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

analyze923.0ms (0.8%)

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)

sample2.0min (98.9%)

Results

4.1s	4396×	1	valid-rival
2.2s	4386×	1	valid-sollya
1.1s	3736×	0	valid-rival
674.0ms	3733×	0	valid-sollya
394.0ms	1704×	0	invalid-rival
1.7s	1678×	0	invalid-sollya
4.0s	1659×	5	exit-rival
8.1s	1622×	5	exit-sollya
468.0ms	683×	1	invalid-rival
1.8s	659×	1	invalid-sollya
247.0ms	124×	2	valid-rival
240.0ms	124×	2	valid-sollya
359.0ms	37×	5	invalid-sollya
170.0ms	34×	1	exit-sollya
145.0ms	29×	0	exit-sollya

Bogosity

preprocess349.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1592×	`fma-neg`
430×	`sub-neg`
347×	`fma-define`
315×	`times-frac`
309×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	912
1	161	832
2	423	736
3	1139	734
4	3217	648
5	5929	648
6	6632	648
7	6888	648
8	7095	648
9	7228	648
10	7300	648

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (neg.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t)))
(+.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) (exp.f64 z)))) t)))
(neg.f64 (-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 (neg.f64 z))))) t)))
(+.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y (exp.f64 z)))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (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 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) (neg.f64 t))))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 (neg.f64 x) (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) (neg.f64 t)) x)
(-.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(-.f64 y (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (exp.f64 z)))) t))
(-.f64 y (/.f64 (log.f64 (fma.f64 x (exp.f64 z) (-.f64 #s(literal 1 binary64) x))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (+.f64 (exp.f64 z) #s(literal -1 binary64)))) t))
(-.f64 y (/.f64 (log1p.f64 (*.f64 x (expm1.f64 z))) t))
(-.f64 z (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 x)))) t))
(-.f64 z (/.f64 (log.f64 (fma.f64 y (exp.f64 x) (-.f64 #s(literal 1 binary64) y))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 x)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 x) #s(literal -1 binary64)))) t))
(-.f64 z (/.f64 (log1p.f64 (*.f64 y (expm1.f64 x))) t))
(-.f64 t (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) x))
(-.f64 t (/.f64 (log.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 z) #s(literal -1 binary64)))) x))
(-.f64 t (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (exp.f64 y)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 z (exp.f64 y) (-.f64 #s(literal 1 binary64) z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (exp.f64 y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (+.f64 (exp.f64 y) #s(literal -1 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 z (expm1.f64 y))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 t (exp.f64 z)))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 (exp.f64 z) t))) y))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) t (-.f64 #s(literal 1 binary64) t))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 #s(literal -1 binary64) (exp.f64 z)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (+.f64 (exp.f64 z) #s(literal -1 binary64)))) y))
(-.f64 x (/.f64 (log1p.f64 (*.f64 t (expm1.f64 z))) y))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 t)))) z))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (exp.f64 t) (-.f64 #s(literal 1 binary64) y))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 t)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 (exp.f64 t) #s(literal -1 binary64)))) z))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 t))) z))

Compiler

Compiled 17 to 12 computations (29.4% saved)

eval0.0ms (0%)

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

prune21.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.5%	(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))

Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`sub-neg`
5×	`*-commutative`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	54
1	31	54
2	42	54
3	50	54
4	56	54
5	58	54

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 17 to 12 computations (29.4% saved)

preprocess80.0ms (0.1%)

Compiler: Compiled 158 to 98 computations (38% saved)

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

analyze923.0ms (0.8%)

sample2.0min (98.9%)

preprocess349.0ms (0.3%)

eval0.0ms (0%)

prune21.0ms (0%)

simplify5.0ms (0%)

soundness1.0ms (0%)

preprocess80.0ms (0.1%)

end0.0ms (0%)

Profiling