expm1 (example 3.7)

Time bar (total: 2.4s)

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)

sample2.1s (89.1%)

Results
1.8s7964×1valid
22.0ms292×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-exp: 804.0ms (62.5% of total)
backward-pass: 137.0ms (10.7% of total)
ival-fabs: 128.0ms (10% of total)
ival-sub: 115.0ms (8.9% of total)
ival-<=: 83.0ms (6.5% of total)
const: 19.0ms (1.5% of total)
Bogosity

preprocess44.0ms (1.8%)

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)))

explain114.0ms (4.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (exp.f64 x) #s(literal 1 binary64))
00-0-x
00-0-(exp.f64 x)
00-0-#s(literal 1 binary64)
Results
53.0ms244×1024valid
17.0ms132×512valid
8.0ms112×256valid
8.0ms24×2048valid
Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 31.0ms (74.5% of total)
ival-sub: 9.0ms (21.6% of total)
const: 2.0ms (4.8% 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)

localize48.0ms (2%)

Results
27.0ms122×1024valid
8.0ms66×512valid
4.0ms56×256valid
3.0ms12×2048valid
Compiler

Compiled 5 to 3 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
composed: 21.0ms (52.2% of total)
ival-exp: 15.0ms (37.3% of total)
ival-sub: 4.0ms (9.9% of total)
const: 1.0ms (2.5% 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)

regimes5.0ms (0.2%)

Accuracy

Total -58.0b remaining (-∞%)

Threshold costs -58b (-∞%)

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))
1.0ms
x
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)

soundness16.0ms (0.7%)

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)

preprocess27.0ms (1.2%)

Compiler

Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

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