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

analyze12.0ms (0.4%)

Memory

3.9MiB live, 3.9MiB allocated

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 30 to 23 computations (23.3% saved)

sample2.6s (94.1%)

Memory

0.9MiB live, 746.8MiB allocated

Samples

587.0ms	8 253×	0	valid-sollya
507.0ms	8 253×	0	valid-baseline
493.0ms	8 253×	0	valid-rival
1.0ms	2×	2	valid-baseline
0.0ms	2×	2	valid-rival
0.0ms	1×	1	valid-baseline
0.0ms	2×	2	valid-sollya
0.0ms	1×	1	valid-rival
0.0ms	1×	1	valid-sollya

Bogosity

preprocess122.0ms (4.4%)

Memory

5.1MiB live, 22.0MiB allocated

Algorithm

1×	egg-herbie

Rules

518×	`associate-+l-`
482×	`fmm-def`
447×	`unsub-neg`
434×	`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	7132	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%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

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%)

Memory

0.4MiB live, 0.4MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess23.0ms (0.9%)

Memory: 0.9MiB live, 32.4MiB allocated
Compiler: Compiled 90 to 60 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.4%)

sample2.6s (94.1%)

preprocess122.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

preprocess23.0ms (0.9%)

end0.0ms (0%)

Profiling