expm1 (example 3.7)

Time bar (total: 2.2s)

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
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)

sample1.9s (87.7%)

Results
1.6s7948×1valid
23.0ms308×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 571.0ms (54% of total)
backward-pass: 138.0ms (13% of total)
ival-fabs: 116.0ms (11% of total)
ival-sub: 112.0ms (10.6% of total)
ival-<=: 101.0ms (9.5% of total)
const: 20.0ms (1.9% of total)
Bogosity

preprocess43.0ms (2%)

Algorithm
1×egg-herbie
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×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)))

explain118.0ms (5.5%)

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)
Results
60.0ms266×1024valid
15.0ms118×512valid
7.0ms102×256valid
6.0ms26×2048valid
Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-exp: 37.0ms (80% of total)
ival-sub: 7.0ms (15.1% of total)
const: 2.0ms (4.3% of total)

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)

localize53.0ms (2.4%)

Results
31.0ms133×1024valid
7.0ms59×512valid
4.0ms51×256valid
3.0ms13×2048valid
Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
composed: 27.0ms (51% of total)
ival-exp: 21.0ms (39.6% of total)
ival-sub: 4.0ms (7.6% of total)
const: 1.0ms (1.9% of total)

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 -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:

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)

soundness18.0ms (0.8%)

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)

preprocess28.0ms (1.3%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

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