math.log10 on complex, imaginary part

Details

Time bar (total: 4.5s)

analyze1.0ms (0%)

Algorithm
1×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)

sample1.3s (28.1%)

Results
1.3s8256×body256valid
Bogosity

preprocess16.0ms (0.4%)

Algorithm
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
98.8%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
▶98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 16 to 12 computations (25% saved)

localize37.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
Compiler

Compiled 17 to 10 computations (41.2% saved)

series31.0ms (0.7%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
22.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
7.0ms
re
@0
(/.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))
0.0ms
im
@-inf
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite87.0ms (1.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

eval10.0ms (0.2%)

Compiler

Compiled 411 to 258 computations (37.2% saved)

prune19.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Accurracy
100.0%
Counts
37 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
▶99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶79.0%
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
98.8%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶86.2%
(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)
▶57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
▶99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶79.0%
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
98.8%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶86.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 288 to 236 computations (18.1% saved)

localize417.0ms (9.2%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
99.3%
(/.f64 (atan2.f64 im re) (log.f64 10))
✓97.1%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓98.8%
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
✓85.5%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
✓99.4%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓98.7%
(/.f64 (log.f64 10) (atan2.f64 im re))
✓99.5%
(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
✓79.2%
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
✓98.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓98.4%
(log.f64 1/10)
Compiler

Compiled 153 to 93 computations (39.2% saved)

series45.0ms (1%)

Counts
10 → 144
Calls

54 calls:

TimeVariablePointExpression
16.0ms
im
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
8.0ms
re
@-inf
(/.f64 (log.f64 10) (atan2.f64 im re))
5.0ms
re
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms
im
@inf
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms
im
@inf
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)

rewrite189.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
1284×fma-def
624×expm1-udef
618×log1p-udef
458×add-sqr-sqrt
436×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025194
1538174
26146174
Stop Event
1×node limit
Counts
10 → 1002
Calls
Call 1
Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
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 1/10))
(*.f64 -1 (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(+.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 -1 (/.f64 (atan2.f64 im re) (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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) -1) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (cbrt.f64 (pow.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)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (cbrt.f64 (pow.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)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 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))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(hypot.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (hypot.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(hypot.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1) (hypot.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (sqrt.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))))
(fma.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)) 0)
(fma.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)) 0)
(fma.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(fma.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1 0)
(fma.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1 -1)
(fma.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) -1)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(fma.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) -1)
(fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)

simplify356.0ms (7.8%)

Algorithm
1×egg-herbie
Rules
912×exp-prod
884×log-prod
780×associate-*r*
756×times-frac
710×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070736480
1154434872
2666334872
Stop Event
1×node limit
Counts
1146 → 525
Calls
Call 1
Inputs
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(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1))) (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 1)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) 0)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) (sqrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 1)
(fma.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) 0)
(fma.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) 0)
(fma.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(fma.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))) 0)
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 (cbrt.f64 (pow.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))) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) (-.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 0)
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 0 (log.f64 10))
(neg.f64 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(log.f64 1/10)
(*.f64 (log.f64 1/10) 1)
(log.f64 1/10)
(*.f64 1 (log.f64 1/10))
(log.f64 1/10)
(*.f64 -1 (log.f64 10))
(neg.f64 (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(neg.f64 (log.f64 10))
(*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) (cbrt.f64 (log.f64 1/10)))
(*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(neg.f64 (log.f64 10))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(log.f64 1/10)
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(neg.f64 (log.f64 10))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(neg.f64 (log.f64 10))
(pow.f64 (log.f64 1/10) 1)
(log.f64 1/10)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(log.f64 1/10)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(log.f64 1/10)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(log.f64 1/10)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(fabs.f64 (log.f64 1/10))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(log.f64 1/10)
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(log.f64 1/10)
(exp.f64 (log.f64 (log.f64 1/10)))
(log.f64 1/10)
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log.f64 1/10)
(log1p.f64 -9/10)
(+.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 1 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 -1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 0)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.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))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))))
(fma.f64 (/.f64 (cbrt.f64 (pow.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))) 0)
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (*.f64 (/.f64 1 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) 0)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))))
(fma.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) (/.f64 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
(fma.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) (-.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 4))

eval316.0ms (7%)

Compiler

Compiled 14146 to 9824 computations (30.6% saved)

prune100.0ms (2.2%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New8463849
Fresh101
Picked145
Done011
Total8488856
Accurracy
100.0%
Counts
856 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶98.3%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
✓57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
▶99.7%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
✓99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓86.2%
(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)
▶98.3%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
✓57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
▶99.7%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
✓99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓86.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 174 to 142 computations (18.4% saved)

localize206.0ms (4.5%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 1 (atan2.f64 im re))
✓99.4%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
✓98.7%
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))
✓98.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
98.4%
(log.f64 1/10)
✓98.4%
(pow.f64 (log.f64 1/10) 2)
✓98.4%
(cbrt.f64 (log.f64 1/10))
✓99.4%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓98.7%
(/.f64 (log.f64 1/10) (atan2.f64 im re))
98.4%
(log.f64 1/10)
Compiler

Compiled 114 to 76 computations (33.3% saved)

series14.0ms (0.3%)

Counts
8 → 96
Calls

36 calls:

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

rewrite114.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
1726×log-prod
628×expm1-udef
620×log1p-udef
446×add-sqr-sqrt
430×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023144
1472128
25911128
Stop Event
1×node limit
Counts
8 → 340
Calls
Call 1
Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(cbrt.f64 (log.f64 1/10))
(pow.f64 (log.f64 1/10) 2)
(/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
(/.f64 1 (atan2.f64 im re))
Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log.f64 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 (log.f64 1/10) (neg.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 -1 (/.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 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 (log.f64 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)) 1)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (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 10)))
(*.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (*.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (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 (log.f64 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 10)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (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 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.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 (neg.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 (neg.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 (log.f64 1/10) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (*.f64 (log.f64 1/10) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(*.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(*.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 (atan2.f64 im re) (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)) 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 1/10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))
(log.f64 (/.f64 1 (/.f64 1 (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 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 10) 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 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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simplify135.0ms (3%)

Algorithm
1×egg-herbie
Rules
1048×log-prod
774×cube-prod
650×exp-prod
516×associate-*l*
514×fabs-mul
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054110362
1114010134
245739842
Stop Event
1×node limit
Counts
436 → 332
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (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)))
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(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
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(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
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(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) 2)
(pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (cbrt.f64 (pow.f64 (log.f64 1/10) 4))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 2)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
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(/.f64 (log.f64 1/10) (/.f64 -1 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1))
(/.f64 (log.f64 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 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
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(/.f64 (/.f64 (log.f64 1/10) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
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(/.f64 (/.f64 (log.f64 10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
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(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 1/10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 1/10 (/.f64 -1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))
(log.f64 (/.f64 1 (/.f64 1 (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 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 10) 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 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.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 (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 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (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 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (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 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(/.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 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 1 (/.f64 (log.f64 1/10) (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 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (/.f64 1 (log.f64 10)) (/.f64 -1 (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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.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 -1 (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 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (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))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(+.f64 0 (/.f64 -1 (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re)))) 1)
(*.f64 -1 (/.f64 -1 (atan2.f64 im re)))
(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))
(pow.f64 (atan2.f64 im re) -1)
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) 1/3)
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(log.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re))))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (atan2.f64 im re))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (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 -1 (/.f64 (atan2.f64 im re) (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 -1 (/.f64 (atan2.f64 im re) (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 -1 (/.f64 (atan2.f64 im re) (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)))
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(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (/.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 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (/.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))
(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))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (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)))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 0 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re)))) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 -1 (/.f64 -1 (atan2.f64 im re)))
(/.f64 1 (atan2.f64 im re))
(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 1 (atan2.f64 im re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))
(pow.f64 (sqrt.f64 (atan2.f64 im re)) -2)
(pow.f64 (atan2.f64 im re) -1)
(/.f64 1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) 1/3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)
(/.f64 1 (atan2.f64 im re))
(sqrt.f64 (pow.f64 (atan2.f64 im re) -2))
(/.f64 1 (atan2.f64 im re))
(log.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (atan2.f64 im re)))))
(/.f64 -1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
(/.f64 -1 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
(/.f64 1 (atan2.f64 im re))
(exp.f64 (*.f64 (neg.f64 (log.f64 (atan2.f64 im re))) 1))
(/.f64 1 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))

eval160.0ms (3.5%)

Compiler

Compiled 7479 to 5503 computations (26.4% saved)

prune62.0ms (1.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4793482
Fresh000
Picked123
Done145
Total4819490
Accurracy
100.0%
Counts
490 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
✓99.7%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
▶99.2%
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶98.3%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
✓86.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
✓57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
✓99.7%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
▶99.2%
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶98.3%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
✓86.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 198 to 162 computations (18.2% saved)

localize142.0ms (3.1%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(/.f64 -1 (atan2.f64 im re))
✓98.4%
(/.f64 1 (log.f64 1/10))
98.4%
(log.f64 1/10)
✓98.4%
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓99.4%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓98.7%
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
✓99.9%
(/.f64 -1 (atan2.f64 im re))
✓99.4%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
✓98.7%
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))
Compiler

Compiled 93 to 60 computations (35.5% saved)

series26.0ms (0.6%)

Counts
8 → 120
Calls

42 calls:

TimeVariablePointExpression
11.0ms
re
@0
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
6.0ms
im
@0
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
0.0ms
re
@inf
(/.f64 -1 (atan2.f64 im re))
0.0ms
im
@-inf
(/.f64 -1 (atan2.f64 im re))
0.0ms
im
@inf
(/.f64 -1 (atan2.f64 im re))

rewrite104.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1536×log-prod
566×expm1-udef
558×log1p-udef
424×log-div
406×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021170
1444122
25422122
Stop Event
1×node limit
Counts
8 → 303
Calls
Call 1
Inputs
(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10))
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
(/.f64 -1 (atan2.f64 im re))
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
(/.f64 1 (log.f64 1/10))
(/.f64 -1 (atan2.f64 im re))
Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (neg.f64 (neg.f64 (atan2.f64 im re))))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1))
(/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -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 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 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 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 10) 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 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(*.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 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (*.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (neg.f64 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (log.f64 1/10) -1/2) (*.f64 (pow.f64 (log.f64 1/10) -1/2) (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (/.f64 (/.f64 -1 (log.f64 10)) (/.f64 -1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))) (/.f64 (/.f64 -1 (log.f64 10)) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) -1) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) -1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) 1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 -1 (log.f64 10)) 1) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
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simplify117.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1982×fma-def
566×log-prod
386×distribute-lft-neg-out
354×associate-*r*
350×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03479653
17759207
230288867
Stop Event
1×node limit
Counts
423 → 205
Calls
Call 1
Inputs
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))) (/.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (sqrt.f64 (/.f64 -1 (atan2.f64 im re)))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) -1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) 1) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2)) (/.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re)))))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 -1 (log.f64 10)) 1) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
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(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (log.f64 10)) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 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 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 0 (/.f64 -1 (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 10)))) 1)
(*.f64 -1 (/.f64 1 (log.f64 10)))
(*.f64 1 (/.f64 -1 (log.f64 10)))
(*.f64 (/.f64 -1 (log.f64 10)) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (pow.f64 (log.f64 1/10) -2)))
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(*.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (log.f64 1/10) -1/2))
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(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/10)) -1) (pow.f64 (sqrt.f64 (log.f64 1/10)) -1))
(pow.f64 (log.f64 1/10) -1)
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(pow.f64 (pow.f64 (/.f64 -1 (log.f64 10)) 3) 1/3)
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(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 1/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 10))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
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(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
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(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
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(*.f64 (/.f64 1 (atan2.f64 im re)) -1)
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
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(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
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(exp.f64 (*.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))) 1))
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Outputs
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))
(/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re)))
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(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(/.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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(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 -1 (log.f64 10)))
(/.f64 -1 (log.f64 10))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 10)))) 1)
(/.f64 -1 (log.f64 10))
(*.f64 -1 (/.f64 1 (log.f64 10)))
(/.f64 -1 (log.f64 10))
(*.f64 1 (/.f64 -1 (log.f64 10)))
(/.f64 -1 (log.f64 10))
(*.f64 (/.f64 -1 (log.f64 10)) 1)
(/.f64 -1 (log.f64 10))
(*.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (pow.f64 (log.f64 1/10) -2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (/.f64 -1 (cbrt.f64 (log.f64 10))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2))) (cbrt.f64 (log.f64 10)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2)) (/.f64 -1 (cbrt.f64 (log.f64 10))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) -2))) (cbrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (log.f64 1/10) -1/2) (pow.f64 (log.f64 1/10) -1/2))
(/.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) -1) (pow.f64 (cbrt.f64 (log.f64 1/10)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 1 (cbrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/10)) -1) (pow.f64 (sqrt.f64 (log.f64 1/10)) -1))
(pow.f64 (sqrt.f64 (log.f64 1/10)) -2)
(pow.f64 (log.f64 1/10) -1)
(/.f64 1 (log.f64 1/10))
(pow.f64 (/.f64 -1 (log.f64 10)) 1)
(/.f64 -1 (log.f64 10))
(pow.f64 (/.f64 -1 (cbrt.f64 (log.f64 10))) 3)
(/.f64 -1 (log.f64 10))
(pow.f64 (pow.f64 (/.f64 -1 (log.f64 10)) 3) 1/3)
(/.f64 -1 (log.f64 10))
(pow.f64 (pow.f64 (log.f64 1/10) -1/2) 2)
(/.f64 1 (log.f64 1/10))
(sqrt.f64 (pow.f64 (log.f64 1/10) -2))
(/.f64 1 (log.f64 1/10))
(log.f64 (exp.f64 (/.f64 -1 (log.f64 10))))
(/.f64 -1 (log.f64 10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log.f64 10)))))
(/.f64 -1 (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 -1 (log.f64 10)) 3))
(/.f64 -1 (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 10))))
(/.f64 -1 (log.f64 10))
(exp.f64 (neg.f64 (log.f64 (log.f64 1/10))))
(/.f64 1 (log.f64 1/10))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) -1))
(/.f64 1 (log.f64 1/10))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 1/10))) 1))
(/.f64 1 (log.f64 1/10))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 10))))
(/.f64 -1 (log.f64 10))
(+.f64 0 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))) (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re)))) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 -1 (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(*.f64 1 (/.f64 -1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 2) (/.f64 -1 (cbrt.f64 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) (sqrt.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(*.f64 (/.f64 1 (atan2.f64 im re)) -1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) 1/3)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) 2)
(/.f64 -1 (atan2.f64 im re))
(pow.f64 (neg.f64 (atan2.f64 im re)) -1)
(/.f64 -1 (atan2.f64 im re))
(neg.f64 (/.f64 1 (atan2.f64 im re)))
(/.f64 -1 (atan2.f64 im re))
(sqrt.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) 2)))
(fabs.f64 (/.f64 -1 (atan2.f64 im re)))
(log.f64 (exp.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (atan2.f64 im re)))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (/.f64 1 (exp.f64 (/.f64 1 (atan2.f64 im re)))))
(/.f64 -1 (atan2.f64 im re))
(log.f64 (/.f64 1 (/.f64 1 (exp.f64 (/.f64 -1 (atan2.f64 im re))))))
(/.f64 -1 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3))
(/.f64 -1 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(exp.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (atan2.f64 im re))) 1))
(/.f64 -1 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (/.f64 -1 (atan2.f64 im re))))
(/.f64 -1 (atan2.f64 im re))

eval72.0ms (1.6%)

Compiler

Compiled 3715 to 2682 computations (27.8% saved)

prune42.0ms (0.9%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New2611262
Fresh000
Picked033
Done156
Total2629271
Accurracy
100.0%
Counts
271 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.1%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓98.8%
(/.f64 (atan2.f64 im re) (log.f64 10))
97.5%
(/.f64 (/.f64 1 (log.f64 1/10)) (pow.f64 (/.f64 -1 (cbrt.f64 (atan2.f64 im re))) 3))
✓99.2%
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓99.7%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓98.3%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓98.3%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
✓86.2%
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
Compiler

Compiled 235 to 175 computations (25.5% saved)

regimes77.0ms (1.7%)

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

4 calls:

59.0ms
im
7.0ms
re
4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
99.7%1re
99.7%1im
99.7%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.7%1(atan2.f64 im re)
Compiler

Compiled 156 to 108 computations (30.8% saved)

regimes101.0ms (2.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

94.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms
re
2.0ms
im
2.0ms
(atan2.f64 im re)
Results
AccuracySegmentsBranch
98.8%1re
98.8%1im
98.8%1(/.f64 (atan2.f64 im re) (log.f64 10))
98.8%1(atan2.f64 im re)
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
11938
22338
32638
42738
Stop Event
1×fuel
1×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)

soundness164.0ms (3.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 73 to 46 computations (37% saved)

end38.0ms (0.8%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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