Hyperbolic secant

Time bar (total: 1.2s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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

sample979.0ms (79.2%)

Results
762.0ms8255×256valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 345.0ms
Operation ival-exp, time spent: 157.0ms, 46.0% of total-time
Operation ival-div, time spent: 68.0ms, 20.0% of total-time
Operation ival-add, time spent: 54.0ms, 16.0% of total-time
Operation ival-neg, time spent: 51.0ms, 15.0% of total-time
Operation const, time spent: 14.0ms, 4.0% of total-time
Bogosity

preprocess167.0ms (13.5%)

Algorithm
egg-herbie
Rules
80×fma-neg
80×fma-define
48×sub-neg
28×distribute-lft-neg-in
28×cancel-sign-sub-inv
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
00-0-(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017124
135124
267124
3113124
4170124
5231124
6286124
7302124
8309124
9320124
10332124
11334124
Stop Event
saturated
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)

Results
69.0ms511×256valid
0.0ms256valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-exp, time spent: 8.0ms, 40.0% of total-time
Operation ival-div, time spent: 4.0ms, 20.0% of total-time
Operation ival-add, time spent: 3.0ms, 15.0% of total-time
Operation ival-neg, time spent: 3.0ms, 15.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize44.0ms (3.5%)

Results
31.0ms255×256valid
0.0ms256valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-exp, time spent: 4.0ms, 41.0% of total-time
Operation ival-div, time spent: 2.0ms, 20.0% of total-time
Operation ival-add, time spent: 2.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time
Operation ival-neg, time spent: 1.0ms, 10.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune9.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011
Accuracy
100.0%
Counts
1 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
11731
21931
32031
Stop Event
done
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%)

preprocess33.0ms (2.7%)

Remove

(abs x)

Compiler

Compiled 72 to 56 computations (22.2% saved)

Profiling

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