Metrics for Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A

analyze3.0ms (0%)

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%	49.9%	0.2%	0%	49.9%	0%	3
0%	0%	49.9%	0.2%	0%	49.9%	0%	4
100%	25%	0%	0.2%	0%	74.9%	0%	5

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample9.6s (94.9%)

Results

1.6s	8254×	0	valid-rival
1.1s	8234×	0	valid-sollya
100.0ms	20×	0	exit-sollya
1.0ms	2×	2	valid-rival
0.0ms	2×	2	valid-sollya

Bogosity

preprocess370.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg`
537×	`unsub-neg`
418×	`associate-+l-`
386×	`sub-neg`
337×	`distribute-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	824
1	177	800
2	603	764
3	2270	720
4	5093	720
5	6595	720
6	7471	720

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (log.f64 t))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y (-.f64 z (log.f64 t))))
(+.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) z)) (log.f64 t))
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (log.f64 t) z)) y)
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
(+.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (log.f64 t))
(-.f64 (*.f64 x (log.f64 y)) (+.f64 y (-.f64 z (log.f64 t))))
(+.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) z)) (log.f64 t))
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (log.f64 t) z)) y)
(+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) y) z) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) (+.f64 y z)))
(+.f64 (log.f64 t) (-.f64 (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) y) z))
(-.f64 (-.f64 (log.f64 t) (fma.f64 x (log.f64 y) y)) z)
(-.f64 (log.f64 t) (+.f64 y (fma.f64 x (log.f64 y) z)))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) (neg.f64 y)) z) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 (neg.f64 y))) (+.f64 (neg.f64 y) z)))
(+.f64 (log.f64 t) (-.f64 (fma.f64 x (log.f64 (neg.f64 y)) y) z))
(-.f64 (fma.f64 x (log.f64 (neg.f64 y)) y) (-.f64 z (log.f64 t)))
(+.f64 y (fma.f64 x (log.f64 (neg.f64 y)) (-.f64 (log.f64 t) z)))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (neg.f64 z)) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (neg.f64 z)))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 y)) (-.f64 y z)))
(+.f64 (log.f64 t) (fma.f64 x (log.f64 y) (-.f64 z y)))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (neg.f64 t)))
(+.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (log.f64 (neg.f64 t)))
(+.f64 (fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) z)) (log.f64 (neg.f64 t)))
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (log.f64 (neg.f64 t)) z)) y)
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 (neg.f64 x) (log.f64 y)) y) z) (log.f64 t)))
(neg.f64 (+.f64 (log.f64 t) (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) (+.f64 y z))))
(-.f64 (neg.f64 (log.f64 t)) (-.f64 (-.f64 (*.f64 (log.f64 y) (neg.f64 x)) y) z))
(+.f64 (-.f64 z (log.f64 t)) (fma.f64 x (log.f64 y) y))
(+.f64 z (-.f64 (fma.f64 x (log.f64 y) y) (log.f64 t)))
(+.f64 y (-.f64 (fma.f64 x (log.f64 y) z) (log.f64 t)))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 (neg.f64 y))) (neg.f64 y)) z) (log.f64 t)))
(neg.f64 (+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 (neg.f64 y))) (+.f64 (neg.f64 y) z))))
(-.f64 (+.f64 (neg.f64 (fma.f64 x (log.f64 (neg.f64 y)) y)) z) (log.f64 t))
(-.f64 (-.f64 z (fma.f64 x (log.f64 (neg.f64 y)) y)) (log.f64 t))
(-.f64 (-.f64 z (log.f64 t)) (fma.f64 x (log.f64 (neg.f64 y)) y))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (neg.f64 z)) (log.f64 t)))
(neg.f64 (+.f64 (log.f64 t) (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) (neg.f64 z))))
(-.f64 (neg.f64 (log.f64 t)) (-.f64 (*.f64 x (log.f64 y)) (-.f64 y z)))
(-.f64 (neg.f64 (log.f64 t)) (fma.f64 x (log.f64 y) (-.f64 z y)))
(-.f64 y (+.f64 (log.f64 t) (fma.f64 x (log.f64 y) z)))
(neg.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (neg.f64 t))))
(neg.f64 (+.f64 (-.f64 (*.f64 x (log.f64 y)) (+.f64 y z)) (log.f64 (neg.f64 t))))
(-.f64 (+.f64 (neg.f64 (-.f64 (*.f64 x (log.f64 y)) y)) z) (log.f64 (neg.f64 t)))
(-.f64 (-.f64 z (fma.f64 x (log.f64 y) (neg.f64 y))) (log.f64 (neg.f64 t)))
(-.f64 y (fma.f64 x (log.f64 y) (-.f64 (log.f64 (neg.f64 t)) z)))
(+.f64 (-.f64 (-.f64 (*.f64 y (log.f64 x)) x) z) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 y (log.f64 x)) (+.f64 x z)))
(-.f64 (fma.f64 y (log.f64 x) (neg.f64 x)) (-.f64 z (log.f64 t)))
(-.f64 (fma.f64 y (log.f64 x) (-.f64 (log.f64 t) z)) x)
(fma.f64 y (log.f64 x) (-.f64 (-.f64 (log.f64 t) z) x))
(+.f64 (-.f64 (-.f64 (*.f64 z (log.f64 y)) y) x) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 (log.f64 y) z) (+.f64 y x)))
(+.f64 (log.f64 t) (-.f64 (*.f64 (log.f64 y) z) (+.f64 x y)))
(fma.f64 (log.f64 y) z (neg.f64 (+.f64 x (-.f64 y (log.f64 t)))))
(-.f64 (fma.f64 (log.f64 y) z (-.f64 (log.f64 t) x)) y)
(fma.f64 (log.f64 y) z (-.f64 (log.f64 t) (+.f64 x y)))
(+.f64 (-.f64 (-.f64 (*.f64 t (log.f64 y)) y) z) (log.f64 x))
(+.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 y) t) (+.f64 y z)))
(+.f64 (log.f64 x) (fma.f64 (log.f64 y) t (-.f64 (neg.f64 y) z)))
(-.f64 (fma.f64 (log.f64 y) t (-.f64 (log.f64 x) z)) y)
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 z)) z) y) (log.f64 t))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 z)) (+.f64 z y)))
(+.f64 (log.f64 t) (-.f64 (*.f64 x (log.f64 z)) (+.f64 y z)))
(-.f64 (fma.f64 x (log.f64 z) (neg.f64 z)) (-.f64 y (log.f64 t)))
(-.f64 (fma.f64 x (log.f64 z) (-.f64 (log.f64 t) y)) z)
(fma.f64 x (log.f64 z) (-.f64 (-.f64 (log.f64 t) z) y))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 t)) t) z) (log.f64 y))
(+.f64 (log.f64 y) (-.f64 (*.f64 x (log.f64 t)) (+.f64 t z)))
(+.f64 (log.f64 y) (-.f64 (*.f64 x (log.f64 t)) (+.f64 z t)))
(-.f64 (fma.f64 x (log.f64 t) (-.f64 (log.f64 y) z)) t)
(fma.f64 x (log.f64 t) (-.f64 (log.f64 y) (+.f64 z t)))
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) t) (log.f64 z))
(+.f64 (log.f64 z) (-.f64 (*.f64 x (log.f64 y)) (+.f64 y t)))
(+.f64 (log.f64 z) (fma.f64 x (log.f64 y) (-.f64 (neg.f64 y) t)))
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (log.f64 z) t)) y)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`sub-neg`
3×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	48
1	24	48
2	32	48
3	36	48
4	38	48

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

Outputs
(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))

soundness1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess129.0ms (1.3%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

Numeric.SpecFunctions:incompleteGamma from math-functions-0.1.5.2, A

analyze3.0ms (0%)

sample9.6s (94.9%)

preprocess370.0ms (3.7%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify5.0ms (0%)

soundness1.0ms (0%)

preprocess129.0ms (1.3%)

end0.0ms (0%)

Profiling