Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

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

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

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

sample829.0ms (71.2%)

Results

692.0ms	7221×	256	valid
91.0ms	1031×	256	infinite
0.0ms	2×	512	valid
0.0ms	1×	256	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

Operation ival-add, time spent: 131.0ms, 60.0% of total-time

Operation ival-mult, time spent: 78.0ms, 36.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess222.0ms (19.1%)

Algorithm

1×	egg-herbie

Rules

1138×	`fma-neg`
844×	`fma-define`
168×	`cancel-sign-sub-inv`
154×	`unsub-neg`
138×	`distribute-rgt-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(+.f64 (+.f64 (*.f64 y x) y) x)

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 -1 y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 -1 x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x -1) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)

Symmetry

(sort x y)

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-add, time spent: 5.0ms, 47.0% of total-time

Operation ival-mult, time spent: 5.0ms, 47.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval1.0ms (0.1%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize84.0ms (7.2%)

Compiler: Compiled 20 to 6 computations (70% saved)
Precisions: Click to see histograms. Total time spent on operations: 5.0ms
Operation ival-add, time spent: 3.0ms, 58.0% of total-time
Operation ival-mult, time spent: 2.0ms, 39.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	13	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (+.f64 x (*.f64 x y)))

Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 72 to 40 computations (44.4% saved)

analyze0.0ms (0%)

sample829.0ms (71.2%)

preprocess222.0ms (19.1%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize84.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (2%)

Profiling