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

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample5.6s (92.1%)

Results

1.4s	8255×	0	valid-rival
978.0ms	8250×	0	valid-sollya
25.0ms	5×	0	exit-sollya
1.0ms	1×	4	valid-rival
0.0ms	1×	4	valid-sollya

Bogosity

preprocess408.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	728
1	186	652
2	475	576
3	1308	576
4	3205	576
5	3979	576
6	4179	576
7	4202	576
8	4211	576
9	4211	576
10	4213	576
11	5624	576
12	5624	576
13	5624	576

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)

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(+.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(literal 8 binary64)) x) (/.f64 (.f64 y z) #s(literal 2 binary64))) t)

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify5.0ms (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)

Iter	Nodes	Cost
0	21	43
1	32	43
2	40	43
3	52	43
4	61	43
5	67	43
6	69	43

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)

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 (*.f64 y z) #s(literal 2 binary64))) t)

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 15 to 11 computations (26.7% saved)

preprocess65.0ms (1.1%)

Remove: (sort y z)
Compiler: Compiled 154 to 114 computations (26% saved)

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

analyze1.0ms (0%)

sample5.6s (92.1%)

preprocess408.0ms (6.7%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify5.0ms (0.1%)

soundness1.0ms (0%)

preprocess65.0ms (1.1%)

end0.0ms (0%)

Profiling