math.square on complex, imaginary part

Time bar (total: 1.4s)

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 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample816.0ms (58.2%)

Results
656.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 135.0ms (63.7% of total)
ival-add: 68.0ms (32.1% of total)
const: 7.0ms (3.3% of total)
backward-pass: 2.0ms (0.9% of total)
Bogosity

preprocess122.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
223×fma-define
93×fma-neg
34×distribute-lft-neg-in
30×associate-*r*
28×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022205
150141
292133
3239133
4465133
5718133
6720133
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re im) (*.f64 im re))
(+.f64 (*.f64 re im) (*.f64 im re))
(+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re)))
(+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re))))
(neg.f64 (+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re)))
(+.f64 (*.f64 im re) (*.f64 re im))
Outputs
(+.f64 (*.f64 re im) (*.f64 im re))
(fma.f64 re im (*.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 im (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 re im) (*.f64 im re))
(fma.f64 re im (*.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 im (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re)))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 re (neg.f64 im)))
(*.f64 re (*.f64 im #s(literal -2 binary64)))
(+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(*.f64 #s(literal 2 binary64) (*.f64 re (neg.f64 im)))
(*.f64 re (*.f64 im #s(literal -2 binary64)))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) im) (*.f64 im (neg.f64 re))))
(fma.f64 re im (*.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 im (*.f64 re #s(literal 2 binary64)))
(neg.f64 (+.f64 (*.f64 re (neg.f64 im)) (*.f64 (neg.f64 im) re)))
(fma.f64 re im (*.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 im (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 im re) (*.f64 re im))
(fma.f64 re im (*.f64 re im))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 im (*.f64 re #s(literal 2 binary64)))
Symmetry

(negabs re)

(negabs im)

(sort re im)

explain51.0ms (3.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-im
00-0-re
00-0-(+.f64 (*.f64 re im) (*.f64 im re))
00-0-(*.f64 re im)
00-0-(*.f64 im re)
Results
33.0ms512×0valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (70.4% of total)
ival-add: 4.0ms (25.6% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 23 to 10 computations (56.5% saved)

prune1.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 re (*.f64 #s(literal 2 binary64) im))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify17.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 2 binary64) im)
✓cost-diff0
(*.f64 re (*.f64 #s(literal 2 binary64) im))
Rules
5×*-commutative
3×associate-*r*
3×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01038
11438
22138
32338
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
re
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
Outputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 (*.f64 re im) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 re im))
re
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im

localize19.0ms (1.3%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 re (*.f64 #s(literal 2 binary64) im))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) im)
Results
13.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (94% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.5%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 re (*.f64 #s(literal 2 binary64) im))>
#<alt (*.f64 #s(literal 2 binary64) im)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 im re))>
Calls

9 calls:

TimeVariablePointExpression
3.0ms
re
@inf
(* re (* 2 im))
1.0ms
im
@0
(* re (* 2 im))
1.0ms
re
@0
(* re (* 2 im))
1.0ms
im
@inf
(* re (* 2 im))
0.0ms
im
@inf
(* 2 im)

rewrite191.0ms (13.6%)

Algorithm
1×batch-egg-rewrite
Rules
410×unpow-prod-down
361×log1p-expm1-u
361×expm1-log1p-u
346×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2100629
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(*.f64 #s(literal 2 binary64) im)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) re))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64)))
(+.f64 im im)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))

simplify85.0ms (6%)

Algorithm
1×egg-herbie
Rules
844×fma-neg
496×exp-sum
366×times-frac
341×associate-*r*
331×associate--l+
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01231400
12091394
24011388
39191388
425861388
546081376
Stop Event
1×node limit
Counts
67 → 56
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)) re))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64)))
(+.f64 im im)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) im))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 im)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 1 binary64))
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(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) #s(literal 1 binary64))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 3 binary64))
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(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 im re) #s(literal 3 binary64))) #s(literal 1/3 binary64))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) re))))) (sqrt.f64 (log.f64 (*.f64 im (*.f64 #s(literal 2 binary64) re)))))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(*.f64 im (*.f64 #s(literal 2 binary64) re))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
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(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re))))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 im (*.f64 #s(literal 2 binary64) re))
(+.f64 im im)
(*.f64 #s(literal 2 binary64) im)
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(*.f64 #s(literal 2 binary64) im)
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(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
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(*.f64 #s(literal 2 binary64) im)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 #s(literal 2 binary64) im)
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 #s(literal 2 binary64) im)
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(*.f64 #s(literal 2 binary64) im)
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(*.f64 #s(literal 2 binary64) im)

eval7.0ms (0.5%)

Compiler

Compiled 548 to 176 computations (67.9% saved)

prune9.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done000
Total56157
Accuracy
100.0%
Counts
57 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 re (*.f64 #s(literal 2 binary64) im))
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes4.0ms (0.3%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
(+.f64 (*.f64 re im) (*.f64 im re))
Outputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
Calls

3 calls:

1.0ms
im
1.0ms
re
1.0ms
(+.f64 (*.f64 re im) (*.f64 im re))
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(+.f64 (*.f64 re im) (*.f64 im re))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
11219
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))
Outputs
(*.f64 re (*.f64 #s(literal 2 binary64) im))

soundness46.0ms (3.3%)

Rules
223×fma-define
93×fma-neg
34×distribute-lft-neg-in
30×associate-*r*
28×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022205
150141
292133
3239133
4465133
5718133
6720133
Stop Event
1×done
1×saturated
Compiler

Compiled 33 to 16 computations (51.5% saved)

preprocess24.0ms (1.7%)

Remove

(sort re im)

(negabs im)

(negabs re)

Compiler

Compiled 116 to 80 computations (31% saved)

end0.0ms (0%)

Profiling

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