Metrics for Hyperbolic secant

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% 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 ival-add, time spent: 0.0ms, 0.0% of total-time

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

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

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

sample1.0s (52.6%)

Results

946.0ms	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

Operation ival-add, time spent: 176.0ms, 41.0% of total-time

Operation ival-exp, time spent: 116.0ms, 27.0% of total-time

Operation ival-div, time spent: 72.0ms, 17.0% of total-time

Operation ival-neg, time spent: 44.0ms, 10.0% of total-time

Operation const, time spent: 18.0ms, 4.0% of total-time

Bogosity

preprocess662.0ms (34.3%)

Algorithm

1×	egg-herbie

Rules

1900×	`fma-def`
826×	`fabs-mul`
624×	`swap-sqr`
592×	`*-commutative`
446×	`fabs-div`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(exp.f64 (neg.f64 x))`
-	-	`(neg.f64 x)`
-	-	`(exp.f64 x)`
-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
-	-	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
-	-	`2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	33	124
2	59	124
3	92	124
4	166	124
5	331	124
6	850	124
7	2446	124
8	3669	124
9	4774	124
10	6716	124

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(neg.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(neg.f64 (/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (neg.f64 x))))))
(/.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Symmetry

(abs x)

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 431.0ms

Operation ival-exp, time spent: 278.0ms, 64.0% of total-time

Operation ival-add, time spent: 119.0ms, 28.0% of total-time

Operation ival-div, time spent: 17.0ms, 4.0% of total-time

Operation ival-neg, time spent: 12.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize225.0ms (11.7%)

Compiler: Compiled 25 to 9 computations (64% saved)
Precisions: Click to see histograms. Total time spent on operations: 176.0ms
Operation ival-exp, time spent: 139.0ms, 79.0% of total-time
Operation ival-add, time spent: 22.0ms, 12.0% of total-time
Operation ival-div, time spent: 9.0ms, 5.0% of total-time
Operation ival-neg, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 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 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`sub-neg`
2×	`neg-mul-1`
2×	`*-commutative`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	17	31
2	19	31
3	20	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (1.2%)

Remove: (abs x)
Compiler: Compiled 72 to 56 computations (22.2% saved)

analyze0.0ms (0%)

sample1.0s (52.6%)

preprocess662.0ms (34.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize225.0ms (11.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (1.2%)

Profiling