expm1 (example 3.7)

Time bar (total: 2.3s)

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

sample1.9s (82.7%)

Results
1.2s4024×1024valid
356.0ms2089×512valid
178.0ms1874×256valid
84.0ms268×2048valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 990.0ms
Operation ival-exp, time spent: 641.0ms, 65.0% of total-time
Operation ival-sub, time spent: 128.0ms, 13.0% of total-time
Operation ival-<=, time spent: 106.0ms, 11.0% of total-time
Operation ival-fabs, time spent: 89.0ms, 9.0% of total-time
Operation const, time spent: 26.0ms, 3.0% of total-time
Bogosity

preprocess298.0ms (12.8%)

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
2550-1(0.030117871891582614)(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-x
00-0-(exp.f64 x)
00-0-#s(literal 1 binary64)
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) #s(literal 1 binary64))
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
Outputs
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
(expm1.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(expm1.f64 (neg.f64 x))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
Operation ival-exp, time spent: 90.0ms, 86.0% of total-time
Operation ival-sub, time spent: 12.0ms, 11.0% of total-time
Operation const, time spent: 3.0ms, 3.0% 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)

localize48.0ms (2%)

Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
Operation composed, time spent: 27.0ms, 51.0% of total-time
Operation ival-exp, time spent: 21.0ms, 40.0% of total-time
Operation ival-sub, time spent: 4.0ms, 8.0% 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)

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)

regimes8.0ms (0.3%)

Accuracy

Total -58.9b remaining (-∞%)

Threshold costs -58.9b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(expm1.f64 x)
(-.f64 (exp.f64 x) #s(literal 1 binary64))
Outputs
(expm1.f64 x)
Calls

3 calls:

3.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
3.0ms
x
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (exp.f64 x) #s(literal 1 binary64))
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)

soundness19.0ms (0.8%)

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%)

preprocess27.0ms (1.1%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

Profiling

Loading profile data...