math.square on complex, imaginary part

Time bar (total: 1.6s)

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)

sample918.0ms (56.8%)

Results
756.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 388.0ms
ival-mult: 335.0ms (86.4% of total)
ival-add: 45.0ms (11.6% of total)
const: 6.0ms (1.5% of total)
backward-pass: 2.0ms (0.5% of total)
Bogosity

preprocess55.0ms (3.4%)

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)

explain181.0ms (11.2%)

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
29.0ms512×0valid
Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (75.9% of total)
ival-add: 2.0ms (16.9% of total)
const: 0.0ms (0% 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 im (*.f64 re #s(literal 2 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 re #s(literal 2 binary64))
✓cost-diff0
(*.f64 im (*.f64 re #s(literal 2 binary64)))
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 im (*.f64 re #s(literal 2 binary64)))
im
(*.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
Outputs
(*.f64 im (*.f64 re #s(literal 2 binary64)))
im
(*.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)

localize20.0ms (1.2%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 re #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 im (*.f64 re #s(literal 2 binary64)))
Results
14.0ms256×0valid
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 (94.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.4%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 im (*.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 re #s(literal 2 binary64))>
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))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 #s(literal 2 binary64) re)>
Calls

9 calls:

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

rewrite238.0ms (14.7%)

Algorithm
1×batch-egg-rewrite
Rules
399×unpow-prod-down
363×log1p-expm1-u
363×expm1-log1p-u
347×add-exp-log
334×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
18829
2101229
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 im (*.f64 re #s(literal 2 binary64)))
(*.f64 re #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 im re) (*.f64 im re))
(+.f64 #s(literal 0 binary64) (*.f64 im (*.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) re) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 re re)
(+.f64 #s(literal 0 binary64) (*.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 re #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)))

simplify89.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
609×prod-exp
470×fma-neg
450×associate-*r*
399×associate-*l*
360×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01251507
12181501
25431495
330681495
458051495
Stop Event
1×node limit
Counts
80 → 69
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 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(*.f64 #s(literal 2 binary64) re)
(+.f64 (*.f64 im re) (*.f64 im re))
(+.f64 #s(literal 0 binary64) (*.f64 im (*.f64 re #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) re) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)) im))
(cbrt.f64 (pow.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im (*.f64 re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 re re)
(+.f64 #s(literal 0 binary64) (*.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 re #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (*.f64 re #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 re) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 re #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 im re))
(*.f64 (*.f64 #s(literal 2 binary64) im) re)
(*.f64 im (*.f64 #s(literal 2 binary64) re))
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eval9.0ms (0.6%)

Compiler

Compiled 733 to 222 computations (69.7% saved)

prune9.0ms (0.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh000
Picked011
Done000
Total69170
Accuracy
100.0%
Counts
70 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 im (*.f64 re #s(literal 2 binary64)))
Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes5.0ms (0.3%)

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

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

3 calls:

1.0ms
re
1.0ms
im
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 im (*.f64 re #s(literal 2 binary64)))
Outputs
(*.f64 im (*.f64 re #s(literal 2 binary64)))

soundness44.0ms (2.7%)

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 38 to 16 computations (57.9% saved)

preprocess34.0ms (2.1%)

Remove

(negabs im)

(negabs re)

Compiler

Compiled 144 to 100 computations (30.6% saved)

end0.0ms (0%)

Profiling

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