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

Time bar (total: 3.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-div, time spent: 0.0ms, 0.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.7s (54.1%)

Results
1.3s7196×256valid
121.0ms1059×256infinite
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 541.0ms
Operation ival-mult, time spent: 236.0ms, 44.0% of total-time
Operation ival-div, time spent: 136.0ms, 25.0% of total-time
Operation ival-add, time spent: 95.0ms, 18.0% of total-time
Operation ival-sub, time spent: 53.0ms, 10.0% of total-time
Operation const, time spent: 22.0ms, 4.0% of total-time
Bogosity

preprocess867.0ms (27.5%)

Algorithm
1×egg-herbie
Rules
1797×fma-neg
591×fma-define
309×sub-neg
176×associate-+l-
173×unsub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
00-0-(*.f64 y z)
00-0-(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
00-0-(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
00-0-(/.f64 #s(literal 1 binary64) #s(literal 8 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-z
00-0-#s(literal 1 binary64)
00-0-t
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 y z) #s(literal 2 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067728
1186652
2475576
31308576
43205576
53979576
64179576
74202576
84211576
94211576
104213576
115624576
125624576
135624576
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (neg.f64 t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (neg.f64 t)))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) y) (/.f64 (*.f64 x z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) z) (/.f64 (*.f64 y x) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) t) (/.f64 (*.f64 y z) #s(literal 2 binary64))) x)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 z y) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 t z) #s(literal 2 binary64))) y)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y t) #s(literal 2 binary64))) z)
Outputs
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (*.f64 y (/.f64 z #s(literal 2 binary64)))))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (+.f64 (/.f64 (*.f64 y z) #s(literal -2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64)))))
(-.f64 (+.f64 t (*.f64 #s(literal 1/8 binary64) x)) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64)))))
(-.f64 (+.f64 t (*.f64 #s(literal 1/8 binary64) x)) (/.f64 (*.f64 y z) #s(literal -2 binary64)))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (neg.f64 t))
(-.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 z (/.f64 y #s(literal 2 binary64)) t))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (*.f64 #s(literal 1/8 binary64) x) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) (neg.f64 x)) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (*.f64 y (/.f64 z #s(literal 2 binary64))))))
(-.f64 (neg.f64 t) (+.f64 (*.f64 x #s(literal -1/8 binary64)) (/.f64 (*.f64 y z) #s(literal -2 binary64))))
(-.f64 (fma.f64 #s(literal 1/8 binary64) x (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(-.f64 (*.f64 y (*.f64 z #s(literal 1/2 binary64))) (fma.f64 x #s(literal -1/8 binary64) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 (neg.f64 y) z) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 (/.f64 (*.f64 y z) #s(literal -2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y (neg.f64 z)) #s(literal 2 binary64))) t))
(neg.f64 (+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 (neg.f64 y) (/.f64 z #s(literal 2 binary64))))))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (-.f64 (/.f64 (*.f64 y z) #s(literal -2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(-.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(neg.f64 (+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) (neg.f64 t)))
(neg.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t))
(+.f64 (*.f64 x #s(literal -1/8 binary64)) (fma.f64 z (/.f64 y #s(literal 2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (/.f64 z #s(literal 2 binary64)) t))
(fma.f64 x #s(literal -1/8 binary64) (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) t))
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) (fma.f64 x #s(literal -1/8 binary64) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) y) (/.f64 (*.f64 x z) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) y) (*.f64 x (/.f64 z #s(literal 2 binary64)))))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) y (/.f64 (*.f64 x z) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) y (fma.f64 x (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) z) (/.f64 (*.f64 y x) #s(literal 2 binary64))) t)
(+.f64 t (-.f64 (*.f64 #s(literal 1/8 binary64) z) (*.f64 y (/.f64 x #s(literal 2 binary64)))))
(+.f64 t (fma.f64 #s(literal 1/8 binary64) z (/.f64 (*.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) z (fma.f64 y (/.f64 x #s(literal -2 binary64)) t))
(fma.f64 x (*.f64 y #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) z t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) t) (/.f64 (*.f64 y z) #s(literal 2 binary64))) x)
(+.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) t) (*.f64 y (/.f64 z #s(literal 2 binary64)))))
(+.f64 x (fma.f64 #s(literal 1/8 binary64) t (/.f64 (*.f64 y z) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) t (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) x))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 z y) #s(literal 2 binary64))) t)
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y z) #s(literal -2 binary64))) t)
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (*.f64 z #s(literal -1/2 binary64)) t))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 t z) #s(literal 2 binary64))) y)
(+.f64 y (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 t (/.f64 z #s(literal 2 binary64)))))
(+.f64 y (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 z t) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 t (*.f64 z #s(literal -1/2 binary64)) y))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 z (*.f64 t #s(literal -1/2 binary64)) y))
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y t) #s(literal 2 binary64))) z)
(+.f64 z (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 t #s(literal 2 binary64)))))
(+.f64 z (fma.f64 #s(literal 1/8 binary64) x (/.f64 (*.f64 y t) #s(literal -2 binary64))))
(fma.f64 #s(literal 1/8 binary64) x (fma.f64 y (/.f64 t #s(literal -2 binary64)) z))
(fma.f64 y (*.f64 t #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x z))
Symmetry

(sort y z)

Results
101.0ms446×256valid
13.0ms66×256infinite
Compiler

Compiled 121 to 79 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-div, time spent: 27.0ms, 48.0% of total-time
Operation ival-mult, time spent: 16.0ms, 29.0% of total-time
Operation ival-sub, time spent: 6.0ms, 11.0% of total-time
Operation const, time spent: 4.0ms, 7.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 34 to 22 computations (35.3% saved)

prune3.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
Compiler

Compiled 15 to 11 computations (26.7% saved)

localize84.0ms (2.7%)

Results
59.0ms223×256valid
6.0ms33×256infinite
Compiler

Compiled 42 to 27 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-div, time spent: 19.0ms, 53.0% of total-time
Operation ival-mult, time spent: 11.0ms, 30.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time
Operation ival-add, time spent: 1.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune2.0ms (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 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes16.0ms (0.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
Calls

9 calls:

5.0ms
(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
1.0ms
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
1.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(+.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64))) t)
100.0%1(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (*.f64 y z) #s(literal 2 binary64)))
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x)
100.0%1(/.f64 (*.f64 y z) #s(literal 2 binary64))
100.0%1(*.f64 y z)
Compiler

Compiled 77 to 61 computations (20.8% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01843
12743
23943
34943
45743
56243
66443
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 y (/.f64 z #s(literal 2 binary64)))) t)

soundness426.0ms (13.5%)

Rules
1797×fma-neg
591×fma-define
309×sub-neg
176×associate-+l-
173×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067728
1186652
2475576
31308576
43205576
53979576
64179576
74202576
84211576
94211576
104213576
115624576
125624576
135624576
Stop Event
1×done
1×saturated
Compiler

Compiled 104 to 68 computations (34.6% saved)

preprocess42.0ms (1.3%)

Remove

(sort y z)

Compiler

Compiled 154 to 114 computations (26% saved)

end0.0ms (0%)

Profiling

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