expm1 (example 3.7)

Time bar (total: 3.9s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

sample3.4s (88.4%)

Results
1.5s2854×body3valid
1.3s2693×body2valid
328.0ms1762×body0valid
246.0ms947×body1valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
Operation ival-exp, time spent: 678.0ms, 35.0% of total-time
Operation ival-sub, time spent: 596.0ms, 31.0% of total-time
Operation ival-fabs, time spent: 399.0ms, 21.0% of total-time
Operation ival-<=, time spent: 183.0ms, 10.0% of total-time
Operation const, time spent: 65.0ms, 3.0% of total-time
Bogosity

preprocess230.0ms (5.9%)

Algorithm
egg-herbie
Rules
1460×fma-def
826×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
580×distribute-neg-in
Problems
255×(-.f64 (exp.f64 x) 1)
No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37244
411544
522944
653544
7161144
8457344
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
Outputs
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-exp, time spent: 20.0ms, 57.0% of total-time
Operation ival-sub, time spent: 12.0ms, 34.0% of total-time
Operation const, time spent: 3.0ms, 9.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(expm1.f64 x)
100.0%
(expm1.f64 x)
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize21.0ms (0.5%)

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-expm1, time spent: 3.0ms, 92.0% of total-time
Operation const, time spent: 1.0ms, 31.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

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%
(expm1.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes7.0ms (0.2%)

Accuracy

Total -58.8b remaining (-∞%)

Threshold costs -58.8b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
Outputs
(expm1.f64 x)
Calls

3 calls:

3.0ms
x
2.0ms
(-.f64 (exp.f64 x) 1)
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) 1)
100.0%1(exp.f64 x)
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
Stop Event
done
saturated
Calls
Call 1
Inputs
(expm1.f64 x)
Outputs
(expm1.f64 x)
Compiler

Compiled 3 to 2 computations (33.3% saved)

soundness117.0ms (3%)

Rules
1460×fma-def
826×associate--r+
794×cancel-sign-sub-inv
652×distribute-lft-in
580×distribute-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37244
411544
522944
653544
7161144
8457344
Stop Event
node limit
Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess70.0ms (1.8%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

Profiling

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