expax (section 3.5)

Time bar (total: 1.8s)

analyze20.0ms (1.1%)

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)

sample1.5s (85.1%)

Results
593.0ms1566×body2048valid
385.0ms1771×body1024valid
360.0ms3773×body256valid
162.0ms1146×body512valid
21.0ms309×body256precondition
Bogosity

preprocess107.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
1042×associate-*r*
992×times-frac
972×fma-neg
808×associate-*l*
652×unswap-sqr
Problems
131×(-.f64 (exp.f64 (*.f64 a x)) 1)
124×No Errors
1×(exp.f64 (*.f64 a x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
155143
297143
3202143
4481143
51364143
64774143
Stop Event
1×node limit
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 a x)) 1)
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1))
(-.f64 (exp.f64 (*.f64 x a)) 1)
Outputs
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) 1)
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1)
(expm1.f64 (*.f64 a (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) 1))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(neg.f64 (-.f64 (exp.f64 (*.f64 a (neg.f64 x))) 1))
(neg.f64 (expm1.f64 (*.f64 a (neg.f64 x))))
(-.f64 (exp.f64 (*.f64 x a)) 1)
(expm1.f64 (*.f64 a x))
Symmetry

(sort a x)

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0.1%)

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

Compiled 12 to 8 computations (33.3% saved)

localize19.0ms (1.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

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)

regimes13.0ms (0.7%)

Accuracy

Total -29.9b remaining (-∞%)

Threshold costs -29.9b (-∞%)

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

5 calls:

3.0ms
a
3.0ms
x
3.0ms
(*.f64 a x)
2.0ms
(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms
(exp.f64 (*.f64 a x))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1x
100.0%1(-.f64 (exp.f64 (*.f64 a x)) 1)
100.0%1(exp.f64 (*.f64 a x))
100.0%1(*.f64 a x)
Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-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)

soundness72.0ms (4%)

Rules
1042×associate-*r*
992×times-frac
972×fma-neg
808×associate-*l*
652×unswap-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025143
155143
297143
3202143
4481143
51364143
64774143
Stop Event
1×node limit
Compiler

Compiled 12 to 7 computations (41.7% saved)

end0.0ms (0%)

preprocess33.0ms (1.8%)

Remove

(sort a x)

Compiler

Compiled 52 to 36 computations (30.8% saved)

Profiling

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