Metrics for Hyperbolic arc-(co)secant

analyze7.0ms (0.2%)

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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-log, time spent: 1.0ms, 32.0% of total-time

Operation ival-div, time spent: 1.0ms, 32.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 32.0% 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-mult, time spent: 0.0ms, 0.0% of total-time

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

sample2.1s (80.4%)

Results

2.1s	8256×	body	256	valid
3.0ms	18×	body	256	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-log, time spent: 457.0ms, 42.0% of total-time

Operation ival-div, time spent: 240.0ms, 22.0% of total-time

Operation ival-sqrt, time spent: 151.0ms, 14.0% of total-time

Operation ival-mult, time spent: 69.0ms, 6.0% of total-time

Operation ival-sub, time spent: 66.0ms, 6.0% of total-time

Operation ival-add, time spent: 59.0ms, 5.0% of total-time

Operation const, time spent: 38.0ms, 4.0% of total-time

Bogosity

preprocess358.0ms (13.4%)

Algorithm

1×	egg-herbie

Rules

1658×	`fma-def`
1232×	`sub-neg`
1138×	`distribute-lft-out`
866×	`associate-+r+`
724×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	47	216
2	71	216
3	130	216
4	188	216
5	273	216
6	406	216
7	691	216
8	1312	216
9	2187	216
10	4862	216
11	6573	216
12	7342	216
13	7640	216
14	7696	216
15	7728	216
16	7975	216

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 1 (neg.f64 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))
(neg.f64 (log.f64 (+.f64 (/.f64 -1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))))

Compiler

Compiled 68 to 40 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

Operation ival-sqrt, time spent: 15.0ms, 26.0% of total-time

Operation ival-div, time spent: 14.0ms, 24.0% of total-time

Operation ival-sub, time spent: 11.0ms, 19.0% of total-time

Operation ival-log, time spent: 6.0ms, 10.0% of total-time

Operation ival-mult, time spent: 5.0ms, 9.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-add, time spent: 3.0ms, 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%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize121.0ms (4.6%)

Compiler: Compiled 54 to 30 computations (44.4% saved)
Precisions: Click to see histograms. Total time spent on operations: 56.0ms
Operation ival-sqrt, time spent: 15.0ms, 27.0% of total-time
Operation ival-div, time spent: 14.0ms, 25.0% of total-time
Operation ival-sub, time spent: 12.0ms, 21.0% of total-time
Operation ival-log, time spent: 6.0ms, 11.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time
Operation ival-add, time spent: 3.0ms, 5.0% of total-time
Operation ival-mult, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

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

prune4.0ms (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%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	25	51
2	32	51
3	36	51
4	38	51

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Outputs
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess27.0ms (1%)

Compiler: Compiled 56 to 40 computations (28.6% saved)

analyze7.0ms (0.2%)

sample2.1s (80.4%)

preprocess358.0ms (13.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize121.0ms (4.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess27.0ms (1%)

Profiling