math.log10 on complex, imaginary part

Details

Time bar (total: 4.3s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
50%50%50%0.1%0%0%0%2
100%99.9%0%0.1%0%0%0%3
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample875.0ms (20.4%)

Results
863.0ms8256×body256valid
Bogosity

preprocess13.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01134
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
98.7%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 16 to 12 computations (25% saved)

localize34.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 17 to 10 computations (41.2% saved)

series32.0ms (0.7%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
22.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
im
@inf
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
re
@inf
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
im
@-inf
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite55.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1712×pow1
1578×add-exp-log
1578×log1p-expm1-u
1578×expm1-log1p-u
1540×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117817
2213517
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify54.0ms (1.3%)

Algorithm
egg-herbie
Rules
1364×log-prod
962×fma-def
942×associate-*r*
856×associate-*l*
572×log-div
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086929
1198749
2637581
34195581
Stop Event
node limit
Counts
31 → 36
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))

eval8.0ms (0.2%)

Compiler

Compiled 411 to 258 computations (37.2% saved)

prune19.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New28836
Fresh000
Picked011
Done000
Total28937
Accurracy
100.0%
Counts
37 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
46.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
96.6%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
98.7%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
98.8%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
80.9%
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
98.4%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
46.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
96.6%
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
98.7%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
98.8%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
80.9%
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 392 to 308 computations (21.4% saved)

localize326.0ms (7.6%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10)))
99.4%
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)
99.3%
(/.f64 1 (log.f64 10))
96.4%
(cbrt.f64 (atan2.f64 im re))
99.8%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
99.4%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.0%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.8%
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
99.5%
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.4%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.9%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.4%
(/.f64 (log.f64 10) (atan2.f64 im re))
99.4%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.3%
(log.f64 1/10)
Compiler

Compiled 154 to 80 computations (48.1% saved)

series102.0ms (2.4%)

Counts
12 → 192
Calls

60 calls:

TimeVariablePointExpression
62.0ms
im
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms
re
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
3.0ms
re
@-inf
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
2.0ms
im
@0
(cbrt.f64 (atan2.f64 im re))
2.0ms
im
@0
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10)))

rewrite141.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
1752×log-prod
652×expm1-udef
644×log1p-udef
440×add-sqr-sqrt
426×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026208
1515192
25656192
Stop Event
node limit
Counts
12 → 537
Calls
Call 1
Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(cbrt.f64 (atan2.f64 im re))
(/.f64 1 (log.f64 10))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)
(*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10)))
Outputs
(-.f64 0 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(*.f64 (log.f64 1/10) 1)
(*.f64 -1 (log.f64 10))
(*.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 -1 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -2))) (/.f64 -1 (cbrt.f64 (log.f64 1/10))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 -1 (log.f64 1/10)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) -1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) -1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -2)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))
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simplify263.0ms (6.1%)

Algorithm
egg-herbie
Rules
1328×log-prod
894×times-frac
822×associate-*r*
754×associate-*l*
568×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064316225
1126215621
2631115589
Stop Event
node limit
Counts
729 → 402
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(+.f64 0 (cbrt.f64 (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (atan2.f64 im re)))) 1)
(*.f64 -1 (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) 1)
(*.f64 1 (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (atan2.f64 im re) 1/6))
(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (*.f64 (pow.f64 (atan2.f64 im re) 1/6) 1))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) 1/3) (pow.f64 (sqrt.f64 (atan2.f64 im re)) 1/3))
(pow.f64 (atan2.f64 im re) 1/3)
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (atan2.f64 im re) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(fabs.f64 (cbrt.f64 (atan2.f64 im re)))
(log.f64 (exp.f64 (cbrt.f64 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (atan2.f64 im re)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (atan2.f64 im re))))
(exp.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (atan2.f64 im re))))
(+.f64 0 (/.f64 -1 (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10)))) 1)
(*.f64 -1 (/.f64 -1 (log.f64 10)))
(*.f64 1 (/.f64 -1 (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 1/10)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 1/10))) (cbrt.f64 (pow.f64 (log.f64 10) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 -1 (cbrt.f64 (log.f64 1/10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 10)) -1))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -1) (pow.f64 (sqrt.f64 (log.f64 10)) -1))
(pow.f64 (log.f64 10) -1)
(pow.f64 (/.f64 -1 (log.f64 1/10)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) 1/3)
(pow.f64 (pow.f64 (log.f64 10) -1/2) 2)
(sqrt.f64 (pow.f64 (log.f64 10) -2))
(log.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (log.f64 10)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 1/10))))
(+.f64 0 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) 1)
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 1/6))
(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2)) (cbrt.f64 (cbrt.f64 (atan2.f64 im re))))
(sqrt.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (atan2.f64 im re)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (atan2.f64 im re)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(+.f64 0 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 (log.f64 10) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (pow.f64 (atan2.f64 im re) 1/6) (/.f64 (log.f64 10) (pow.f64 (atan2.f64 im re) 1/6)))
(/.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (log.f64 1/10))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) 1) (log.f64 10))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) -1) (log.f64 1/10))
(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
(cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 -1 (log.f64 1/10)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (atan2.f64 im re)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 1 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 (log.f64 10) (cbrt.f64 (cbrt.f64 (atan2.f64 im re)))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (pow.f64 (atan2.f64 im re) 1/6) (/.f64 (log.f64 10) (pow.f64 (atan2.f64 im re) 1/6)))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (neg.f64 (cbrt.f64 (atan2.f64 im re))) (log.f64 1/10))
(neg.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) 1) (log.f64 10))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) -1) (log.f64 1/10))
(neg.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 3) 1/3)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 2))
(fabs.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 -1 (log.f64 1/10)) 3)))
(cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (pow.f64 (log.f64 1/10) 3))))
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (atan2.f64 im re)))
(cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (pow.f64 (log.f64 1/10) 3))))
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))) 1))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10))

eval199.0ms (4.6%)

Compiler

Compiled 9167 to 5743 computations (37.4% saved)

prune141.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5774581
Fresh213
Picked325
Done011
Total5828590
Accurracy
100.0%
Counts
590 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
98.4%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 298 to 246 computations (17.4% saved)

localize394.0ms (9.2%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
98.8%
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
99.9%
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
98.7%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
98.8%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
88.1%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
99.9%
(/.f64 -1 (atan2.f64 im re))
99.6%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
99.6%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.7%
(/.f64 (log.f64 1/10) (atan2.f64 im re))
98.4%
(log.f64 1/10)
Compiler

Compiled 153 to 93 computations (39.2% saved)

series23.0ms (0.5%)

Counts
11 → 216
Calls

66 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
1.0ms
im
@-inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
1.0ms
re
@inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
1.0ms
im
@0
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
1.0ms
re
@-inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)

rewrite150.0ms (3.5%)

Algorithm
batch-egg-rewrite
Rules
732×expm1-udef
722×log1p-udef
530×add-sqr-sqrt
508×pow1
502×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027233
1587197
27188197
Stop Event
node limit
Counts
11 → 592
Calls
Call 1
Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(/.f64 -1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))) 1)
(*.f64 (log1p.f64 -9/10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 1)
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2) (*.f64 (cbrt.f64 (log1p.f64 -9/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log1p.f64 -9/10)) (*.f64 (sqrt.f64 (log1p.f64 -9/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log1p.f64 -9/10))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (log1p.f64 -9/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log1p.f64 -9/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 -9/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 -9/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log1p.f64 -9/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 -9/10)) 1) (/.f64 (sqrt.f64 (log1p.f64 -9/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 -9/10)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (sqrt.f64 (log1p.f64 -9/10)) (cbrt.f64 (atan2.f64 im re))))
(pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)) -1)
(neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 -9/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 -1 (log1p.f64 -9/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/2))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log1p.f64 -9/10))))
(*.f64 (cbrt.f64 (/.f64 -1 (log1p.f64 -9/10))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -1/2)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (/.f64 -1 (log1p.f64 -9/10)) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log1p.f64 -9/10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (/.f64 1 (log1p.f64 -9/10)) (*.f64 (atan2.f64 im re) -1))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log1p.f64 -9/10)))
(*.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)) -1)
(*.f64 (*.f64 (atan2.f64 im re) -1) (/.f64 1 (log1p.f64 -9/10)))
(*.f64 (pow.f64 (log.f64 10) -1/4) (*.f64 (pow.f64 (log.f64 10) -1/4) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
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(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
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(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
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(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
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simplify263.0ms (6.1%)

Algorithm
egg-herbie
Rules
1028×log-prod
884×associate-*r*
798×associate-*l*
732×exp-prod
632×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057322156
1126921888
2610721888
Stop Event
node limit
Counts
808 → 359
Calls
Call 1
Inputs
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(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
Outputs
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 2)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/2))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/2))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 -1 (log1p.f64 -9/10)) (/.f64 1 (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 1 (log1p.f64 -9/10)) (/.f64 -1 (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (*.f64 (atan2.f64 im re) -1) (log1p.f64 -9/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 1) (log1p.f64 -9/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (neg.f64 (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 -9/10))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) 1)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) 1))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (sqrt.f64 (atan2.f64 im re))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) 1) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 3)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3) 1/3)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 2)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

eval158.0ms (3.7%)

Compiler

Compiled 7065 to 5097 computations (27.9% saved)

prune109.0ms (2.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New4923495
Fresh000
Picked235
Done123
Total4958503
Accurracy
100.0%
Counts
503 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
98.7%
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
98.7%
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 174 to 142 computations (18.4% saved)

localize170.0ms (3.9%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
99.9%
(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
98.7%
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
99.6%
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
98.7%
(/.f64 (log.f64 10) (atan2.f64 im re))
99.9%
(/.f64 1 (atan2.f64 im re))
99.6%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
98.7%
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
Compiler

Compiled 95 to 60 computations (36.8% saved)

series47.0ms (1.1%)

Counts
6 → 120
Calls

36 calls:

TimeVariablePointExpression
43.0ms
re
@-inf
(/.f64 1 (atan2.f64 im re))
0.0ms
im
@inf
(/.f64 1 (atan2.f64 im re))
0.0ms
re
@inf
(/.f64 1 (atan2.f64 im re))
0.0ms
im
@-inf
(/.f64 1 (atan2.f64 im re))
0.0ms
im
@0
(/.f64 1 (atan2.f64 im re))

rewrite144.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
1882×log-prod
670×expm1-udef
660×log1p-udef
442×add-sqr-sqrt
422×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022122
1459104
25779104
Stop Event
node limit
Counts
6 → 277
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 1 (atan2.f64 im re))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re)))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 1/10) -1) (neg.f64 (atan2.f64 im re)))
(/.f64 (*.f64 -1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 1/10) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (neg.f64 (atan2.f64 im re))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)) (/.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) 1/4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) 1) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))) 1) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) 1) (/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (cbrt.f64 (log.f64 10))) (/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (neg.f64 (sqrt.f64 (log.f64 10)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 3) (pow.f64 (log.f64 10) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 0 (/.f64 1 (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)
(*.f64 1 (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))
(pow.f64 (atan2.f64 im re) -1)
(pow.f64 (/.f64 1 (atan2.f64 im re)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10)))) (*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (neg.f64 (atan2.f64 im re))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
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(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
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simplify164.0ms (3.8%)

Algorithm
egg-herbie
Rules
1584×fma-def
1400×associate-/r*
876×distribute-lft-in
814×distribute-rgt-in
344×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035210785
178410365
2272410027
Stop Event
node limit
Counts
397 → 184
Calls
Call 1
Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
(exp.f64 (fma.f64 -1/2 (log.f64 (log.f64 10)) (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 (log.f64 10)) (log.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
Outputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) 3)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 3) 1/3)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/4)) 2)
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (log.f64 10))))
(sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 6) (log.f64 10)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 3))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 3)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (atan2.f64 im re) 3)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(exp.f64 (fma.f64 -1/2 (log.f64 (log.f64 10)) (log.f64 (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(exp.f64 (*.f64 (fma.f64 -1/2 (log.f64 (log.f64 10)) (log.f64 (atan2.f64 im re))) 1))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))

eval81.0ms (1.9%)

Compiler

Compiled 4044 to 2871 computations (29% saved)

prune41.0ms (1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2770277
Fresh000
Picked033
Done055
Total2778285
Accurracy
100.0%
Counts
285 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
98.6%
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
98.7%
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
88.9%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 245 to 178 computations (27.3% saved)

regimes28.0ms (0.6%)

Counts
16 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
Calls

4 calls:

8.0ms
re
8.0ms
im
4.0ms
(atan2.f64 im re)
4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
Results
AccuracySegmentsBranch
99.8%1re
99.8%1im
99.8%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%1(atan2.f64 im re)
Compiler

Compiled 177 to 120 computations (32.2% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
Calls

4 calls:

2.0ms
im
2.0ms
re
2.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
98.7%1re
98.7%1im
98.7%1(/.f64 (atan2.f64 im re) (log.f64 10))
98.7%1(atan2.f64 im re)
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
sub-neg
neg-mul-1
+-commutative
*-commutative
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
11938
22338
32638
42738
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness209.0ms (4.9%)

Rules
1712×pow1
1578×add-exp-log
1578×log1p-expm1-u
1578×expm1-log1p-u
1540×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117817
2213517
086929
1198749
2637581
34195581
Stop Event
node limit
node limit
Compiler

Compiled 73 to 46 computations (37% saved)

end26.0ms (0.6%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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