math.log10 on complex, imaginary part

Time bar (total: 4.9s)

analyze1.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.0s (20.6%)

Results
999.0ms8256×body256valid
Bogosity

preprocess51.0ms (1%)

Algorithm
egg-herbie
Rules
12×sub-neg
fma-def
+-commutative
*-commutative
associate--r+
Problems
256×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020123
126123
230123
333123
442123
549123
656123
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 10))
(/.f64 (atan2.f64 (neg.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 im re) (log.f64 10))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 10))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))
Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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)

localize36.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiled 17 to 10 computations (41.2% saved)

series30.0ms (0.6%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
23.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
6.0ms
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))

rewrite104.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
712×unpow-prod-down
528×log-prod
491×log1p-expm1-u
491×expm1-log1p-u
467×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
111023
2133923
Stop Event
node limit
Counts
1 → 62
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(+.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 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 (E.f64)))
(*.f64 1 (/.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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (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 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.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)) (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))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) 1/3) (cbrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) -1) (pow.f64 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1) (pow.f64 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1) -1)
(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)))))
(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))))
(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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify66.0ms (1.3%)

Algorithm
egg-herbie
Rules
974×log-prod
768×unswap-sqr
718×log-div
642×fma-def
544×associate-*r/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01992322
14782146
214002100
356801972
Stop Event
node limit
Counts
62 → 95
Calls
Call 1
Inputs
(+.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 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 (E.f64)))
(*.f64 1 (/.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 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (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 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.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)) (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))))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) 1/3) (cbrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) -1) (pow.f64 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1) (pow.f64 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1) -1)
(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)))))
(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))))
(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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.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 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) 3)
(+.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 (atan2.f64 im re) (log.f64 10))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 (E.f64)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.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 (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 (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 (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 (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 (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))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 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 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(/.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 (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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (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 (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 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) 1/3) (cbrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) (cbrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (*.f64 (log.f64 10) (log.f64 10)))) (cbrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) -1) (pow.f64 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1) (pow.f64 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 1 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 1) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (atan2.f64 im re))))
(*.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))))
(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) 3)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(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 (/.f64 (log.f64 10) (atan2.f64 im re)) 1) -1)
(/.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)))))
(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 (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 (atan2.f64 im re) (log.f64 10)) 3))
(/.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 (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))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval30.0ms (0.6%)

Compiler

Compiled 1399 to 934 computations (33.2% saved)

prune24.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New89695
Fresh000
Picked011
Done000
Total89796
Accuracy
100.0%
Counts
96 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.8%
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.8%
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
98.3%
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.8%
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.8%
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
98.3%
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 308 to 256 computations (16.9% saved)

localize324.0ms (6.6%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
98.8%
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
98.8%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
89.0%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
99.9%
(/.f64 1 (atan2.f64 im re))
99.6%
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
98.8%
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
98.4%
(/.f64 1 (log.f64 10))
99.6%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
98.6%
(/.f64 (log.f64 10) (atan2.f64 im re))
98.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
Compiler

Compiled 151 to 93 computations (38.4% saved)

series90.0ms (1.8%)

Counts
11 → 168
Calls

54 calls:

TimeVariablePointExpression
52.0ms
re
@-inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
17.0ms
im
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms
re
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms
re
@-inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms
im
@inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)

rewrite148.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
850×log1p-expm1-u
508×expm1-log1p-u
432×expm1-udef
428×log1p-udef
264×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032247
1460215
25297215
Stop Event
node limit
Counts
11 → 537
Calls
Call 1
Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
(/.f64 1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (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 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (atan2.f64 im re)))
(*.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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (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 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (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 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3/2) 1/3))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.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 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (/.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)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (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)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.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 (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 (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 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -2))) (/.f64 1 (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 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)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))
(*.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (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 (/.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) -1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) -1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 10) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 10) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 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 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
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simplify226.0ms (4.6%)

Algorithm
egg-herbie
Rules
906×times-frac
856×associate-*r*
782×associate-*l*
642×log-prod
608×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057320647
1127219707
2626619707
Stop Event
node limit
Counts
705 → 375
Calls
Call 1
Inputs
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (/.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)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
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(*.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) (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)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.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 (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 (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 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -2))) (/.f64 1 (cbrt.f64 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
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(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (log.f64 10)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) -1/2))) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 10) -1/2)) (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
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(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
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(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 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)))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))) 1)
(*.f64 (atan2.f64 im re) (*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 1 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 1)
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 -1 (log.f64 1/10)) 3))
(*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 10) 3)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3/2) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) 3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (/.f64 -1 (log.f64 1/10))) (atan2.f64 im re))
(/.f64 1 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))
(/.f64 1 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(/.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 10) 3)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (atan2.f64 im re)) (log.f64 10))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (sqrt.f64 (log.f64 10)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (log.f64 1/10))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (log.f64 10))
(neg.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3)))
(-.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) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (log.f64 10)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
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(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 10) -1/2)) (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (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 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 1) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (cbrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 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)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
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(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 10) -1/2))) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 10) -1/2)) (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 2))))
(/.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 (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 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) 1) (sqrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (cbrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10))))
(/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (log.f64 10))) (atan2.f64 im re)) (cbrt.f64 (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 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 -1 (pow.f64 (log.f64 1/10) 3))))
(cbrt.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (pow.f64 (log.f64 1/10) 3)))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(/.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))

eval171.0ms (3.5%)

Compiler

Compiled 7127 to 5047 computations (29.2% saved)

prune91.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4655470
Fresh101
Picked325
Done011
Total4698477
Accuracy
100.0%
Counts
477 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.7%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.7%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
Compiler

Compiled 306 to 254 computations (17% saved)

localize269.0ms (5.5%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
98.7%
(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
98.4%
(pow.f64 (log.f64 10) 2)
98.4%
(cbrt.f64 (log.f64 10))
98.8%
(pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3)
98.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
89.0%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
99.6%
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
98.8%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
98.4%
(/.f64 -1 (log.f64 1/10))
98.4%
(log.f64 1/10)
99.9%
(/.f64 -1 (atan2.f64 im re))
99.6%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
99.6%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
98.6%
(/.f64 (log.f64 1/10) (atan2.f64 im re))
98.4%
(log.f64 1/10)
Compiler

Compiled 178 to 109 computations (38.8% saved)

series28.0ms (0.6%)

Counts
13 → 192
Calls

60 calls:

TimeVariablePointExpression
3.0ms
re
@0
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
2.0ms
im
@0
(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
2.0ms
im
@0
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
2.0ms
re
@0
(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
1.0ms
re
@inf
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))

rewrite166.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
496×expm1-udef
492×log1p-udef
366×associate-*r*
248×prod-diff
228×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035307
1526273
27039273
Stop Event
node limit
Counts
13 → 715
Calls
Call 1
Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(/.f64 -1 (atan2.f64 im re))
(/.f64 -1 (log.f64 1/10))
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
(pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3)
(cbrt.f64 (log.f64 10))
(pow.f64 (log.f64 10) 2)
(/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
Outputs
(-.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 (cbrt.f64 (log.f64 10)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(*.f64 (log.f64 10) (/.f64 -1 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (log.f64 10)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (neg.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 1/10)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (*.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (neg.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 1/10)) (*.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 -1 (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 (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) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) -1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) -1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (atan2.f64 im re)) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(*.f64 (/.f64 (cbrt.f64 (log.f64 10)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2)) (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (log.f64 10)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) 1) (/.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
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(log.f64 (+.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))
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(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) 3) (log.f64 10)))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))

simplify413.0ms (8.4%)

Algorithm
egg-herbie
Rules
1200×times-frac
1066×associate-*r*
956×log-prod
820×associate-*l*
728×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071926945
1165825589
2739625589
Stop Event
node limit
Counts
907 → 457
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (pow.f64 (log.f64 10) 1/6)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) (pow.f64 (log.f64 10) 1/6)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) 1) (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))) (/.f64 1 (cbrt.f64 (log.f64 10))))
(*.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 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)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 -1 (log.f64 1/10)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) 3) (log.f64 10)))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
Outputs
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (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))

eval394.0ms (8%)

Compiler

Compiled 14570 to 10739 computations (26.3% saved)

prune559.0ms (11.4%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New9821983
Fresh000
Picked055
Done123
Total9838991
Accuracy
100.0%
Counts
991 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.7%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
99.5%
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.7%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
Compiler

Compiled 180 to 148 computations (17.8% saved)

localize47.0ms (1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
98.6%
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
Compiler

Compiled 26 to 16 computations (38.5% saved)

series20.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
8.0ms
im
@0
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
6.0ms
re
@0
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
2.0ms
re
@-inf
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
0.0ms
im
@0
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
0.0ms
im
@inf
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))

rewrite70.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
972×unpow-prod-down
696×log-prod
636×log1p-expm1-u
636×expm1-log1p-u
430×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01452
114250
2178950
Stop Event
node limit
Counts
2 → 119
Calls
Call 1
Inputs
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (*.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (*.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 1 (atan2.f64 im re)) (pow.f64 (/.f64 1 (log.f64 1/10)) -1))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 1 1/3) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) (log.f64 1/10)) 1/3) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(*.f64 (pow.f64 (/.f64 1 (log.f64 1/10)) -1) (/.f64 1 (atan2.f64 im re)))
(*.f64 (pow.f64 (/.f64 -1 (log.f64 1/10)) -1) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) -1) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) -2) -1) (pow.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) -1))
(*.f64 (pow.f64 (pow.f64 (log.f64 1/10) -1/2) -1) (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) -1) (pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) -1) (pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) -1))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1) -1)
(neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (log.f64 (exp.f64 -1)))
(*.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 (/.f64 1 (log.f64 1/10)) (pow.f64 (neg.f64 (/.f64 1 (atan2.f64 im re))) -1))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -2) (pow.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) -1))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) -1))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 2) 3) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) -1) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 5/2) 1/3) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) (/.f64 -1 (log.f64 1/10))) 1/3) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) -1) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1/2))
(*.f64 (pow.f64 (neg.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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) 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 (log.f64 1/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Rules
1662×times-frac
924×unswap-sqr
752×associate-*r/
712×associate-/r*
700×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03275249
17945111
221574967
Stop Event
node limit
Counts
167 → 172
Calls
Call 1
Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) 1/2)
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1/3))
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(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
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(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) -1))
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(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
Outputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(exp.f64 (*.f64 3 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))))
(exp.f64 (*.f64 -3 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2)) 2))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))

eval62.0ms (1.3%)

Compiler

Compiled 2647 to 1825 computations (31.1% saved)

prune81.0ms (1.7%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1711172
Fresh000
Picked011
Done167
Total1728180
Accuracy
100.0%
Counts
180 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.7%
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.5%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
99.5%
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
89.7%
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes35.0ms (0.7%)

Counts
14 → 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 -9/10) (atan2.f64 im re)))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))
Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
Calls

4 calls:

16.0ms
im
7.0ms
re
3.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
99.8%1re
99.8%1im
99.8%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%1(atan2.f64 im re)
Compiler

Compiled 159 to 111 computations (30.2% saved)

regimes43.0ms (0.9%)

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:

36.0ms
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)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01650
12250
22650
32950
43050
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness197.0ms (4%)

Rules
974×log-prod
768×unswap-sqr
718×log-div
712×unpow-prod-down
642×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
111023
2133923
01992322
14782146
214002100
356801972
Stop Event
node limit
node limit
Compiler

Compiled 73 to 46 computations (37% saved)

end0.0ms (0%)

preprocess32.0ms (0.7%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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