Details

Time bar (total: 11.4s)

analyze222.0ms (1.9%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%49.9%25.1%7
25%49.9%25.1%8
25%49.9%25.1%9
37.4%25%37.6%10
37.4%25%37.6%11
37.4%25%37.6%12
Compiler

Compiled 32 to 21 computations (34.4% saved)

sample3.6s (31.7%)

Results
2.8s8256×body256valid
821.0ms2098×body256invalid

preprocess160.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
801×cube-prod_binary64
752×fma-neg_binary64
678×unswap-sqr_binary64
403×fma-def_binary64
341×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05080
113776
222748
332936
440736
599336
6243536
7350136
8410636
9421336
10441536
11493036
12681136
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 re im) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im base) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (*.f64 (log.f64 re) (log.f64 re)) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (log.f64 re) 1))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (*.f64 (atan2.f64 base re) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (*.f64 (log.f64 im) (log.f64 im)) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))
Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
877×fma-def_binary64
692×fma-neg_binary64
640×cube-prod_binary64
454×associate-/l*_binary64
447×sqr-pow_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01920
14119
26812
3949
41159
52739
610679
724959
835459
953049
1059099
1169949
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

eval1.0ms (0%)

Compiler

Compiled 37 to 21 computations (43.2% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.2b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
▶32.5b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Compiler

Compiled 40 to 26 computations (35% saved)

localize62.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
✓0.4b
(*.f64 (atan2.f64 im re) (log.f64 base))
✓0.5b
(*.f64 (log.f64 base) (log.f64 base))
✓30.0b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 122 to 33 computations (73% saved)

series197.0ms (1.7%)

Counts
4 → 108
Calls

27 calls:

TimeVariablePointExpression
133.0ms
base
@0
(*.f64 (log.f64 base) (log.f64 base))
18.0ms
base
@-inf
(*.f64 (log.f64 base) (log.f64 base))
18.0ms
im
@0
(*.f64 (atan2.f64 im re) (log.f64 base))
7.0ms
base
@inf
(*.f64 (log.f64 base) (log.f64 base))
6.0ms
re
@0
(*.f64 (atan2.f64 im re) (log.f64 base))

rewrite148.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
598×prod-diff_binary64
354×fma-def_binary64
299×fma-neg_binary64
251×expm1-udef_binary64
251×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01937
141428
2505828
Stop Event
1×node limit
Counts
4 → 216
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 2) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 re 3) (pow.f64 im 3)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 re 4) (pow.f64 im 4)) (pow.f64 (*.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 6) (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 6)) (neg.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (log.f64 base) 4)) (neg.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 base) (log.f64 base) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (log.f64 base) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 4) (pow.f64 (log.f64 base) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) 6) (/.f64 1 (pow.f64 (log.f64 base) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (pow.f64 (cbrt.f64 (log.f64 base)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 0 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 0 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im 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(atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 1) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2) 0)))))

simplify103.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
760×associate-*l/_binary64
610×associate-*r/_binary64
439×cancel-sign-sub-inv_binary64
373×*-commutative_binary64
334×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0861185
12421174
26571174
325971174
471151174
Stop Event
1×node limit
Counts
324 → 254
Calls
Call 1
Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(*.f64 -1 re)
(neg.f64 re)
(+.f64 (*.f64 -1 re) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(fma.f64 -1 re (*.f64 (/.f64 (*.f64 im im) re) -1/2))
(-.f64 (*.f64 (/.f64 (*.f64 im im) re) -1/2) re)
(-.f64 (*.f64 (/.f64 -1/2 re) (*.f64 im im)) re)
(-.f64 (*.f64 (*.f64 im im) (/.f64 -1/2 re)) re)
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (*.f64 (/.f64 (*.f64 im im) re) -1/2)))
(-.f64 (fma.f64 (/.f64 (*.f64 im im) re) -1/2 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) re)
(fma.f64 (*.f64 (/.f64 im re) im) -1/2 (-.f64 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8) re))
(-.f64 (*.f64 (*.f64 im im) (/.f64 -1/2 re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 -1 re) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (*.f64 (/.f64 (*.f64 im im) re) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (fma.f64 (/.f64 (*.f64 im im) re) -1/2 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (*.f64 (/.f64 im re) im) -1/2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (*.f64 (*.f64 im im) (/.f64 -1/2 re))) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re))
(fma.f64 (*.f64 im im) (/.f64 -1/2 re) (-.f64 (*.f64 (pow.f64 im 6) (/.f64 -1/16 (pow.f64 re 5))) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 im im) re) re) (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (*.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))
(fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))
(-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im)
(-.f64 (*.f64 (/.f64 -1/2 im) (*.f64 re re)) im)
(-.f64 (/.f64 (*.f64 re re) (/.f64 im -1/2)) im)
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im)))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im))
(fma.f64 (/.f64 re (/.f64 im re)) -1/2 (-.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 3) 1/8)) im))
(-.f64 (/.f64 (*.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(+.f64 (*.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im))))
(fma.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im)))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (-.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 3) 1/8)) im)))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (*.f64 (pow.f64 re 6) (/.f64 -1/16 (pow.f64 im 5)))) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series3.0ms (0%)

Counts
1 → 8
Calls

9 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
base
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
base
@inf
(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms
re
@-inf
(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite84.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
702×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11399
217349
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify137.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
749×div-sub_binary64
628×fma-neg_binary64
606×associate--r-_binary64
497×fma-def_binary64
424×associate--l-_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017104
131104
24496
39072
419572
559772
6242872
7492372
8619972
9645772
10659372
11670172
Stop Event
1×node limit
Counts
39 → 34
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval151.0ms (1.3%)

Compiler

Compiled 7965 to 3055 computations (61.6% saved)

prune73.0ms (0.6%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New26919288
Fresh000
Picked011
Done101
Total27020290
Error
0.0b
Counts
290 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
0.6b
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
31.0b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
0.4b
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
35.2b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
▶0.5b
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
31.5b
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
0.5b
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶37.2b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
0.4b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
46.2b
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (fma.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) 0) (*.f64 0 0)))
▶0.4b
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
1.2b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
▶5.8b
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
5.8b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
0.5b
(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
34.7b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
1.5b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
Compiler

Compiled 581 to 402 computations (30.8% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (/.f64 1 base))
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
Compiler

Compiled 36 to 21 computations (41.7% saved)

series64.0ms (0.6%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
38.0ms
im
@0
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
14.0ms
re
@0
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
8.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
1.0ms
re
@inf
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
1.0ms
im
@inf
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
845×pow1_binary64
775×add-log-exp_binary64
775×log1p-expm1-u_binary64
775×expm1-log1p-u_binary64
757×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
118016
2218416
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(log.f64 (/.f64 1 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 2)) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (neg.f64 (log.f64 base)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (neg.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 base -2))) (log.f64 (cbrt.f64 (/.f64 1 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 base -1/2)) (log.f64 (pow.f64 base -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 3)) (+.f64 0 (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 base) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 1 base) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 base))))))))

simplify195.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1203×fma-neg_binary64
976×fma-def_binary64
673×div-sub_binary64
408×times-frac_binary64
335×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015176
123176
236176
354176
480176
5147176
6266176
7398176
8496176
9632176
10767176
111025176
121437176
132712176
144748176
155682176
166554176
176594176
186624176
196674176
206860176
216878176
226972176
236972176
Stop Event
1×saturated
Counts
72 → 60
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(*.f64 -1 (log.f64 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1)))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(*.f64 -1 (log.f64 base))
(neg.f64 (log.f64 base))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 base)) (log.f64 -1))

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (log.f64 base))
✓0.3b
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
Compiler

Compiled 24 to 11 computations (54.2% saved)

series9.0ms (0.1%)

Counts
2 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
base
@-inf
(/.f64 1 (log.f64 base))
1.0ms
base
@inf
(/.f64 1 (log.f64 base))
1.0ms
base
@0
(/.f64 1 (log.f64 base))
1.0ms
im
@0
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
1.0ms
im
@inf
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
779×pow1_binary64
712×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
696×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
117515
2203115
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 1 (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))))

simplify128.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
748×div-sub_binary64
628×fma-neg_binary64
596×associate--r-_binary64
494×fma-def_binary64
413×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021388
134388
247372
392372
4196372
5598372
62425372
74939372
86202372
96464372
106600372
116708372
Stop Event
1×node limit
Counts
88 → 49
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓0.2b
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 32 to 8 computations (75% saved)

series187.0ms (1.6%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
72.0ms
re
@-inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
21.0ms
im
@-inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
18.0ms
base
@inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
16.0ms
base
@-inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
15.0ms
re
@inf
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite70.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
783×pow1_binary64
718×expm1-log1p-u_binary64
717×add-log-exp_binary64
717×log1p-expm1-u_binary64
700×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
116020
2194120
Stop Event
1×node limit
Counts
2 → 59
Calls
Call 1
Inputs
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)) 1) (+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify143.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
801×div-sub_binary64
655×fma-neg_binary64
616×associate--r-_binary64
506×fma-def_binary64
420×associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025720
144720
260720
3108720
4222720
5630720
62488720
75072720
86401720
96661720
106802720
116910720
Stop Event
1×node limit
Counts
131 → 65
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.5b
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓8.6b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
Compiler

Compiled 37 to 14 computations (62.2% saved)

series25.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
re
@inf
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
3.0ms
base
@-inf
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
3.0ms
im
@0
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms
base
@inf
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms
im
@-inf
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

rewrite63.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
973×pow1_binary64
910×add-log-exp_binary64
910×log1p-expm1-u_binary64
910×expm1-log1p-u_binary64
105×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
124021
2256221
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) 3) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (neg.f64 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1) (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) (neg.f64 (atan2.f64 im re))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))))

simplify58.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
765×div-sub_binary64
679×fma-def_binary64
638×associate-/l*_binary64
482×distribute-neg-frac_binary64
404×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029892
168892
2229892
31044784
45129784
Stop Event
1×node limit
Counts
148 → 82
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (cbrt.f64 -1) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (cbrt.f64 -1) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (cbrt.f64 -1) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (cbrt.f64 -1) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
✓0.8b
(pow.f64 (log.f64 base) 3)
✓0.8b
(pow.f64 (atan2.f64 im re) 3)
✓5.6b
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
Compiler

Compiled 42 to 21 computations (50% saved)

series14.0ms (0.1%)

Counts
4 → 52
Calls

27 calls:

TimeVariablePointExpression
1.0ms
im
@0
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
1.0ms
im
@-inf
(pow.f64 (atan2.f64 im re) 3)
1.0ms
im
@0
(pow.f64 (atan2.f64 im re) 3)
1.0ms
re
@0
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
1.0ms
base
@-inf
(pow.f64 (log.f64 base) 3)

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
396×exp-prod_binary64
294×pow-prod-down_binary64
266×pow2_binary64
197×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01137
123434
2267034
Stop Event
1×node limit
Counts
4 → 177
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(pow.f64 (atan2.f64 im re) 3)
(pow.f64 (log.f64 base) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 base) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (atan2.f64 im re) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 5/2) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 im re) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 im re))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 3/2) 2))))))
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(*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 3 (log.f64 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 (*.f64 3 (log.f64 (log.f64 base))) 1)))))))

simplify73.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
922×times-frac_binary64
861×div-sub_binary64
753×fma-def_binary64
564×associate-/l*_binary64
356×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027556
164556
2216524
3955468
45703468
Stop Event
1×node limit
Counts
229 → 184
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(*.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3)
(neg.f64 (pow.f64 (neg.f64 (log.f64 base)) 3))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) 3)))
(pow.f64 (log.f64 base) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (neg.f64 (log.f64 base)) 3)))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 base) 3)))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log.f64 base) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

eval149.0ms (1.3%)

Compiler

Compiled 6866 to 2838 computations (58.7% saved)

prune212.0ms (1.9%)

Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New49018508
Fresh11314
Picked011
Done145
Total50226528
Error
0b
Counts
528 → 26
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.3b
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
▶28.4b
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
31.0b
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶33.5b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)))
26.0b
(*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 2))
1.2b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
1.1b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3)))
5.8b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶26.7b
(*.f64 -1 (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
0.5b
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
38.0b
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 9) 1/3))
✓0.5b
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
34.7b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
✓5.8b
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
36.2b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 2/3)
5.7b
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)))
1.5b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
0.5b
(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
31.3b
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶0.4b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
0.8b
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
✓0.4b
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
6.0b
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
35.2b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 618 to 469 computations (24.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓0.4b
(*.f64 (log.f64 base) (atan2.f64 im re))
✓0.5b
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 33 to 12 computations (63.6% saved)

series37.0ms (0.3%)

Counts
3 → 56
Calls

21 calls:

TimeVariablePointExpression
29.0ms
re
@inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
1.0ms
base
@0
(pow.f64 (log.f64 base) -2)
1.0ms
base
@-inf
(pow.f64 (log.f64 base) -2)
1.0ms
base
@inf
(pow.f64 (log.f64 base) -2)
0.0ms
re
@-inf
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))

rewrite165.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
906×pow1_binary64
832×add-log-exp_binary64
831×log1p-expm1-u_binary64
831×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
120227
2234027
Stop Event
1×node limit
Counts
3 → 40
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -2) (pow.f64 (sqrt.f64 (log.f64 base)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))))

simplify60.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
584×fma-def_binary64
413×fma-neg_binary64
376×associate-/r*_binary64
353×unsub-neg_binary64
325×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029536
158536
2118504
3353504
41528504
55434504
Stop Event
1×node limit
Counts
96 → 49
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 1 (pow.f64 (log.f64 base) 2))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(neg.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
✓0.4b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
Compiler

Compiled 26 to 9 computations (65.4% saved)

series12.0ms (0.1%)

Counts
2 → 44
Calls

18 calls:

TimeVariablePointExpression
4.0ms
base
@inf
(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms
base
@-inf
(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms
re
@-inf
(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms
re
@inf
(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms
im
@inf
(/.f64 (log.f64 base) (atan2.f64 im re))

rewrite57.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
859×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
769×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
118018
2221818
Stop Event
1×node limit
Counts
2 → 67
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))

simplify138.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
747×div-sub_binary64
686×fma-def_binary64
635×associate--r-_binary64
613×fma-neg_binary64
419×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022428
139428
260396
3123396
4281396
5894396
62865396
75740396
86980396
97260396
107443396
117549396
Stop Event
1×node limit
Counts
111 → 73
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (pow.f64 (log.f64 base) -2))
✓0.3b
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
0.5b
(pow.f64 (log.f64 base) -2)
Compiler

Compiled 30 to 15 computations (50% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
re
@-inf
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
0.0ms
im
@0
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
0.0ms
base
@-inf
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
0.0ms
base
@0
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
0.0ms
base
@inf
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
858×pow1_binary64
790×add-log-exp_binary64
789×log1p-expm1-u_binary64
789×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01018
119918
2221418
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
(sqrt.f64 (pow.f64 (log.f64 base) -2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) 1/2) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))))

simplify138.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
772×div-sub_binary64
628×fma-neg_binary64
601×associate--r-_binary64
493×fma-def_binary64
409×associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022396
135396
248396
392396
4196396
5597396
62413396
74968396
86222396
96485396
106624396
116732396
Stop Event
1×node limit
Counts
85 → 42
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
✓0.9b
(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
✓3.7b
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
Compiler

Compiled 51 to 12 computations (76.5% saved)

series187.0ms (1.6%)

Counts
3 → 108
Calls

27 calls:

TimeVariablePointExpression
33.0ms
im
@inf
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
22.0ms
base
@-inf
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
16.0ms
re
@-inf
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
16.0ms
re
@inf
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
15.0ms
im
@-inf
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))

rewrite94.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
795×pow1_binary64
728×add-log-exp_binary64
727×log1p-expm1-u_binary64
727×expm1-log1p-u_binary64
711×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01035
118929
2239729
Stop Event
1×node limit
Counts
3 → 116
Calls
Call 1
Inputs
(log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (atan2.f64 im re)) (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)) (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (atan2.f64 im re)) (log.f64 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 (log.f64 base)) 3)) (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) (log.f64 (atan2.f64 im re))) (+.f64 (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base))) (*.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) (log.f64 (atan2.f64 im re))) (*.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))) (+.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) 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((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))

simplify395.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1045×div-sub_binary64
484×fma-neg_binary64
441×associate-/l*_binary64
416×sub-neg_binary64
388×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231260
1461260
2741260
31361260
42951260
56561260
618331260
745201260
859651260
964411260
1068211260
1170731260
1272031260
1372401260
Stop Event
1×node limit
Counts
224 → 83
Calls
Call 1
Inputs
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
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(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
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(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base))))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (neg.f64 (log.f64 base)))
✓0.1b
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
✓0.2b
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)
Compiler

Compiled 48 to 19 computations (60.4% saved)

series299.0ms (2.6%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
281.0ms
im
@0
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
2.0ms
base
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
2.0ms
base
@-inf
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
2.0ms
im
@inf
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
2.0ms
re
@0
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))

rewrite144.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
869×pow1_binary64
802×add-log-exp_binary64
801×log1p-expm1-u_binary64
801×expm1-log1p-u_binary64
783×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
123017
2259617
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)
(/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2))
(sqrt.f64 (neg.f64 (log.f64 base)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 base)) (log.f64 (sqrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (cbrt.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (neg.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (*.f64 (pow.f64 (log.f64 base) 1/4) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/4)) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 base) 2) (*.f64 0 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 base)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 base 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 base)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) -1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) 1/4) (pow.f64 (log.f64 base) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 base)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))))))

simplify150.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
494×fma-def_binary64
348×distribute-rgt-neg-in_binary64
295×distribute-lft-neg-in_binary64
285×distribute-neg-frac_binary64
273×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034884
171576
2175572
3524572
42337572
55634572
Stop Event
1×node limit
Counts
147 → 98
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
Outputs
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 4) (log.f64 (/.f64 1 base)))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2))
(neg.f64 (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (pow.f64 (sqrt.f64 -1) 2)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 base))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 base))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 base))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 base))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 base)))

eval180.0ms (1.6%)

Compiler

Compiled 4831 to 2145 computations (55.6% saved)

prune141.0ms (1.2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New35210362
Fresh10616
Picked011
Done459
Total36622388
Error
0b
Counts
388 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
35.2b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
1.2b
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
1.1b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3)))
5.8b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
9.6b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
34.7b
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
5.7b
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)))
1.5b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
▶37.5b
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
▶37.2b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
31.3b
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
1.3b
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
▶0.5b
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
▶0.8b
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
0.6b
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓0.4b
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓28.4b
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
✓33.5b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)))
✓0.4b
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶0.6b
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
Compiler

Compiled 502 to 378 computations (24.7% saved)

localize139.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (atan2.f64 im re))
0.2b
(/.f64 1 (log.f64 base))
✓0.3b
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
✓0.3b
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
Compiler

Compiled 41 to 22 computations (46.3% saved)

series9.0ms (0.1%)

Counts
3 → 60
Calls

21 calls:

TimeVariablePointExpression
1.0ms
im
@0
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms
re
@inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms
re
@-inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms
im
@-inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms
im
@inf
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)

rewrite148.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
965×pow1_binary64
888×add-log-exp_binary64
886×log1p-expm1-u_binary64
886×expm1-log1p-u_binary64
115×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
123820
2278920
Stop Event
1×node limit
Counts
3 → 76
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 1 (atan2.f64 im re))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1) (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2))) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x atan2.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan2.f64 im re)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 base) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (/.f64 1 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 base)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))))))

simplify139.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
802×div-sub_binary64
628×fma-neg_binary64
599×associate--r-_binary64
494×fma-def_binary64
413×associate--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019420
132420
245420
390420
4195420
5595420
62423420
74970420
86290420
96550420
106688420
116796420
Stop Event
1×node limit
Counts
136 → 78
Calls
Call 1
Inputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (atan2.f64 im re))
✓0.4b
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
✓0.4b
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
Compiler

Compiled 35 to 16 computations (54.3% saved)

series5.0ms (0%)

Counts
2 → 72
Calls

18 calls:

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

rewrite65.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
904×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
807×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
119918
2240018
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 base)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 base)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))

simplify253.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
762×div-sub_binary64
682×fma-def_binary64
645×associate--r-_binary64
613×fma-neg_binary64
420×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023648
140648
260648
3123648
4281648
5890648
62845648
75702648
86989648
97268648
107450648
117556648
Stop Event
1×node limit
Counts
125 → 58
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
✓0.7b
(cbrt.f64 (pow.f64 (log.f64 base) -3))
✓0.7b
(pow.f64 (log.f64 base) -3)
Compiler

Compiled 30 to 15 computations (50% saved)

series7.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
base
@0
(pow.f64 (log.f64 base) -3)
1.0ms
base
@-inf
(pow.f64 (log.f64 base) -3)
1.0ms
base
@inf
(pow.f64 (log.f64 base) -3)
0.0ms
re
@0
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
0.0ms
base
@-inf
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
862×pow1_binary64
798×add-log-exp_binary64
798×log1p-expm1-u_binary64
798×expm1-log1p-u_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01028
119824
2222024
Stop Event
1×node limit
Counts
3 → 49
Calls
Call 1
Inputs
(pow.f64 (log.f64 base) -3)
(cbrt.f64 (pow.f64 (log.f64 base) -3))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (cbrt.f64 (pow.f64 (log.f64 base) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -3/2) (pow.f64 (log.f64 base) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 base)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -3) (pow.f64 (sqrt.f64 (log.f64 base)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)) 1) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)))) (cbrt.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)) (cbrt.f64 (pow.f64 (log.f64 base) -3/2))) (cbrt.f64 (pow.f64 (log.f64 base) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6))) (cbrt.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3/2)) (cbrt.f64 (pow.f64 (log.f64 base) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)) 1/3) (cbrt.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3) (pow.f64 (pow.f64 (log.f64 base) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (log.f64 base) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (pow.f64 (log.f64 base) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) -3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 base) -1) (atan2.f64 im re))))))))

simplify90.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
760×unsub-neg_binary64
673×fma-neg_binary64
563×fma-def_binary64
487×distribute-rgt-in_binary64
397×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029504
160504
2124504
3361504
41267504
55090504
Stop Event
1×node limit
Counts
109 → 58
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
Outputs
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 1 (pow.f64 (log.f64 base) 3))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
0.5b
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
8.6b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
Compiler

Compiled 37 to 14 computations (62.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
✓0.2b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
0.3b
(/.f64 (log.f64 base) (atan2.f64 im re))
✓1.2b
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
Compiler

Compiled 46 to 15 computations (67.4% saved)

series12.0ms (0.1%)

Counts
3 → 80
Calls

27 calls:

TimeVariablePointExpression
1.0ms
base
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
1.0ms
im
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
1.0ms
base
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
1.0ms
re
@-inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
1.0ms
re
@inf
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)

rewrite173.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
475×log-prod_binary64
368×exp-prod_binary64
336×prod-exp_binary64
264×pow-prod-down_binary64
261×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01232
124929
2267229
Stop Event
1×node limit
Counts
3 → 193
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2)
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) (cbrt.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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(atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3/2) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/6) -6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1/4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -2) (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 base)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1)))))))

simplify151.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
511×div-sub_binary64
475×fma-neg_binary64
430×associate-/r*_binary64
411×cancel-sign-sub-inv_binary64
398×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030804
150796
288796
3204764
4741764
54243764
Stop Event
1×node limit
Counts
273 → 202
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval161.0ms (1.4%)

Compiler

Compiled 8045 to 3506 computations (56.4% saved)

prune124.0ms (1.1%)

Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New58010590
Fresh7411
Picked101
Done2810
Total59022612
Error
0b
Counts
612 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
1.1b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3)))
1.3b
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
0.6b
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
✓0.5b
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
5.7b
(*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)))
✓0.3b
(/.f64 (atan2.f64 im re) (log.f64 base))
✓0.6b
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
37.5b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
9.6b
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
5.7b
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)))
1.5b
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓37.2b
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
0.5b
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
0.7b
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
31.3b
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓28.4b
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
✓33.5b
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)))
✓0.4b
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
5.8b
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓0.8b
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
35.2b
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.5b
(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
Compiler

Compiled 279 to 213 computations (23.7% saved)

regimes591.0ms (5.2%)

Counts
59 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) -1)
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) -3)))
(*.f64 (atan2.f64 im re) (sqrt.f64 (pow.f64 (log.f64 base) -2)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
(*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)))
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))
(/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 3))
(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
(*.f64 -1 (exp.f64 (log.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) -3)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 base))) 2)))
(*.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))) 2))
(*.f64 -1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 base))) 3)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 9) 1/3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 base)))
(expm1.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 4)) (pow.f64 (log.f64 base) 2))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (fma.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)) 0) (*.f64 0 0)))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
Calls

6 calls:

256.0ms
im
86.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
69.0ms
base
59.0ms
(log.f64 base)
59.0ms
re
Results
ErrorSegmentsBranch
0.3b1re
0.3b1im
0.3b1base
0.3b1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))
0.3b1(log.f64 base)
0.3b1(log.f64 base)
Compiler

Compiled 708 to 309 computations (56.4% saved)

regimes25.0ms (0.2%)

Accuracy

Total -0.6b remaining (-210.3%)

Threshold costs -0.6b (-210.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (atan2.f64 im re)))
(/.f64 1 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
Calls

4 calls:

8.0ms
im
5.0ms
(log.f64 base)
5.0ms
re
5.0ms
base
Results
ErrorSegmentsBranch
0.3b1re
0.3b1im
0.3b1base
0.3b1(log.f64 base)
Compiler

Compiled 72 to 39 computations (45.8% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
2×neg-sub0_binary64
1×distribute-neg-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
11723
22023
32323
42623
52723
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
Compiler

Compiled 21 to 15 computations (28.6% saved)

soundness0.0ms (0%)

end50.0ms (0.4%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

Profiling

Loading profile data...