Metrics for Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3

analyze349.0ms (5.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	6
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	7
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	9
28.1%	28.1%	71.7%	0.2%	0%	0%	0%	10
42.2%	42.1%	57.7%	0.2%	0%	0%	0%	11
42.2%	42.1%	57.7%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample6.2s (91.5%)

Results

1.3s	8255×	0	valid-rival
1.0s	8252×	0	valid-sollya
15.0ms	3×	0	exit-sollya
0.0ms	1×	1	valid-sollya
0.0ms	1×	1	valid-rival

Bogosity

preprocess135.0ms (2%)

Algorithm

1×	egg-herbie

Rules

622×	`fma-define`
537×	`div-sub`
481×	`distribute-lft-in`
456×	`distribute-rgt-in`
430×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1270
1	267	1254
2	856	1154
3	2972	1146

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 (neg.f64 x) (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 (neg.f64 y) z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (+.f64 (-.f64 t (neg.f64 z)) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 (neg.f64 t) z) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) (neg.f64 a))))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (/.f64 (-.f64 (neg.f64 y) z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (+.f64 (-.f64 t (neg.f64 z)) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 (neg.f64 t) z) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) (neg.f64 a)))))
(-.f64 y (/.f64 (-.f64 x z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 z (/.f64 (-.f64 y x) (/.f64 (+.f64 (-.f64 t x) #s(literal 1 binary64)) a)))
(-.f64 t (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 x z) #s(literal 1 binary64)) a)))
(-.f64 a (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) x)))
(-.f64 x (/.f64 (-.f64 z y) (/.f64 (+.f64 (-.f64 t y) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 t z) (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 a z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) y)))
(-.f64 x (/.f64 (-.f64 y t) (/.f64 (+.f64 (-.f64 z t) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y a) (/.f64 (+.f64 (-.f64 t a) #s(literal 1 binary64)) z)))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 a z) #s(literal 1 binary64)) t)))

Outputs
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 x (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) a x)
(fma.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 x (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) a x)
(fma.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(-.f64 (neg.f64 x) (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 (neg.f64 x) (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(-.f64 (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64)))) x)
(-.f64 x (/.f64 (-.f64 (neg.f64 y) z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 (neg.f64 y) z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 x (/.f64 (*.f64 (-.f64 (neg.f64 y) z) a) (+.f64 (-.f64 t z) #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a x)
(fma.f64 a (/.f64 (+.f64 y z) (+.f64 t (-.f64 #s(literal 1 binary64) z))) x)
(-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (+.f64 (-.f64 t (neg.f64 z)) #s(literal 1 binary64)) a)))
(-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (-.f64 t (-.f64 (neg.f64 z) #s(literal 1 binary64))) a)))
(-.f64 x (/.f64 (+.f64 y z) (/.f64 (+.f64 t (+.f64 z #s(literal 1 binary64))) a)))
(fma.f64 (/.f64 (-.f64 (neg.f64 z) y) (+.f64 z (+.f64 t #s(literal 1 binary64)))) a x)
(-.f64 x (/.f64 (+.f64 y z) (/.f64 (-.f64 t (-.f64 #s(literal -1 binary64) z)) a)))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 (neg.f64 t) z) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 (neg.f64 t) (-.f64 z #s(literal 1 binary64)))) a))
(-.f64 x (*.f64 a (/.f64 (-.f64 y z) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 t) z)))))
(fma.f64 (/.f64 (-.f64 z y) (-.f64 #s(literal 1 binary64) (+.f64 z t))) a x)
(fma.f64 a (/.f64 (-.f64 y z) (+.f64 z (+.f64 t #s(literal -1 binary64)))) x)
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) (neg.f64 a))))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) (neg.f64 a)))
(-.f64 x (/.f64 (*.f64 (-.f64 y z) (neg.f64 a)) (+.f64 (-.f64 t z) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a x)
(fma.f64 a (/.f64 (-.f64 z y) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a))))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) (neg.f64 a)))
(-.f64 x (/.f64 (*.f64 (-.f64 y z) (neg.f64 a)) (+.f64 (-.f64 t z) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a x)
(fma.f64 a (/.f64 (-.f64 z y) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(neg.f64 (-.f64 x (/.f64 (-.f64 (neg.f64 y) z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 (neg.f64 y) z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a)))
(+.f64 (neg.f64 x) (/.f64 (*.f64 (-.f64 (neg.f64 y) z) a) (+.f64 (-.f64 t z) #s(literal 1 binary64))))
(neg.f64 (fma.f64 (/.f64 (+.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a x))
(-.f64 (/.f64 (*.f64 a (+.f64 y z)) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(neg.f64 (-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (+.f64 (-.f64 t (neg.f64 z)) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (/.f64 (-.f64 y (neg.f64 z)) (/.f64 (-.f64 t (-.f64 (neg.f64 z) #s(literal 1 binary64))) a))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 y z) (/.f64 (+.f64 t (+.f64 z #s(literal 1 binary64))) a)))
(-.f64 (*.f64 (+.f64 y z) (/.f64 a (+.f64 z (+.f64 t #s(literal 1 binary64))))) x)
(-.f64 (/.f64 (+.f64 y z) (/.f64 (-.f64 t (-.f64 #s(literal -1 binary64) z)) a)) x)
(neg.f64 (-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 (neg.f64 t) z) #s(literal 1 binary64)) a))))
(neg.f64 (-.f64 x (*.f64 (/.f64 (-.f64 y z) (-.f64 (neg.f64 t) (-.f64 z #s(literal 1 binary64)))) a)))
(+.f64 (neg.f64 x) (*.f64 a (/.f64 (-.f64 y z) (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 t) z)))))
(-.f64 (/.f64 (*.f64 (-.f64 y z) a) (-.f64 #s(literal 1 binary64) (+.f64 z t))) x)
(fma.f64 a (/.f64 (-.f64 y z) (-.f64 #s(literal 1 binary64) (+.f64 z t))) (neg.f64 x))
(neg.f64 (-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) (neg.f64 a)))))
(-.f64 (neg.f64 x) (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 (neg.f64 x) (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(-.f64 (*.f64 a (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64)))) x)
(-.f64 y (/.f64 (-.f64 x z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(-.f64 y (*.f64 (/.f64 (-.f64 x z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) a))
(-.f64 y (*.f64 a (/.f64 (-.f64 x z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 x z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) a y)
(fma.f64 a (/.f64 (-.f64 x z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) y)
(-.f64 z (/.f64 (-.f64 y x) (/.f64 (+.f64 (-.f64 t x) #s(literal 1 binary64)) a)))
(-.f64 z (*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (-.f64 t x))) a))
(-.f64 z (/.f64 (-.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 t x)) a)))
(-.f64 z (*.f64 (-.f64 y x) (/.f64 a (-.f64 (+.f64 t #s(literal 1 binary64)) x))))
(fma.f64 a (/.f64 (-.f64 x y) (+.f64 t (-.f64 #s(literal 1 binary64) x))) z)
(-.f64 t (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 x z) #s(literal 1 binary64)) a)))
(-.f64 t (*.f64 (/.f64 (-.f64 y z) (+.f64 #s(literal 1 binary64) (-.f64 x z))) a))
(-.f64 t (*.f64 a (/.f64 (-.f64 y z) (-.f64 (+.f64 #s(literal 1 binary64) x) z))))
(fma.f64 (/.f64 (-.f64 z y) (+.f64 #s(literal 1 binary64) (-.f64 x z))) a t)
(fma.f64 a (/.f64 (-.f64 y z) (+.f64 #s(literal -1 binary64) (-.f64 z x))) t)
(-.f64 a (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) x)))
(-.f64 a (*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) x))
(-.f64 a (/.f64 (*.f64 (-.f64 y z) x) (+.f64 (-.f64 t z) #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x a)
(fma.f64 x (/.f64 (-.f64 y z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) a)
(-.f64 x (/.f64 (-.f64 z y) (/.f64 (+.f64 (-.f64 t y) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 z y) (+.f64 #s(literal 1 binary64) (-.f64 t y))) a))
(-.f64 x (/.f64 (-.f64 z y) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 t y)) a)))
(fma.f64 (/.f64 (-.f64 y z) (-.f64 (+.f64 t #s(literal 1 binary64)) y)) a x)
(fma.f64 a (/.f64 (-.f64 y z) (+.f64 t (-.f64 #s(literal 1 binary64) y))) x)
(-.f64 x (/.f64 (-.f64 t z) (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 t z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) a))
(-.f64 x (*.f64 a (/.f64 (-.f64 t z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 z t) (+.f64 (-.f64 y z) #s(literal 1 binary64))) a x)
(fma.f64 a (/.f64 (-.f64 z t) (+.f64 (-.f64 y z) #s(literal 1 binary64))) x)
(-.f64 x (/.f64 (-.f64 a z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) y)))
(-.f64 x (*.f64 (/.f64 (-.f64 a z) (+.f64 (-.f64 t z) #s(literal 1 binary64))) y))
(-.f64 x (*.f64 y (/.f64 (-.f64 a z) (+.f64 (-.f64 t z) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 a z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) y x)
(fma.f64 y (/.f64 (-.f64 a z) (+.f64 (-.f64 z t) #s(literal -1 binary64))) x)
(-.f64 x (/.f64 (-.f64 y t) (/.f64 (+.f64 (-.f64 z t) #s(literal 1 binary64)) a)))
(-.f64 x (*.f64 (/.f64 (-.f64 y t) (+.f64 #s(literal 1 binary64) (-.f64 z t))) a))
(-.f64 x (/.f64 (-.f64 y t) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) z) t) a)))
(fma.f64 (/.f64 (-.f64 t y) (+.f64 z (-.f64 #s(literal 1 binary64) t))) a x)
(fma.f64 a (/.f64 (-.f64 t y) (+.f64 z (-.f64 #s(literal 1 binary64) t))) x)
(-.f64 x (/.f64 (-.f64 y a) (/.f64 (+.f64 (-.f64 t a) #s(literal 1 binary64)) z)))
(-.f64 x (*.f64 (/.f64 (-.f64 y a) (+.f64 #s(literal 1 binary64) (-.f64 t a))) z))
(-.f64 x (/.f64 (-.f64 y a) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 t a)) z)))
(fma.f64 (/.f64 (-.f64 y a) (+.f64 #s(literal 1 binary64) (-.f64 t a))) (neg.f64 z) x)
(fma.f64 z (/.f64 (-.f64 a y) (+.f64 t (-.f64 #s(literal 1 binary64) a))) x)
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 a z) #s(literal 1 binary64)) t)))
(-.f64 x (*.f64 (/.f64 (-.f64 y z) (+.f64 #s(literal 1 binary64) (-.f64 a z))) t))
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) a) z) t)))
(fma.f64 (/.f64 (-.f64 z y) (+.f64 #s(literal 1 binary64) (-.f64 a z))) t x)
(fma.f64 t (/.f64 (-.f64 y z) (+.f64 #s(literal -1 binary64) (-.f64 z a))) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

eval1.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

70×	`unsub-neg`
44×	`neg-mul-1`
19×	`+-commutative`
16×	`sub-neg`
16×	`distribute-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	55
1	32	55
2	44	55
3	60	55
4	89	55
5	129	55
6	158	55
7	234	55
8	332	55
9	342	55
10	343	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))

Outputs
(-.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) #s(literal 1 binary64)) a)))
(+.f64 x (/.f64 (-.f64 y z) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 z t)) a)))

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess56.0ms (0.8%)

Compiler: Compiled 108 to 72 computations (33.3% saved)

Graphics.Rendering.Chart.SparkLine:renderSparkLine from Chart-1.5.3

analyze349.0ms (5.1%)

sample6.2s (91.5%)

preprocess135.0ms (2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify33.0ms (0.5%)

soundness1.0ms (0%)

preprocess56.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	20	55
1	32	55
2	44	55
3	60	55
4	89	55
5	129	55
6	158	55
7	234	55
8	332	55
9	342	55
10	343	55

Iter	Nodes	Cost
0	20	55
1	32	55
2	44	55
3	60	55
4	89	55
5	129	55
6	158	55
7	234	55
8	332	55
9	342	55
10	343	55

Iter	Nodes	Cost
0	20	55
1	32	55
2	44	55
3	60	55
4	89	55
5	129	55
6	158	55
7	234	55
8	332	55
9	342	55
10	343	55