Metrics for Octave 3.8, jcobi/1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
100%	56.2%	0%	43.8%	0%	0%	0%	1

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival->: 0.0ms (0% of total)

sample1.2s (68.4%)

Results

581.0ms	6478×	256	valid
242.0ms	1058×	1024	valid
92.0ms	632×	512	valid
24.0ms	88×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

ival-add: 209.0ms (32.8% of total)

ival-div: 177.0ms (27.8% of total)

ival->: 134.0ms (21% of total)

ival-sub: 87.0ms (13.7% of total)

const: 16.0ms (2.5% of total)

ival-and: 13.0ms (2% of total)

Bogosity

preprocess419.0ms (23.6%)

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))

explain115.0ms (6.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
83	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`(-.f64 beta alpha)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`beta`

Results

30.0ms	364×	256	valid
22.0ms	90×	1024	valid
9.0ms	50×	512	valid
3.0ms	8×	2048	valid

Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 12.0ms (41.8% of total)

ival-div: 10.0ms (34.8% of total)

ival-sub: 5.0ms (17.4% of total)

const: 1.0ms (3.5% of total)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(/.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)

preprocess19.0ms (1.1%)

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

Octave 3.8, jcobi/1

analyze0.0ms (0%)

sample1.2s (68.4%)

preprocess419.0ms (23.6%)

explain115.0ms (6.5%)

eval0.0ms (0%)

prune5.0ms (0.3%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

preprocess19.0ms (1.1%)

end0.0ms (0%)

Profiling