Details

Time bar (total: 4.1s)

analyze119.0ms (2.9%)

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
18.7%81.2%0.1%5
34.3%65.6%0.1%6
54.6%45.3%0.1%7
64.8%35.1%0.1%8
76.1%23.8%0.1%9
81.8%18.1%0.1%10
87.7%12.2%0.1%11
90.7%9.2%0.1%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.3s (30.8%)

Results
1.3s8248×body64valid
2.0ms8×body128valid

preprocess16.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
2×hypot-def_binary64
2×fma-def_binary64
1×swap-re-im
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01522
11922
022
122
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
0
Call 2
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 10))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
Symmetry

(sort re im)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
2×hypot-def_binary64
2×fma-def_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111
11411
21611
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
Outputs
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
Compiler

Compiled 39 to 29 computations (25.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 re im)
✓0.6b
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))

series14.0ms (0.3%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
2.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
2.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
2.0ms
im
@0
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
1.0ms
re
@0
(hypot.f64 re im)

rewrite50.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
759×pow1_binary64
703×add-log-exp_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
688×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116015
2191315
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(hypot.f64 re im)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (hypot.f64 re im) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(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 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(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) 2) 1/2)))) (#(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 (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 (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 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 exp.f64 (log.f64 (hypot.f64 re im)))))) (#(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)))))))

simplify67.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
978×times-frac_binary64
766×fma-neg_binary64
602×fma-def_binary64
561×associate-/r*_binary64
481×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491413
14321386
213081338
371001338
Stop Event
1×node limit
Counts
100 → 121
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
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))))
Outputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 10)))
(fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 10) re))) (/.f64 (log.f64 im) (log.f64 10)))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
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(fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 10) re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (/.f64 (log.f64 im) (log.f64 10))))
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 10))
(/.f64 (log.f64 re) (log.f64 10))
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(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 10)))
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(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 10)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re)))))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
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(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 10)) (/.f64 -1/4 (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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(/.f64 (log.f64 re) (log.f64 10))
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(-.f64 (fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 10) re))) (/.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 4) -1/4)) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))) (*.f64 1/720 (/.f64 (/.f64 (*.f64 (pow.f64 re 6) 120) (log.f64 10)) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (*.f64 1/720 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (/.f64 120 (pow.f64 im 6)))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 10) re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 10) re))) (-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))
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 (/.f64 re im) re) 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 1/2 (*.f64 (/.f64 re im) re) (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 1/2 (*.f64 (/.f64 re 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)))
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 im (/.f64 re im)) 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 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (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 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (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 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 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 -1/2 im) im) re) re)
(-.f64 (*.f64 (/.f64 -1/2 re) (*.f64 im im)) 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 im (/.f64 re im)) -1/2 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) re)
(-.f64 (fma.f64 (*.f64 (/.f64 im re) im) -1/2 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) 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 (pow.f64 im 6) (pow.f64 re 5)) -1/16 (/.f64 (*.f64 (*.f64 -1/2 im) im) re))) 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 -1/16 (/.f64 (pow.f64 re 5) (pow.f64 im 6))))) 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)
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 im (/.f64 re im)) 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 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (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 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 im (/.f64 re im)) (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 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 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 (/.f64 re im) re) 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 1/2 (*.f64 (/.f64 re im) re) (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 1/2 (*.f64 (/.f64 re 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)))
(*.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))
(fma.f64 (/.f64 (*.f64 re re) im) -1/2 (neg.f64 im))
(-.f64 (*.f64 (*.f64 (/.f64 re im) re) -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 (fma.f64 (/.f64 (*.f64 re re) im) -1/2 (neg.f64 im)))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (*.f64 (*.f64 (/.f64 re im) re) -1/2)) 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 (fma.f64 (/.f64 (*.f64 re re) im) -1/2 (neg.f64 im))))
(-.f64 (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 im) re) -1/2))) im)

prune138.0ms (3.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1129121
Fresh000
Picked101
Done000
Total1139122
Error
0.0b
Counts
122 → 9
Alt Table
StatusErrorProgram
0.6b
(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
14.3b
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))
14.4b
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
0.7b
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
▶0.5b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
1.3b
(/.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) (log.f64 10))
0.6b
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
14.3b
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)
11.4b
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
Compiler

Compiled 2538 to 1842 computations (27.4% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
✓0.3b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
✓0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
re
@0
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms
re
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms
re
@-inf
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms
im
@inf
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
1.0ms
im
@0
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

rewrite61.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
541×log-prod_binary64
416×exp-prod_binary64
317×pow-prod-down_binary64
279×pow2_binary64
200×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
124124
2293124
Stop Event
1×node limit
Counts
2 → 117
Calls
Call 1
Inputs
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/2) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 10))) (*.f64 (pow.f64 (log.f64 10) -1/6) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/4) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x 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exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

simplify161.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
629×cancel-sign-sub-inv_binary64
548×times-frac_binary64
379×associate-/r*_binary64
377×associate-/l*_binary64
356×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01652183
14862156
215331878
358311748
Stop Event
1×node limit
Counts
165 → 195
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/720 (*.f64 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)) (sqrt.f64 (/.f64 1 (log.f64 10))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 6) (pow.f64 re 6)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 im)))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (sqrt.f64 (/.f64 1 (log.f64 10)))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (sqrt.f64 (/.f64 1 (log.f64 10))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (sqrt.f64 (/.f64 1 (log.f64 10))))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (sqrt.f64 (/.f64 1 (log.f64 10))))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 re re) (*.f64 im im)))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (*.f64 (/.f64 (/.f64 (*.f64 re re) im) im) 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) im) im) (log.f64 im)))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (/.f64 (*.f64 re re) im) im)) (*.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (/.f64 1 (log.f64 10))))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) im) im) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) im) im) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (log.f64 im))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 im) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (/.f64 (*.f64 re re) im) im)) (fma.f64 1/6 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (*.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (/.f64 1 (log.f64 10)))))))
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) im) im) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (log.f64 im) (*.f64 1/6 (/.f64 (pow.f64 re 6) (pow.f64 im 6))))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (+.f64 (/.f64 (/.f64 (*.f64 1/2 (*.f64 re re)) im) im) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (+.f64 (log.f64 im) (*.f64 1/6 (/.f64 (pow.f64 re 6) (pow.f64 im 6))))))
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 re))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (neg.f64 (log.f64 re))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 (/.f64 1 re)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 re))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 im im) (*.f64 re re)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) 1/2)) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 re))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (log.f64 re) (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) im))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) im)) (log.f64 re)))
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(fma.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 re))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (*.f64 im im) (*.f64 re re))) (*.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(-.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) 1/2))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (neg.f64 (log.f64 re))))
(fma.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (log.f64 re) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) im)) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) im)) (log.f64 re))))
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(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (*.f64 re re) im) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (*.f64 (/.f64 1/6 (pow.f64 im 6)) (/.f64 (pow.f64 re 6) (log.f64 10))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))))))
(+.f64 (*.f64 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im)))))
(-.f64 (*.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (/.f64 (*.f64 re re) im) im)) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (/.f64 (neg.f64 (log.f64 (/.f64 -1 im))) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (*.f64 (/.f64 1/2 (log.f64 10)) (/.f64 (/.f64 (*.f64 re re) im) im))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (*.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (/.f64 -1/4 (pow.f64 im 4)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (*.f64 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))) (/.f64 (*.f64 1/720 (*.f64 (pow.f64 re 6) 120)) (*.f64 (log.f64 10) (pow.f64 im 6))))))
(-.f64 (fma.f64 1/2 (/.f64 (/.f64 (/.f64 (*.f64 re re) im) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (pow.f64 im 4)) (*.f64 (/.f64 1/720 (log.f64 10)) (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 (*.f64 (/.f64 re (log.f64 10)) (/.f64 (/.f64 re im) im)) (+.f64 1/2 (/.f64 (*.f64 (*.f64 re re) -1/4) (*.f64 im im)))) (-.f64 (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 10)) (pow.f64 im 6))) (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))))

prune389.0ms (9.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2424246
Fresh718
Picked011
Done000
Total2496255
Error
0.0b
Counts
255 → 6
Alt Table
StatusErrorProgram
0.6b
(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
0.6b
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
0.8b
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))
✓0.5b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
0.6b
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
▶0.5b
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
Compiler

Compiled 5831 to 4489 computations (23% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)
✓0.4b
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
✓0.4b
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
0.4b
(/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))

series10.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
re
@0
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
1.0ms
im
@0
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
1.0ms
re
@inf
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
1.0ms
re
@-inf
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
1.0ms
im
@inf
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))

rewrite63.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
668×log-prod_binary64
335×pow2_binary64
232×pow1/3_binary64
230×expm1-udef_binary64
229×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01350
128025
2365525
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))) 2) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))) (sqrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 10))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/4) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (pow.f64 (log.f64 10) 1/6)) (cbrt.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/6)) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/8)) (pow.f64 (log.f64 10) -5/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/8) (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (pow.f64 (log.f64 10) 1/8)) (/.f64 (cbrt.f64 (/.f64 (log.f64 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10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) -3/4)) 3) (pow.f64 (log.f64 10) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))))))

simplify84.0ms (2%)

Algorithm
1×egg-herbie
Rules
617×times-frac_binary64
457×associate-*l*_binary64
441×associate-*r*_binary64
422×unswap-sqr_binary64
418×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01702416
15082396
216802020
370352020
Stop Event
1×node limit
Counts
144 → 174
Calls
Call 1
Inputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 1/720 (*.f64 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 6) (pow.f64 re 6)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re)))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im))))
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(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im)))))))
(*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (+.f64 (*.f64 -1 (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))) (*.f64 1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))))))
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
Outputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))
(fma.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) 1/2)))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 (/.f64 re (/.f64 im re)) (/.f64 1/2 im)) (log.f64 im)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) -1/4))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re (*.f64 im im)) re)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (/.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (log.f64 im))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))))
(fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))))
(fma.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 6) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) -1/4)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (/.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (/.f64 1/6 (/.f64 (pow.f64 im 6) (pow.f64 re 6))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 (/.f64 re (/.f64 im re)) (/.f64 1/2 im)) (log.f64 im))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))
(neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (neg.f64 (log.f64 re))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))))
(fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re)))))
(-.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im re))) (log.f64 re)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re))))))
(-.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) 1/2))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im re))) (log.f64 re))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 (pow.f64 im 6) 120) (pow.f64 re 6))) (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 im im) (*.f64 re re))) (neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re)))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (-.f64 (fma.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 im re) (/.f64 im re))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 1/720 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 re)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im re))) (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 1/6)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (log.f64 re))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))))
(neg.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (neg.f64 (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(fma.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 im im) (*.f64 re re)))))
(-.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im re) (/.f64 im re))) (log.f64 (/.f64 -1 re))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2))))))
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prune847.0ms (20.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3162318
Fresh134
Picked101
Done011
Total3186324
Error
0b
Counts
324 → 6
Alt Table
StatusErrorProgram
0.8b
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))
0.5b
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) -3/4))
✓0.5b
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
0.6b
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
▶0.4b
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4))))
0.6b
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
Compiler

Compiled 9120 to 7394 computations (18.9% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
✓0.3b
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4))))
✓1.0b
(pow.f64 (log.f64 10) 3/4)
✓1.0b
(/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4)))

series8.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
im
@inf
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
1.0ms
re
@inf
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
1.0ms
re
@0
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
1.0ms
im
@0
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
1.0ms
re
@-inf
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))

rewrite82.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
697×log-prod_binary64
257×pow1/3_binary64
256×expm1-udef_binary64
255×log1p-udef_binary64
229×pow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
136751
2473351
Stop Event
1×node limit
Counts
4 → 149
Calls
Call 1
Inputs
(/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4)))
(pow.f64 (log.f64 10) 3/4)
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))) (cbrt.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 1/4))) (cbrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10)))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/8)) (/.f64 1 (pow.f64 (log.f64 10) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (log.f64 10)))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 10) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (*.f64 1/4 (log.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (log.f64 10))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (*.f64 1/4 (log.f64 (log.f64 10)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 10) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 10) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 10) 3/4)) (cbrt.f64 (pow.f64 (log.f64 10) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 10) 3/2)) (cbrt.f64 (pow.f64 (log.f64 10) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) 3/8) (pow.f64 (log.f64 10) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 (log.f64 10) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 3/4) (pow.f64 (cbrt.f64 (log.f64 10)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 10)) 3/4) (pow.f64 (sqrt.f64 (log.f64 10)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 10) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 10) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 10) 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/4 (log.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) 3/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 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simplify88.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
618×times-frac_binary64
454×associate-*l*_binary64
433×associate-*r*_binary64
422×unswap-sqr_binary64
421×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01732400
15102380
216502028
369422024
Stop Event
1×node limit
Counts
197 → 227
Calls
Call 1
Inputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(/.f64 (log.f64 re) (log.f64 10))
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(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 10) (pow.f64 re 6)))) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10)))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10)))
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(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 10) (pow.f64 im 6)))))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 im))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 6) (pow.f64 im 6)))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1/720 (*.f64 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 re))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 -1 re))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (pow.f64 re 6)))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 re))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 6) (pow.f64 re 6)))) (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 im 4) (pow.f64 re 4)))))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (log.f64 (/.f64 1 im))))))
(*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))))
Outputs
(/.f64 (log.f64 im) (log.f64 10))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im)))))
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 10)))
(fma.f64 1/2 (/.f64 re (*.f64 (log.f64 10) (/.f64 im (/.f64 re im)))) (/.f64 (log.f64 im) (log.f64 10)))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 re (*.f64 (log.f64 10) (/.f64 im (/.f64 re im)))) (*.f64 (/.f64 (pow.f64 re 4) (log.f64 10)) (/.f64 -1/4 (pow.f64 im 4)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 10) (pow.f64 im 2)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 10) (*.f64 im im))) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 10) (pow.f64 im 6))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 10) (pow.f64 im 4)))))))
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 10)) (/.f64 re (*.f64 im im))) (/.f64 (log.f64 im) (log.f64 10))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10)))))
(+.f64 (/.f64 (log.f64 im) (log.f64 10)) (fma.f64 1/2 (/.f64 re (*.f64 (log.f64 10) (/.f64 im (/.f64 re im)))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 10)) (*.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 6)) (log.f64 10))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10)))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 10))
(/.f64 (log.f64 re) (log.f64 10))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re)))))
(-.f64 (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 im im) (log.f64 10))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10)) (/.f64 (log.f64 re) (log.f64 10)))
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(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 im im) (log.f64 10)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (/.f64 (log.f64 re) (log.f64 10))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (*.f64 1/720 (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120)) (log.f64 10))))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 10)) (/.f64 (log.f64 re) (log.f64 10)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 10))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re)))))
(-.f64 (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 im im) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (*.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))))))
(-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 (*.f64 im im) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 10) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 10) (pow.f64 re 6)))))))
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 10)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (*.f64 1/720 (/.f64 (/.f64 (pow.f64 im 6) (/.f64 (pow.f64 re 6) 120)) (log.f64 10))))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(-.f64 (fma.f64 1/2 (/.f64 (*.f64 (/.f64 im (*.f64 re re)) im) (log.f64 10)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 10)) (/.f64 (*.f64 (/.f64 1/6 (pow.f64 re 6)) (pow.f64 im 6)) (log.f64 10)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 10)))
(/.f64 (log.f64 re) (log.f64 10))
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)))
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 10))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 10) (pow.f64 re 2)))) (/.f64 (log.f64 re) (log.f64 10)))
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 10)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 10) (*.f64 re re)))))
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(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 re im) (/.f64 re im))) (log.f64 (/.f64 -1 im))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))))
(fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4))))
(fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) 1/4))))
(fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re im) (/.f64 re im))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (log.f64 (/.f64 -1 im)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (pow.f64 im 6)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))))
(fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6))) (fma.f64 1/4 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4)))))
(fma.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/720 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (/.f64 (*.f64 (pow.f64 re 6) 120) (pow.f64 im 6))) (fma.f64 (log.f64 (/.f64 -1 im)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) 1/4)))))
(+.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 -1/6 (/.f64 (pow.f64 re 6) (pow.f64 im 6))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 re im) (/.f64 re im))) (log.f64 (/.f64 -1 im)))))

prune456.0ms (11.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2243227
Fresh404
Picked101
Done101
Total2303233
Error
0b
Counts
233 → 3
Alt Table
StatusErrorProgram
0.4b
(/.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) (/.f64 (pow.f64 (log.f64 10) 3/4) (log.f64 (hypot.f64 re im))))
0.3b
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))
0.0b
(log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))
Compiler

Compiled 6121 to 4930 computations (19.5% saved)

regimes86.0ms (2.1%)

Accuracy

Total -42.6b remaining (-363368%)

Threshold costs -42.6b (-363368%)

Counts
20 → 1
Calls
Call 1
Inputs
(/.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) (/.f64 (pow.f64 (log.f64 10) 3/4) (log.f64 (hypot.f64 re im))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))))
(log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) -3/4))
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 10) 3/4)) (/.f64 1 (neg.f64 (pow.f64 (log.f64 10) 1/4))))
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 1/10))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (log.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))
(pow.f64 (/.f64 (log.f64 10) (log.f64 (hypot.f64 re im))) -1)
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 10)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 10))))
(/.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) (log.f64 10))
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 1/10)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))) 2)
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 10))
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
Outputs
(log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))
Results
11.0ms0.0bre
11.0ms0.0bim
9.0ms0.0b(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 10))
10.0ms0.0b(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
10.0ms0.0b(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
9.0ms0.0b(+.f64 (*.f64 re re) (*.f64 im im))
7.0ms0.0b(*.f64 re re)
8.0ms0.0b(*.f64 im im)
Compiler

Compiled 365 to 246 computations (32.6% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01525
11725
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))
Outputs
(log.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 10) -3/4)) (/.f64 1 (pow.f64 (log.f64 10) 1/4))))

end28.0ms (0.7%)

Stop Event
1×fuel
Remove

(sort re im)

Compiler

Compiled 72 to 64 computations (11.1% saved)

Profiling

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