Metrics for Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
100%	49.9%	0%	0.1%	0%	49.9%	0%	3

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample3.8s (94.9%)

Results

915.0ms	8253×	0	valid-sollya
749.0ms	8253×	0	valid-rival
732.0ms	8253×	0	valid-baseline
0.0ms	2×	1	valid-sollya
0.0ms	2×	1	valid-baseline
0.0ms	2×	1	valid-rival
0.0ms	1×	0	valid-sollya+rival
0.0ms	1×	0	valid-rival+sollya

Bogosity

preprocess158.0ms (4%)

Algorithm

1×	egg-herbie

Rules

518×	`associate-+l-`
482×	`fma-neg`
469×	`unsub-neg`
433×	`distribute-neg-in`
386×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	594
1	132	570
2	506	518
3	2341	518
4	5688	518
5	7130	518

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 (neg.f64 y)))) (neg.f64 y)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (neg.f64 z))
(neg.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 (neg.f64 y)))) (neg.f64 y)) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (neg.f64 z)))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x #s(literal 1/2 binary64)) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z #s(literal 1/2 binary64)) (log.f64 z))) z) y)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) z))
(-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z))
(-.f64 (-.f64 (-.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) z)
(-.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 (neg.f64 y)))) (neg.f64 y)) z)
(-.f64 (-.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)) (log.f64 (neg.f64 y)))) y) z)
(-.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (log.f64 (neg.f64 y)))) (+.f64 y z))
(-.f64 (fma.f64 (log.f64 (neg.f64 y)) (+.f64 y #s(literal -1/2 binary64)) x) (+.f64 y z))
(-.f64 x (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (log.f64 (neg.f64 y)) (+.f64 y z)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (neg.f64 z))
(+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y (neg.f64 z)))
(+.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) (neg.f64 y))) z)
(+.f64 x (+.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
(+.f64 x (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z))
(neg.f64 (+.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y z)))
(+.f64 (neg.f64 (-.f64 (-.f64 y x) (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)
(-.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
(+.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) (-.f64 z y)))
(+.f64 x (-.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 (neg.f64 y) #s(literal 1/2 binary64)) (log.f64 (neg.f64 y)))) (neg.f64 y)) z))
(neg.f64 (-.f64 (-.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 y)) (log.f64 (neg.f64 y)))) y) z))
(neg.f64 (-.f64 (-.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (log.f64 (neg.f64 y)))) (+.f64 y z)))
(+.f64 z (-.f64 y (fma.f64 (log.f64 (neg.f64 y)) (+.f64 y #s(literal -1/2 binary64)) x)))
(+.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1/2 binary64) y) (log.f64 (neg.f64 y)) z))
(neg.f64 (-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) (neg.f64 z)))
(neg.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y (neg.f64 z))))
(neg.f64 (+.f64 (-.f64 x (fma.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y) (neg.f64 y))) z))
(-.f64 (neg.f64 x) (+.f64 z (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y)))
(-.f64 (neg.f64 x) (+.f64 y (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) z)))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x #s(literal 1/2 binary64)) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x #s(literal 1/2 binary64)) (log.f64 x))) (-.f64 x z))
(+.f64 (fma.f64 (log.f64 x) (-.f64 #s(literal -1/2 binary64) x) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 x) (-.f64 #s(literal -1/2 binary64) x) (-.f64 x z)))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) (-.f64 y x))
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) x))
(+.f64 z (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) y) x))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 #s(literal -1/2 binary64) y) z) x))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z #s(literal 1/2 binary64)) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) z) (log.f64 z))) (-.f64 z y))
(+.f64 x (fma.f64 (log.f64 z) (-.f64 #s(literal -1/2 binary64) z) (-.f64 z y)))
(-.f64 x (fma.f64 (+.f64 #s(literal 1/2 binary64) z) (log.f64 z) (-.f64 y z)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
8×	`sub-neg`
7×	`*-commutative`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	27	50
2	46	50
3	60	50
4	69	50
5	72	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (log.f64 y)))) z)

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess36.0ms (0.9%)

Compiler: Compiled 90 to 60 computations (33.3% saved)

Numeric.SpecFunctions:stirlingError from math-functions-0.1.5.2

analyze2.0ms (0%)

sample3.8s (94.9%)

preprocess158.0ms (4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

preprocess36.0ms (0.9%)

end0.0ms (0%)

Profiling