math.log10 on complex, imaginary part

Time bar (total: 4.8s)

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (27.2%)

Results
1.3s8256×body256valid
Bogosity

preprocess16.0ms (0.3%)

Algorithm
egg-herbie
Rules
12×sub-neg
fma-def
+-commutative
*-commutative
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
12376
22776
33076
43976
54676
65376
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 10))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im (neg.f64 re)) (log.f64 10))
(/.f64 (atan2.f64 (neg.f64 im) re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))
Compiler

Compiled 10 to 8 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 16 to 12 computations (25% saved)

localize82.0ms (1.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 17 to 10 computations (41.2% saved)

series33.0ms (0.7%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
26.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
6.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
im
@inf
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
im
@-inf
(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms
re
@-inf
(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite56.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify50.0ms (1%)

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

Useful iterations: 2 (0.0ms)

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

eval9.0ms (0.2%)

Compiler

Compiled 411 to 258 computations (37.2% saved)

prune22.0ms (0.5%)

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
98.1%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
51.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
82.2%
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
98.7%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
98.1%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
51.6%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
82.2%
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
98.7%
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
Compiler

Compiled 288 to 236 computations (18.1% saved)

localize273.0ms (5.8%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
99.7%
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
99.4%
(/.f64 (atan2.f64 im re) (log.f64 10))
94.7%
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.4%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
99.4%
(/.f64 (atan2.f64 im re) (log.f64 10))
94.0%
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
99.8%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
99.4%
(/.f64 (log.f64 10) (atan2.f64 im re))
99.5%
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
99.4%
(/.f64 (atan2.f64 im re) (log.f64 10))
93.2%
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
99.4%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(log.f64 1/10)
Compiler

Compiled 140 to 76 computations (45.7% saved)

series53.0ms (1.1%)

Counts
10 → 144
Calls

54 calls:

TimeVariablePointExpression
20.0ms
im
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
8.0ms
re
@0
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
3.0ms
im
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms
im
@0
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
1.0ms
re
@inf
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

rewrite225.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
1594×log-prod
1150×fma-def
628×expm1-udef
622×log1p-udef
456×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025192
1537172
26061172
Stop Event
node limit
Counts
10 → 996
Calls
Call 1
Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
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 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(+.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 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (/.f64 1 (+.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)) (/.f64 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 2) (+.f64 (-.f64 1 (/.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 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) 1))
(*.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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 1))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/4) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) (-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1) 1)))
(*.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 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 2)) (/.f64 1 (+.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))) (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 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 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) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (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 (pow.f64 (cbrt.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 (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)) (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 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6))
(pow.f64 (/.f64 (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 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(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)))))
(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))
(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))))
(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 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) 1) 0)
(fma.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(fma.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1 0)
(fma.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1 1)
(fma.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.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))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 1) 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 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 1)
(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 0)
(fma.f64 (cbrt.f64 (pow.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(fma.f64 (pow.f64 (cbrt.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 (/.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 (/.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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 0)
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(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 0)

simplify417.0ms (8.8%)

Algorithm
egg-herbie
Rules
1406×fma-neg
968×log-prod
610×cube-prod
564×associate-*r*
542×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07074295002766
1146733856
2514333856
Stop Event
node limit
Counts
1140 → 504
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 0)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) (-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1) 1)) 0)
(fma.f64 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) 1)
(fma.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re) 0)
(fma.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1) 0)
(fma.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re) 0)
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)) 0)
(fma.f64 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) -1) (/.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(fma.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -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 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 (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 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(fma.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))) 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 (pow.f64 (cbrt.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 (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))) 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 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 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))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 4))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (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))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) (-.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1) 1)) 0)
(*.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -2) 1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)) (fma.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -2) 1))
(fma.f64 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) (/.f64 1 (+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (+.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))))
(fma.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)) 0)
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (+.f64 1 (-.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (-.f64 2 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(fma.f64 (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) -1) (/.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
(fma.f64 (+.f64 -1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)) 1)
(+.f64 1 (/.f64 (+.f64 -1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))
(fma.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1 -1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(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)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) -2)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.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))) 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 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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))))
(fma.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))) 0)
(/.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 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 0)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 3))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 0)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 4))
(fma.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1/6) 0)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))

eval329.0ms (6.9%)

Compiler

Compiled 13328 to 9326 computations (30% saved)

prune100.0ms (2.1%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New8244828
Fresh101
Picked145
Done011
Total8269835
Accurracy
100.0%
Counts
835 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
98.1%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
51.7%
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
82.2%
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
98.1%
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
98.1%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
51.7%
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
82.2%
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
Compiler

Compiled 200 to 164 computations (18% saved)

localize241.0ms (5.1%)

Local Accuracy

Found 14 expressions with local accuracy:

NewAccuracyProgram
99.9%
(/.f64 1 (atan2.f64 im re))
99.8%
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
99.4%
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))
99.7%
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
99.4%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
99.2%
(log.f64 1/10)
94.7%
(sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
99.4%
(/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
99.2%
(pow.f64 (log.f64 1/10) 2)
99.2%
(cbrt.f64 (log.f64 1/10))
99.2%
(log.f64 1/10)
99.8%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.4%
(/.f64 (log.f64 1/10) (atan2.f64 im re))
99.2%
(log.f64 1/10)
Compiler

Compiled 146 to 85 computations (41.8% saved)

series20.0ms (0.4%)

Counts
10 → 144
Calls

48 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
im
@0
(sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
1.0ms
im
@0
(/.f64 (log.f64 1/10) (atan2.f64 im re))
1.0ms
re
@inf
(/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))

rewrite159.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
662×expm1-udef
654×log1p-udef
490×add-sqr-sqrt
474×pow1
468×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026192
1541166
26709166
Stop Event
node limit
Counts
10 → 434
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)))
(sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (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
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(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) -1))
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simplify172.0ms (3.6%)

Algorithm
egg-herbie
Rules
1124×log-prod
858×cube-prod
666×associate-*r*
666×exp-prod
664×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059014076
1125413710
2491713710
Stop Event
node limit
Counts
578 → 369
Calls
Call 1
Inputs
(*.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)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 -9/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10))))
(-.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.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))
(*.f64 -1 (/.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))
(*.f64 -1 (/.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))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.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)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
(neg.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2)) 1/3) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 1/10) 2))) (neg.f64 (atan2.f64 im re)))
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(*.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))
(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))

eval360.0ms (7.6%)

Compiler

Compiled 12919 to 9380 computations (27.4% saved)

prune108.0ms (2.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New8193822
Fresh000
Picked224
Done235
Total8238831
Accurracy
100.0%
Counts
831 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.1%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
98.1%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.1%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
98.1%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
Compiler

Compiled 176 to 144 computations (18.2% saved)

localize119.0ms (2.5%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
99.3%
(/.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))
99.3%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
98.7%
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
98.4%
(log.f64 1/10)
99.9%
(/.f64 -1 (atan2.f64 im re))
99.3%
(/.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 91 to 53 computations (41.8% saved)

series23.0ms (0.5%)

Counts
7 → 144
Calls

42 calls:

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

rewrite104.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
1336×log-prod
576×pow-exp
514×expm1-udef
506×log1p-udef
424×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022169
1461115
24995115
Stop Event
node limit
Counts
7 → 360
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 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
Outputs
(+.f64 0 (/.f64 (log.f64 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 0 (/.f64 (log.f64 10) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1)
(/.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10)))
(/.f64 (/.f64 -1 (atan2.f64 im re)) (/.f64 -1 (log.f64 10)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(/.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 1/10) -1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)
(neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.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 10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.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 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.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 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 -1 (log.f64 1/10)) (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 (/.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)) 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 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 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)) 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 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))
(*.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.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 1/10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.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 (atan2.f64 im re)) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))
(*.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (cbrt.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (cbrt.f64 (/.f64 -1 (atan2.f64 im re))))
(*.f64 (*.f64 -1 (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))
(pow.f64 (atan2.f64 im re) -1)
(pow.f64 (/.f64 -1 (atan2.f64 im re)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (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)
(neg.f64 (/.f64 -1 (atan2.f64 im re)))
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simplify143.0ms (3%)

Algorithm
egg-herbie
Rules
1210×times-frac
994×distribute-lft-in
864×distribute-rgt-in
400×associate-*l*
390×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037211190
179510886
2290310854
Stop Event
node limit
Counts
504 → 220
Calls
Call 1
Inputs
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(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 -1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.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 10) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
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(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) 1))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
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(*.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))))
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(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)))))
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(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
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(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
Outputs
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(/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(/.f64 (log.f64 1/10) (atan2.f64 im re))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(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 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval72.0ms (1.5%)

Compiler

Compiled 3760 to 2633 computations (30% saved)

prune43.0ms (0.9%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2740274
Fresh000
Picked033
Done055
Total2748282
Accurracy
100.0%
Counts
282 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
98.7%
(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (log.f64 1/10)))
99.8%
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
98.1%
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
99.2%
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
98.1%
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
Compiler

Compiled 222 to 163 computations (26.6% saved)

regimes26.0ms (0.6%)

Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(/.f64 -1 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 10)))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)
(*.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:

8.0ms
re
7.0ms
im
4.0ms
(atan2.f64 im re)
4.0ms
(/.f64 (atan2.f64 im re) (log.f64 10))
Results
AccuracySegmentsBranch
99.8%1re
99.8%1im
99.8%1(/.f64 (atan2.f64 im re) (log.f64 10))
99.8%1(atan2.f64 im re)
Compiler

Compiled 153 to 104 computations (32% saved)

regimes9.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

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

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 17 to 13 computations (23.5% saved)

soundness156.0ms (3.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 73 to 46 computations (37% saved)

end0.0ms (0%)

preprocess34.0ms (0.7%)

Compiler

Compiled 46 to 32 computations (30.4% saved)

Profiling

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