Metrics for System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

analyze443.0ms (8%)

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
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
3.1%	3.1%	96.7%	0.2%	0%	0%	0%	8
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	9
4.7%	4.7%	95.1%	0.2%	0%	0%	0%	10
16.4%	16.4%	83.4%	0.2%	0%	0%	0%	11
18.8%	17.5%	76%	0.2%	0%	6.2%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample4.7s (84%)

Results

1.4s	1625×	body	8192	exit
1.0s	4752×	body	256	valid
1.0s	1812×	body	1024	valid
420.0ms	1394×	body	512	valid
293.0ms	2017×	body	256	invalid
275.0ms	290×	body	2048	valid
72.0ms	213×	body	1024	invalid
64.0ms	272×	body	512	invalid
1.0ms	8×	body	256	infinite

Bogosity

preprocess447.0ms (8%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-/r*`
433×	`+-commutative`
406×	`*-commutative`
386×	`associate-/l*`
355×	`fma-neg`

Problems

105×	`(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))`
77×	`(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))`
54×	No Errors
20×	`(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	912
1	159	840
2	421	744
3	1126	734
4	3114	648
5	6443	648

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (exp.f64 z) (neg.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) (neg.f64 y) (+.f64 1 y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (/.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (/.f64 y (exp.f64 z)) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 (neg.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) (neg.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) (neg.f64 t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 (neg.f64 y)) (*.f64 (exp.f64 z) (neg.f64 y)))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) (neg.f64 y) (+.f64 1 y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (-.f64 1 (exp.f64 z)))) t) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t) x)
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (/.f64 y (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 (neg.f64 z))))) t) x)
(-.f64 (/.f64 (log1p.f64 (-.f64 (/.f64 y (exp.f64 z)) y)) t) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 (neg.f64 z)))) t) x)
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) t))
(-.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 1 x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 1 x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 -1 (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 (exp.f64 z) -1))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 1 y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) -1))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 1 y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) -1))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 1 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 -1 (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (exp.f64 y) -1))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 1 t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 -1 (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 (exp.f64 z) -1))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 1 y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 -1 (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 t) -1))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))

Compiler

Compiled 60 to 28 computations (53.3% saved)

System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

analyze443.0ms (8%)

sample4.7s (84%)

preprocess447.0ms (8%)

end0.0ms (0%)

Profiling