expax (section 3.5)

Time bar (total: 2.4s)

analyze32.0ms (1.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
66.7%62.4%31.2%6.3%0%0%0%6
75.9%68.7%21.9%9.5%0%0%0%7
80%68.7%17.2%14.1%0%0%0%8
86%71.8%11.7%16.5%0%0%0%9
88.9%71.8%9%19.2%0%0%0%10
92.4%73.4%6%20.6%0%0%0%11
94.1%73.4%4.6%22%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 6.0ms, 40.0% of total-time
Operation ival-exp, time spent: 4.0ms, 27.0% of total-time
Operation ival-sub, time spent: 3.0ms, 20.0% of total-time
Operation ival->, time spent: 2.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

sample2.1s (85.6%)

Results
438.0ms3914×256valid
486.0ms1772×1024valid
761.0ms1460×2048valid
261.0ms1109×512valid
27.0ms313×256precondition
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-exp, time spent: 629.0ms, 58.0% of total-time
Operation ival-mult, time spent: 162.0ms, 15.0% of total-time
Operation ival-sub, time spent: 162.0ms, 15.0% of total-time
Operation ival->, time spent: 100.0ms, 9.0% of total-time
Operation const, time spent: 29.0ms, 3.0% of total-time
Bogosity

preprocess189.0ms (7.7%)

Algorithm
1×egg-herbie
Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fma-neg
12×exp-prod
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
00-0-x
00-0-(*.f64 a x)
00-0-(exp.f64 (*.f64 a x))
00-0-#s(literal 1 binary64)
00-0-a
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64))
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) #s(literal 1 binary64)))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

Compiler

Compiled 46 to 22 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
Operation ival-exp, time spent: 32.0ms, 62.0% of total-time
Operation ival-mult, time spent: 9.0ms, 17.0% of total-time
Operation ival-sub, time spent: 8.0ms, 16.0% of total-time
Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

localize63.0ms (2.6%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
Operation composed, time spent: 22.0ms, 40.0% of total-time
Operation ival-exp, time spent: 16.0ms, 29.0% of total-time
Operation ival-mult, time spent: 13.0ms, 23.0% of total-time
Operation ival-sub, time spent: 3.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 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 (*.f64 a x))
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.3%)

Accuracy

Total -29.4b remaining (-∞%)

Threshold costs -29.4b (-∞%)

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

5 calls:

3.0ms
x
2.0ms
a
2.0ms
(*.f64 a x)
1.0ms
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 25 to 17 computations (32% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11117
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(expm1.f64 (*.f64 a x))
Outputs
(expm1.f64 (*.f64 a x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

soundness23.0ms (1%)

Rules
48×fma-define
22×sub-neg
20×exp-sum
19×fma-neg
12×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
158143
288143
3126143
4169143
5203143
6248143
7298143
8315143
9331143
10335143
Stop Event
1×saturated
Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess32.0ms (1.3%)

Remove

(sort a x)

Compiler

Compiled 64 to 44 computations (31.3% saved)

Profiling

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