 (*.f64 z y)))
(fma.f64 z (*.f64 y -4) x)
(fma.f64 y (*.f64 z -4) x)
(-.f64 (neg.f64 x) (*.f64 (*.f64 y 4) z))
(-.f64 (neg.f64 x) (*.f64 y (*.f64 4 z)))
(fma.f64 -1 x (*.f64 z (*.f64 y -4)))
(-.f64 (*.f64 z (*.f64 y -4)) x)
(fma.f64 z (*.f64 y -4) (neg.f64 x))
(-.f64 x (*.f64 (*.f64 (neg.f64 y) 4) z))
(-.f64 x (*.f64 z (neg.f64 (*.f64 y 4))))
(+.f64 x (*.f64 4 (*.f64 z y)))
(fma.f64 (*.f64 y 4) z x)
(fma.f64 y (*.f64 4 z) x)
(-.f64 x (*.f64 (*.f64 y 4) (neg.f64 z)))
(-.f64 x (*.f64 z (neg.f64 (*.f64 y 4))))
(+.f64 x (*.f64 4 (*.f64 z y)))
(fma.f64 (*.f64 y 4) z x)
(fma.f64 y (*.f64 4 z) x)
(-.f64 y (*.f64 (*.f64 x 4) z))
(-.f64 y (*.f64 x (*.f64 4 z)))
(-.f64 y (*.f64 z (*.f64 x 4)))
(fma.f64 z (*.f64 x -4) y)
(-.f64 z (*.f64 (*.f64 y 4) x))
(-.f64 z (*.f64 x (*.f64 y 4)))
(+.f64 z (*.f64 x (*.f64 y -4)))
(fma.f64 x (*.f64 y -4) z)
(-.f64 x (*.f64 (*.f64 z 4) y))
(-.f64 x (*.f64 y (*.f64 4 z)))
(-.f64 x (*.f64 4 (*.f64 z y)))
(fma.f64 z (*.f64 y -4) x)
(fma.f64 y (*.f64 z -4) x)
Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify24.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
738×fma-def
90×cancel-sign-sub-inv
86×distribute-lft-neg-in
54×sub-neg
46×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0919
11919
24915
310715
415915
522015
631415
738715
851315
972515
1081115
1182315
Stop Event
1×saturated
Counts
1 → 5
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y 4) z))
Outputs
(-.f64 x (*.f64 (*.f64 y 4) z))
(-.f64 x (*.f64 4 (*.f64 y z)))
(fma.f64 y (*.f64 z -4) x)
(fma.f64 -4 (*.f64 y z) x)
(fma.f64 z (*.f64 y -4) x)

eval1.0ms (0.1%)

Compiler

Compiled 35 to 19 computations (45.7% saved)

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New415
Fresh011
Picked000
Done000
Total426
Accurracy
100.0%
Counts
6 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 x (*.f64 (*.f64 y 4) z))
▶100.0%
(-.f64 x (*.f64 (*.f64 y 4) z))
Compiler

Compiled 20 to 14 computations (30% saved)

localize29.0ms (3%)

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accurracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(-.f64 x (*.f64 (*.f64 y 4) z))
Compiler

Compiled 20 to 14 computations (30% saved)

simplify4.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
12×sub-neg
12×+-commutative
10×neg-mul-1
10×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
11719
23519
34519
45319
55619
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y 4) z))
Outputs
(-.f64 x (*.f64 (*.f64 y 4) z))
Compiler

Compiled 10 to 7 computations (30% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess29.0ms (3.1%)

Remove

(sort y z)

Compiler

Compiled 60 to 42 computations (30% saved)

Profiling

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