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

analyze13.0ms (0.4%)

Memory

4.1MiB live, 4.1MiB allocated

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 33 to 29 computations (12.1% saved)

sample2.6s (87.1%)

Memory

-13.3MiB live, 840.2MiB allocated

Samples

589.0ms	8 256×	valid-sollya
519.0ms	8 256×	valid-baseline
474.0ms	8 256×	valid-rival

Bogosity

preprocess342.0ms (11.3%)

Memory

-4.3MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 797×	`fmm-def`
591×	`fma-define`
296×	`sub-neg`
174×	`associate-+l-`
171×	`distribute-lft-neg-in`

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	3973	576
6	4161	576
7	4184	576
8	4193	576
9	4193	576
10	4195	576
11	5606	576
12	5606	576
13	5606	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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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))
(fma.f64 y (*.f64 z #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/8 binary64) x 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%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(+.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)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

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)

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 15 to 11 computations (26.7% saved)

preprocess30.0ms (1%)

Memory: 0.9MiB live, 34.5MiB allocated
Remove: (sort y z)
Compiler: Compiled 154 to 114 computations (26% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.4%)

sample2.6s (87.1%)

preprocess342.0ms (11.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

preprocess30.0ms (1%)

end0.0ms (0%)

Profiling