math.exp on complex, real part

Time bar (total: 1.5s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 8 to 6 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-exp, time spent: 0.0ms, 0.0% of total-time
Operation ival-cos, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (86.5%)

Results
739.0ms6193×256valid
202.0ms2063×256infinite
Precisions
Click to see histograms. Total time spent on operations: 389.0ms
Operation ival-cos, time spent: 227.0ms, 58.0% of total-time
Operation ival-exp, time spent: 80.0ms, 21.0% of total-time
Operation ival-mult, time spent: 74.0ms, 19.0% of total-time
Operation const, time spent: 8.0ms, 2.0% of total-time
Bogosity

preprocess131.0ms (8.8%)

Algorithm
1×egg-herbie
Rules
111×fma-define
30×fma-neg
23×sub-neg
16×associate-*r*
14×+-commutative
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(exp.f64 re)
00-0-im
00-0-re
00-0-(cos.f64 im)
00-0-(*.f64 (exp.f64 re) (cos.f64 im))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022163
145161
281155
3117155
4193155
5270155
6323155
7363155
8446155
9446155
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 im) (cos.f64 re))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 (neg.f64 im)))
(*.f64 (exp.f64 re) (cos.f64 im))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (cos.f64 im)))
(*.f64 (exp.f64 (neg.f64 re)) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (/.f64 #s(literal -1 binary64) (exp.f64 re)))
(/.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(neg.f64 (*.f64 (exp.f64 re) (cos.f64 (neg.f64 im))))
(*.f64 (exp.f64 re) (neg.f64 (cos.f64 im)))
(*.f64 (cos.f64 im) (neg.f64 (exp.f64 re)))
(*.f64 (exp.f64 im) (cos.f64 re))
Symmetry

(abs im)

Results
37.0ms356×256valid
21.0ms156×256infinite
Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-cos, time spent: 13.0ms, 58.0% of total-time
Operation ival-exp, time spent: 4.0ms, 18.0% of total-time
Operation ival-mult, time spent: 4.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

localize43.0ms (2.9%)

Results
24.0ms178×256valid
10.0ms78×256infinite
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-cos, time spent: 7.0ms, 63.0% of total-time
Operation ival-exp, time spent: 2.0ms, 18.0% of total-time
Operation ival-mult, time spent: 2.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.2%)

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%
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
11221
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess22.0ms (1.5%)

Remove

(abs im)

Compiler

Compiled 56 to 40 computations (28.6% saved)

Profiling

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