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

sample2.4s (84.6%)

Results
1.5s4152×1024valid
350.0ms2032×512valid
159.0ms1809×256valid
76.0ms263×2048valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-exp, time spent: 621.0ms, 57.0% of total-time
Operation ival-sub, time spent: 184.0ms, 17.0% of total-time
Operation ival-fabs, time spent: 147.0ms, 14.0% of total-time
Operation ival-<=, time spent: 109.0ms, 10.0% of total-time
Operation const, time spent: 25.0ms, 2.0% of total-time
Bogosity

preprocess168.0ms (6%)

Algorithm
1×egg-herbie
Rules
15×fma-neg
14×fma-define
14×sub-neg
10×+-commutative
5×*-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.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)))
Results
57.0ms236×1024valid
20.0ms146×512valid
9.0ms118×256valid
3.0ms12×2048valid
Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
Operation ival-exp, time spent: 35.0ms, 77.0% of total-time
Operation ival-sub, time spent: 8.0ms, 18.0% of total-time
Operation const, time spent: 2.0ms, 4.0% 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)

localize57.0ms (2.1%)

Results
30.0ms117×1024valid
9.0ms72×512valid
5.0ms62×256valid
1.0ms5×2048valid
Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
Operation composed, time spent: 22.0ms, 53.0% of total-time
Operation ival-exp, time spent: 15.0ms, 36.0% of total-time
Operation ival-sub, time spent: 4.0ms, 10.0% 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)

regimes3.0ms (0.1%)

Accuracy

Total -59.5b remaining (-∞%)

Threshold costs -59.5b (-∞%)

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:

1.0ms
x
1.0ms
(-.f64 (exp.f64 x) #s(literal 1 binary64))
1.0ms
(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×saturated
Calls
Call 1
Inputs
(expm1.f64 x)
Outputs
(expm1.f64 x)

soundness17.0ms (0.6%)

Rules
15×fma-neg
14×fma-define
14×sub-neg
10×+-commutative
5×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 7 computations (30% saved)

preprocess182.0ms (6.5%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

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