Metrics for Octave 3.8, jcobi/1

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample2.7s (86.1%)

Results

259.0ms	6105×	0	valid-sollya
338.0ms	6105×	0	valid-rival-baseline
364.0ms	6104×	0	valid-rival
218.0ms	1800×	1	valid-rival-baseline
251.0ms	1800×	1	valid-rival
168.0ms	1800×	1	valid-sollya
75.0ms	351×	2	valid-rival
59.0ms	351×	2	valid-rival-baseline
43.0ms	351×	2	valid-sollya

Bogosity

preprocess417.0ms (13.2%)

Algorithm

1×	egg-herbie

Rules

3066×	`fma-neg`
537×	`div-sub`
410×	`sub-neg`
350×	`associate-/r*`
332×	`distribute-rgt-in`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	38	359
1	96	351
2	204	351
3	534	343
4	1351	343
5	3461	343
6	6068	343
7	6956	343
8	7145	343
9	7181	343
10	7228	343
11	7228	343
12	7435	343
13	7550	343
14	7552	343
15	7552	315

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) (-.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (-.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha #s(literal -2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 #s(literal 2 binary64) alpha)))) #s(literal 2 binary64))
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (-.f64 alpha beta)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 beta (-.f64 #s(literal 2 binary64) alpha))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/2 binary64)) (+.f64 alpha (-.f64 #s(literal -2 binary64) beta))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (-.f64 alpha beta) #s(literal -4 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 #s(literal 2 binary64) beta)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta)))) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (-.f64 #s(literal -2 binary64) alpha)))))
(fma.f64 (+.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 #s(literal 2 binary64) (-.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (-.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta alpha) (-.f64 beta (+.f64 alpha #s(literal -2 binary64))))) #s(literal -2 binary64))
(-.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 #s(literal 2 binary64) alpha))) #s(literal 2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 #s(literal 2 binary64) alpha))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (-.f64 #s(literal -2 binary64) beta)))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (-.f64 alpha beta) #s(literal -4 binary64))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))
(-.f64 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 #s(literal -2 binary64) alpha))) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (-.f64 alpha beta)))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) (-.f64 alpha beta) #s(literal 4 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.6%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	26	49
2	30	49
3	32	49
4	33	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess15.0ms (0.5%)

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

Octave 3.8, jcobi/1

analyze2.0ms (0.1%)

sample2.7s (86.1%)

preprocess417.0ms (13.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess15.0ms (0.5%)

end0.0ms (0%)

Profiling