math.log10 on complex, imaginary part

Details

Time bar (total: 7.8s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%199.8%-99.8%0%0%0%1
0%0%399.6%-299.6%0%0%0%2
100%399.6%0%-299.6%0%0%0%3
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.4s (18.1%)

Results
1.4s8256×body256valid
Bogosity

preprocess17.0ms (0.2%)

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)

simplify14.0ms (0.2%)

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))

eval1.0ms (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)

localize44.0ms (0.6%)

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)

series33.0ms (0.4%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
26.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
5.0ms
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))

rewrite81.0ms (1%)

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))))

simplify167.0ms (2.1%)

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))

eval33.0ms (0.4%)

Compiler

Compiled 411 to 258 computations (37.2% saved)

prune66.0ms (0.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Accurracy
100.0%
Counts
37 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.4%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
55.9%
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
98.8%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
98.7%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.4%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
55.9%
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
98.8%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 304 to 236 computations (22.4% saved)

localize662.0ms (8.4%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
99.3%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
99.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
99.3%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.0%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.3%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.2%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
96.3%
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.9%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.3%
(/.f64 (log.f64 10) (atan2.f64 im re))
99.3%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(log.f64 1/10)
Compiler

Compiled 144 to 83 computations (42.4% saved)

series109.0ms (1.4%)

Counts
10 → 168
Calls

54 calls:

TimeVariablePointExpression
73.0ms
im
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
6.0ms
re
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms
re
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms
im
@0
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms
re
@-inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

rewrite174.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1834×log-prod
656×expm1-udef
650×log1p-udef
454×add-sqr-sqrt
432×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027190
1568170
26106170
Stop Event
node limit
Counts
10 → 720
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)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (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 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 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 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 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(*.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 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (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 1/10))))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -1/2)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.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 (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 (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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))
(*.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 1/10))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 1 (log.f64 1/10)) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.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 (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) 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 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 (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) (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 (atan2.f64 im re) 1) (/.f64 -1 (log.f64 1/10)))
(*.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 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 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.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 -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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10)))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (pow.f64 (log.f64 10) -1/2)))
(*.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (pow.f64 (log.f64 10) -1/2))) (sqrt.f64 (pow.f64 (log.f64 10) -1/2)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 3/2)
(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))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.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 (pow.f64 (log.f64 10) -1/2) 3) (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 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 1/10) 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) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)))
(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))
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(+.f64 0 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) 1)
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(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) (cbrt.f64 (/.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)) (pow.f64 (log.f64 10) -1/2)))
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(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
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simplify394.0ms (5%)

Algorithm
egg-herbie
Rules
1116×log-prod
788×associate-*r*
722×associate-*l*
640×exp-prod
562×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06544294991088
1134623176
2570323176
Stop Event
node limit
Counts
888 → 414
Calls
Call 1
Inputs
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(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 (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
(*.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)))
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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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (log.f64 10))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) -1) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 10)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(/.f64 (*.f64 -1 (/.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) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.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 1 (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 (atan2.f64 im re) (log.f64 1/10))
(/.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 (atan2.f64 im re) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 10))) (*.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (log.f64 10)))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 0 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (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 (/.f64 0 (neg.f64 (sqrt.f64 (log.f64 10)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (atan2.f64 im re) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10))) (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 1/10))) (cbrt.f64 (/.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)) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -1/2)) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -1/2))))
(*.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (pow.f64 (log.f64 10) -1/2))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (fabs.f64 (pow.f64 (log.f64 10) -1/4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (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 1 (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (atan2.f64 im re))) (*.f64 (sqrt.f64 (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (pow.f64 (log.f64 10) -1/2)))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -1/2))))
(*.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (pow.f64 (log.f64 10) -1/2))))
(*.f64 (*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 10) -1/2))) (sqrt.f64 (pow.f64 (log.f64 10) -1/2)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(*.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))
(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) (sqrt.f64 (log.f64 10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 1/10)))
(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)))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))
(/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))
(/.f64 (neg.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 (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)))))
(/.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)))

eval388.0ms (5%)

Compiler

Compiled 8347 to 5930 computations (29% saved)

prune103.0ms (1.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New5544558
Fresh101
Picked235
Done011
Total5578565
Accurracy
100.0%
Counts
565 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.6%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
98.7%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.7%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
98.7%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.6%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
98.7%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.7%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 176 to 144 computations (18.2% saved)

localize1.7s (22.2%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
99.3%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
99.2%
(log.f64 1/10)
96.3%
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
100.0%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
99.3%
(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))
99.9%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.3%
(/.f64 (log.f64 1/10) (atan2.f64 im re))
99.2%
(log.f64 1/10)
99.9%
(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
99.3%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 134 to 82 computations (38.8% saved)

series72.0ms (0.9%)

Counts
7 → 144
Calls

42 calls:

TimeVariablePointExpression
47.0ms
re
@-inf
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
3.0ms
im
@0
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
2.0ms
re
@0
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
2.0ms
im
@inf
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
2.0ms
re
@inf
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))

rewrite116.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
718×expm1-udef
706×log1p-udef
480×add-sqr-sqrt
454×pow1
452×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025183
1539139
26601139
Stop Event
node limit
Counts
7 → 317
Calls
Call 1
Inputs
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)))) 1)
(/.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (neg.f64 (sqrt.f64 (log1p.f64 9))))
(/.f64 -1 (neg.f64 (/.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)))))
(/.f64 1 (/.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))))
(/.f64 1 (/.f64 (/.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))) 1))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) -1)) (/.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log1p.f64 9) -1/2))))
(/.f64 (pow.f64 (log1p.f64 9) -1/4) (/.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)) (pow.f64 (log1p.f64 9) -1/4)))
(/.f64 (neg.f64 (pow.f64 (log1p.f64 9) -1/2)) (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(/.f64 (pow.f64 (log1p.f64 9) -1) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log1p.f64 9) -1/2))) (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(/.f64 (/.f64 (pow.f64 (log1p.f64 9) -1/2) (sqrt.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re))))
(/.f64 (/.f64 (pow.f64 (log1p.f64 9) -1/2) 1) (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) 1) (sqrt.f64 (log1p.f64 9)))
(/.f64 (/.f64 (pow.f64 (log1p.f64 9) -1/2) (cbrt.f64 (/.f64 (log1p.f64 9) (pow.f64 (atan2.f64 im re) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (cbrt.f64 (log1p.f64 9))) (cbrt.f64 (sqrt.f64 (log1p.f64 9))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log1p.f64 9) 1/4)) (pow.f64 (log1p.f64 9) 1/4))
(pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (log1p.f64 9) -1/2) (sqrt.f64 (atan2.f64 im re))) 2)
(pow.f64 (/.f64 1 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))) -1)
(neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log1p.f64 9) -1)) (atan2.f64 im re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3) (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) 3) (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 9) -1/2) 3) (pow.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -1))))
(-.f64 0 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))) 1)
(*.f64 (log1p.f64 9) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 1/10) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(*.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (*.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) (neg.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (*.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))
(*.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(*.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1)
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(*.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 (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 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 1/10) (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 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (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)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1)
(neg.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (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) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (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 (log1p.f64 9) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(-.f64 0 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log1p.f64 9)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -1)
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))
(*.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log1p.f64 9))))
(*.f64 (/.f64 -1 (log1p.f64 9)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log1p.f64 9)) (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6) 3))
(*.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 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.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 (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)) (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 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 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1/6))
(*.f64 (*.f64 (/.f64 1 (log1p.f64 9)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log1p.f64 9)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(-.f64 0 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))) 1)
(*.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (log1p.f64 9)) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)) 1)
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(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))

simplify297.0ms (3.8%)

Algorithm
egg-herbie
Rules
748×log-prod
580×associate-*r*
504×cube-prod
504×exp-prod
496×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051412243
1116410983
2442110981
Stop Event
node limit
Counts
461 → 311
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
Outputs
(/.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))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.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))
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(/.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)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 -1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (/.f64 -1 (log1p.f64 9)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (/.f64 1 (log1p.f64 9)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 1/10)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (/.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))
(/.f64 (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (/.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (*.f64 (neg.f64 (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (neg.f64 (log1p.f64 9)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))

eval371.0ms (4.7%)

Compiler

Compiled 9062 to 6643 computations (26.7% saved)

prune272.0ms (3.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5851586
Fresh000
Picked044
Done134
Total5868594
Accurracy
100.0%
Counts
594 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.6%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
98.7%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.7%
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
99.7%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.6%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
98.7%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.7%
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
99.7%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 176 to 144 computations (18.2% saved)

localize101.0ms (1.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
98.7%
(/.f64 (log1p.f64 9) (atan2.f64 im re))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series39.0ms (0.5%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
15.0ms
re
@0
(/.f64 (log1p.f64 9) (atan2.f64 im re))
15.0ms
im
@0
(/.f64 (log1p.f64 9) (atan2.f64 im re))
2.0ms
im
@inf
(/.f64 (log1p.f64 9) (atan2.f64 im re))
1.0ms
re
@inf
(/.f64 (log1p.f64 9) (atan2.f64 im re))
1.0ms
re
@inf
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

rewrite215.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
986×cbrt-prod
972×log-prod
782×exp-prod
574×prod-exp
528×pow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01140
122434
2263534
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(/.f64 (log1p.f64 9) (atan2.f64 im re))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
Outputs
(+.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) 2)) (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 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 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 10) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 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 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.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 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))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (log.f64 10))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 10) (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 (E.f64) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (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 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.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 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.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)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.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 (/.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)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (/.f64 1 (log.f64 10)))) (cbrt.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 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify175.0ms (2.2%)

Algorithm
egg-herbie
Rules
1058×associate-*r/
876×associate-*l/
862×fma-def
748×associate-/l*
730×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02703870
16053756
216783728
377413728
Stop Event
node limit
Counts
156 → 135
Calls
Call 1
Inputs
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.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 0 (/.f64 (log.f64 10) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) 2)) (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 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 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 10) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 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 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.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 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))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (log.f64 10))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 10) (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 (E.f64) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (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 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.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 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.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)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (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))))
(*.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 (/.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)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (/.f64 1 (log.f64 10)))) (cbrt.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 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -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))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
Outputs
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
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(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (/.f64 1 (log.f64 10)))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (log.f64 10))))
(*.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (log.f64 10))))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.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 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/6))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(/.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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.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))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(/.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))

eval143.0ms (1.8%)

Compiler

Compiled 1919 to 1312 computations (31.6% saved)

prune47.0ms (0.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1350135
Fresh000
Picked011
Done077
Total1358143
Accurracy
100.0%
Counts
143 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.6%
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
98.7%
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.7%
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
99.7%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.8%
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 206 to 150 computations (27.2% saved)

regimes46.0ms (0.6%)

Counts
12 → 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 (log1p.f64 9) (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
(*.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 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.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)))
Outputs
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
Calls

4 calls:

21.0ms
(atan2.f64 im re)
11.0ms
re
7.0ms
im
4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
Results
AccuracySegmentsBranch
99.7%1re
99.7%1im
99.7%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%1(atan2.f64 im re)
Compiler

Compiled 137 to 91 computations (33.6% saved)

regimes12.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
Calls

4 calls:

3.0ms
re
3.0ms
im
2.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
99.7%1re
99.7%1im
99.7%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%1(atan2.f64 im re)
Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes16.0ms (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:

8.0ms
im
3.0ms
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)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01661
12161
22561
32861
42961
Stop Event
done
saturated
Calls
Call 1
Inputs
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness439.0ms (5.6%)

Rules
1834×log-prod
1712×pow1
1712×pow1
1578×add-exp-log
1578×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117817
2213517
027190
1568170
26106170
0917
117817
2213517
086929
1198749
2637581
34195581
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 164 to 106 computations (35.4% saved)

end33.0ms (0.4%)

Compiler

Compiled 62 to 42 computations (32.3% saved)

Profiling

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