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 16 computations (27.3% saved)

Precisions

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

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation ival->, time spent: 0.0ms, 0.0% of total-time

sample3.0s (60.1%)

Results

1.9s	7225×	0	valid
867.0ms	1030×	1	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-add, time spent: 819.0ms, 45.0% of total-time

Operation ival-div, time spent: 502.0ms, 27.0% of total-time

Operation ival-sub, time spent: 285.0ms, 16.0% of total-time

Operation ival->, time spent: 143.0ms, 8.0% of total-time

Operation const, time spent: 63.0ms, 3.0% of total-time

Operation ival-and, time spent: 24.0ms, 1.0% of total-time

Bogosity

preprocess1.2s (24.3%)

Algorithm

1×	egg-herbie

Rules

1436×	`sub-neg`
1292×	`div-sub`
860×	`distribute-lft-neg-in`
732×	`fma-def`
594×	`neg-mul-1`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 beta alpha)`
-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)`
-	-	`(+.f64 (+.f64 alpha beta) 2)`
-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)`
-	-	`alpha`
-	-	`2`
-	-	`(+.f64 alpha beta)`
-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))`
-	-	`1`
-	-	`beta`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	367
1	92	359
2	202	351
3	539	343
4	1571	343
5	4665	343
6	7242	343

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 1) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha)))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha))) 2)
(/.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(+.f64 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 beta alpha)))) 1/2)
(+.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (-.f64 1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(-.f64 1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))))
(+.f64 1/2 (*.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha))) 1/2))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 (+.f64 (neg.f64 alpha) beta) 2)) 1) 2))
(/.f64 (neg.f64 (+.f64 1 (/.f64 (-.f64 beta (neg.f64 alpha)) (+.f64 2 (-.f64 beta alpha))))) 2)
(/.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta 2) alpha)))) 2)
(/.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha)))) 2)
(-.f64 -1/2 (/.f64 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 2 alpha))) 2))
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (*.f64 2 (+.f64 (-.f64 alpha beta) -2))))
(-.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 (-.f64 alpha beta) -2))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 (+.f64 alpha (neg.f64 beta)) 2)) 1) 2))
(neg.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 2 (-.f64 alpha beta)))) 2))
(/.f64 (-.f64 -1 (/.f64 (-.f64 (neg.f64 beta) alpha) (+.f64 alpha (-.f64 2 beta)))) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 2 (-.f64 alpha beta)))) 2)
(+.f64 -1/2 (/.f64 (+.f64 beta alpha) (+.f64 4 (*.f64 2 (-.f64 alpha beta)))))
(*.f64 (-.f64 -1 (/.f64 (+.f64 beta alpha) (+.f64 beta (-.f64 -2 alpha)))) 1/2)
(/.f64 (+.f64 (/.f64 (-.f64 alpha beta) (+.f64 (+.f64 beta alpha) 2)) 1) 2)
(/.f64 (+.f64 1 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2)))) 2)
(-.f64 1/2 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha 2))) 2))
(+.f64 1/2 (/.f64 (/.f64 (-.f64 alpha beta) (+.f64 beta (+.f64 alpha 2))) 2))

Compiler

Compiled 117 to 59 computations (49.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 650.0ms

Operation ival-add, time spent: 429.0ms, 66.0% of total-time

Operation ival-div, time spent: 124.0ms, 19.0% of total-time

Operation ival-sub, time spent: 68.0ms, 10.0% of total-time

Operation const, time spent: 28.0ms, 4.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 41 to 28 computations (31.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize743.0ms (14.9%)

Compiler: Compiled 51 to 24 computations (52.9% saved)
Precisions: Click to see histograms. Total time spent on operations: 569.0ms
Operation ival-div, time spent: 318.0ms, 56.0% of total-time
Operation ival-add, time spent: 204.0ms, 36.0% of total-time
Operation ival-sub, time spent: 33.0ms, 6.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

76.9%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-mul-1`
2×	`*-commutative`

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×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)

Outputs
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1) 2)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) 2)) 1) 2)

Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (0.5%)

Compiler: Compiled 60 to 44 computations (26.7% saved)

analyze0.0ms (0%)

sample3.0s (60.1%)

preprocess1.2s (24.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize743.0ms (14.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess25.0ms (0.5%)

Profiling