expm1 (example 3.7)

Time bar (total: 2.8s)

analyze0.0ms (0%)

Algorithm
1×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 ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample2.5s (89.8%)

Results
1.5s4055×1024valid
520.0ms2135×512valid
203.0ms1777×256valid
145.0ms288×2048valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
Operation ival-exp, time spent: 848.0ms, 59.0% of total-time
Operation ival-sub, time spent: 223.0ms, 15.0% of total-time
Operation ival-<=, time spent: 177.0ms, 12.0% of total-time
Operation ival-fabs, time spent: 164.0ms, 11.0% of total-time
Operation const, time spent: 27.0ms, 2.0% of total-time
Bogosity

preprocess181.0ms (6.5%)

Algorithm
1×egg-herbie
Rules
30×fma-neg
28×fma-define
28×sub-neg
20×+-commutative
10×*-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (exp.f64 x) 1)
00-0-1
00-0-(exp.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 x) 1)cancellation2540
Confusion
Predicted +Predicted -
+2540
-02
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25400
-002
Precision?
1.0
Recall?
1.0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37044
49144
511844
613844
715744
817544
918244
1018344
Stop Event
1×saturated
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 30 to 20 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
Operation ival-exp, time spent: 36.0ms, 76.0% of total-time
Operation ival-sub, time spent: 8.0ms, 17.0% of total-time
Operation const, time spent: 3.0ms, 6.0% 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)
Compiler

Compiled 3 to 2 computations (33.3% saved)

localize47.0ms (1.7%)

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
Operation composed, time spent: 24.0ms, 52.0% of total-time
Operation ival-exp, time spent: 17.0ms, 37.0% of total-time
Operation ival-sub, time spent: 4.0ms, 9.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

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)

regimes6.0ms (0.2%)

Accuracy

Total -59.1b remaining (-∞%)

Threshold costs -59.1b (-∞%)

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 10 to 7 computations (30% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 3 to 2 computations (33.3% saved)

soundness18.0ms (0.6%)

Rules
30×fma-neg
28×fma-define
28×sub-neg
20×+-commutative
10×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
12944
24844
37044
49144
511844
613844
715744
817544
918244
1018344
Stop Event
1×saturated
Compiler

Compiled 7 to 5 computations (28.6% saved)

end0.0ms (0%)

preprocess28.0ms (1%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

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