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

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

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

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

sample1.6s (79%)

Results

1.5s	8255×	0	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

Operation ival-exp, time spent: 268.0ms, 39.0% of total-time

Operation ival-add, time spent: 193.0ms, 28.0% of total-time

Operation ival-div, time spent: 122.0ms, 18.0% of total-time

Operation ival-neg, time spent: 76.0ms, 11.0% of total-time

Operation const, time spent: 26.0ms, 4.0% of total-time

Bogosity

preprocess319.0ms (15.3%)

Algorithm

1×	egg-herbie

Rules

2226×	`fma-neg`
1630×	`times-frac`
824×	`fma-define`
478×	`div-sub`
460×	`associate-*r/`

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
2	(189.95150828594018)	-	`(exp.f64 (neg.f64 x))`
0	-	-	`(neg.f64 x)`
0	-	-	`(exp.f64 x)`
0	-	-	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`
0	-	-	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0	-	-	`2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	124
1	35	124
2	67	124
3	119	124
4	247	124
5	653	124
6	2372	124
7	5958	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: 38.0ms

Operation ival-add, time spent: 16.0ms, 42.0% of total-time

Operation ival-exp, time spent: 10.0ms, 26.0% of total-time

Operation ival-div, time spent: 5.0ms, 13.0% of total-time

Operation ival-neg, time spent: 4.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 5.0% 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)

localize71.0ms (3.4%)

Compiler: Compiled 25 to 9 computations (64% saved)
Precisions: Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-exp, time spent: 5.0ms, 37.0% of total-time
Operation ival-div, time spent: 3.0ms, 22.0% of total-time
Operation ival-add, time spent: 3.0ms, 22.0% of total-time
Operation ival-neg, time spent: 2.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 7.0% 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)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

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%)

preprocess43.0ms (2.1%)

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

analyze0.0ms (0%)

sample1.6s (79%)

preprocess319.0ms (15.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess43.0ms (2.1%)

Profiling