6.695 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying using # : (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.058 * * [simplify]: iteration 0 : 27 enodes (cost 16 ) 0.060 * * [simplify]: iteration 1 : 44 enodes (cost 16 ) 0.061 * * [simplify]: iteration 2 : 56 enodes (cost 16 ) 0.063 * * [simplify]: iteration 3 : 74 enodes (cost 16 ) 0.064 * * [simplify]: iteration 4 : 80 enodes (cost 16 ) 0.066 * * [simplify]: iteration 5 : 80 enodes (cost 16 ) 0.066 * [simplify]: Simplified to: (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.067 * * [progress]: iteration 1 / 4 0.067 * * * [progress]: picking best candidate 0.070 * * * * [pick]: Picked # 0.070 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 0.096 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.100 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.105 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.116 * * * [progress]: generating series expansions 0.117 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.117 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.117 * [taylor]: Taking taylor expansion of re in im 0.117 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.117 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.118 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.118 * [taylor]: Taking taylor expansion of re in re 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.118 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.119 * [taylor]: Taking taylor expansion of re in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [taylor]: Taking taylor expansion of im in im 0.120 * [taylor]: Taking taylor expansion of 0 in im 0.121 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.121 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.124 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.124 * [taylor]: Taking taylor expansion of re in im 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.127 * [taylor]: Taking taylor expansion of im in re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.129 * [taylor]: Taking taylor expansion of im in re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.129 * [taylor]: Taking taylor expansion of re in re 0.132 * [taylor]: Taking taylor expansion of 1 in im 0.132 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of 1/2 in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.138 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.139 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.139 * [taylor]: Taking taylor expansion of re in im 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.141 * [taylor]: Taking taylor expansion of im in re 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.141 * [taylor]: Taking taylor expansion of re in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.147 * [taylor]: Taking taylor expansion of 1 in im 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of 1/2 in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.152 * [taylor]: Taking taylor expansion of 0 in im 0.153 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.153 * [approximate]: Taking taylor expansion of (pow (log base) 2) in (base) around 0 0.153 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.154 * [taylor]: Taking taylor expansion of (log base) in base 0.154 * [taylor]: Taking taylor expansion of base in base 0.154 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.154 * [taylor]: Taking taylor expansion of (log base) in base 0.154 * [taylor]: Taking taylor expansion of base in base 0.200 * [approximate]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in (base) around 0 0.200 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.200 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.200 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.200 * [taylor]: Taking taylor expansion of base in base 0.201 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.201 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.201 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.201 * [taylor]: Taking taylor expansion of base in base 0.251 * [approximate]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in (base) around 0 0.251 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.251 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.251 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.251 * [taylor]: Taking taylor expansion of -1 in base 0.251 * [taylor]: Taking taylor expansion of base in base 0.252 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.252 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.252 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.252 * [taylor]: Taking taylor expansion of -1 in base 0.252 * [taylor]: Taking taylor expansion of base in base 0.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.305 * [approximate]: Taking taylor expansion of (* (atan2 im re) (log base)) in (im re base) around 0 0.305 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.305 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.305 * [taylor]: Taking taylor expansion of (log base) in base 0.305 * [taylor]: Taking taylor expansion of base in base 0.306 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.306 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.306 * [taylor]: Taking taylor expansion of (log base) in re 0.306 * [taylor]: Taking taylor expansion of base in re 0.306 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.306 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.306 * [taylor]: Taking taylor expansion of (log base) in im 0.306 * [taylor]: Taking taylor expansion of base in im 0.306 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.306 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.306 * [taylor]: Taking taylor expansion of (log base) in im 0.306 * [taylor]: Taking taylor expansion of base in im 0.306 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.306 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.306 * [taylor]: Taking taylor expansion of (log base) in re 0.306 * [taylor]: Taking taylor expansion of base in re 0.306 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.306 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.306 * [taylor]: Taking taylor expansion of (log base) in base 0.306 * [taylor]: Taking taylor expansion of base in base 0.308 * [taylor]: Taking taylor expansion of 0 in re 0.308 * [taylor]: Taking taylor expansion of 0 in base 0.308 * [taylor]: Taking taylor expansion of 0 in base 0.311 * [taylor]: Taking taylor expansion of 0 in re 0.311 * [taylor]: Taking taylor expansion of 0 in base 0.311 * [taylor]: Taking taylor expansion of 0 in base 0.312 * [taylor]: Taking taylor expansion of 0 in base 0.313 * [approximate]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.313 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.313 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.313 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.313 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.313 * [taylor]: Taking taylor expansion of base in base 0.313 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.313 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.313 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.313 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.313 * [taylor]: Taking taylor expansion of base in re 0.313 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.313 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.313 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.313 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.314 * [taylor]: Taking taylor expansion of base in im 0.314 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.314 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.314 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.314 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.314 * [taylor]: Taking taylor expansion of base in im 0.314 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.314 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.314 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.314 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.314 * [taylor]: Taking taylor expansion of base in re 0.314 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.314 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.314 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.314 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.314 * [taylor]: Taking taylor expansion of base in base 0.316 * [taylor]: Taking taylor expansion of 0 in re 0.316 * [taylor]: Taking taylor expansion of 0 in base 0.317 * [taylor]: Taking taylor expansion of 0 in base 0.325 * [taylor]: Taking taylor expansion of 0 in re 0.325 * [taylor]: Taking taylor expansion of 0 in base 0.325 * [taylor]: Taking taylor expansion of 0 in base 0.327 * [taylor]: Taking taylor expansion of 0 in base 0.327 * [approximate]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (im re base) around 0 0.327 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 0.327 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.327 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.327 * [taylor]: Taking taylor expansion of -1 in base 0.327 * [taylor]: Taking taylor expansion of base in base 0.328 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.328 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 0.328 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.328 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.328 * [taylor]: Taking taylor expansion of -1 in re 0.328 * [taylor]: Taking taylor expansion of base in re 0.328 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.328 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.328 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.328 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.328 * [taylor]: Taking taylor expansion of -1 in im 0.328 * [taylor]: Taking taylor expansion of base in im 0.328 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.328 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.328 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.328 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.328 * [taylor]: Taking taylor expansion of -1 in im 0.328 * [taylor]: Taking taylor expansion of base in im 0.328 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.328 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 0.328 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.328 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.328 * [taylor]: Taking taylor expansion of -1 in re 0.328 * [taylor]: Taking taylor expansion of base in re 0.328 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.329 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 0.329 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.329 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.329 * [taylor]: Taking taylor expansion of -1 in base 0.329 * [taylor]: Taking taylor expansion of base in base 0.329 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.331 * [taylor]: Taking taylor expansion of 0 in re 0.331 * [taylor]: Taking taylor expansion of 0 in base 0.332 * [taylor]: Taking taylor expansion of 0 in base 0.336 * [taylor]: Taking taylor expansion of 0 in re 0.336 * [taylor]: Taking taylor expansion of 0 in base 0.336 * [taylor]: Taking taylor expansion of 0 in base 0.337 * [taylor]: Taking taylor expansion of 0 in base 0.338 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.339 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.339 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.339 * [taylor]: Taking taylor expansion of (log base) in base 0.339 * [taylor]: Taking taylor expansion of base in base 0.339 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.340 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.340 * [taylor]: Taking taylor expansion of (log base) in re 0.340 * [taylor]: Taking taylor expansion of base in re 0.340 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.340 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.340 * [taylor]: Taking taylor expansion of (log base) in im 0.340 * [taylor]: Taking taylor expansion of base in im 0.340 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.340 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.340 * [taylor]: Taking taylor expansion of (log base) in im 0.340 * [taylor]: Taking taylor expansion of base in im 0.340 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.340 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.340 * [taylor]: Taking taylor expansion of (log base) in re 0.340 * [taylor]: Taking taylor expansion of base in re 0.340 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.340 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.340 * [taylor]: Taking taylor expansion of (log base) in base 0.340 * [taylor]: Taking taylor expansion of base in base 0.342 * [taylor]: Taking taylor expansion of 0 in re 0.342 * [taylor]: Taking taylor expansion of 0 in base 0.342 * [taylor]: Taking taylor expansion of 0 in base 0.345 * [taylor]: Taking taylor expansion of 0 in re 0.345 * [taylor]: Taking taylor expansion of 0 in base 0.345 * [taylor]: Taking taylor expansion of 0 in base 0.346 * [taylor]: Taking taylor expansion of 0 in base 0.347 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.347 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.347 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.347 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.347 * [taylor]: Taking taylor expansion of base in base 0.348 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.348 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.349 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.349 * [taylor]: Taking taylor expansion of base in re 0.349 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.349 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.349 * [taylor]: Taking taylor expansion of base in im 0.349 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.349 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.349 * [taylor]: Taking taylor expansion of base in im 0.349 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.349 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.349 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.349 * [taylor]: Taking taylor expansion of base in re 0.350 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.350 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.350 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.350 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.350 * [taylor]: Taking taylor expansion of base in base 0.352 * [taylor]: Taking taylor expansion of 0 in re 0.352 * [taylor]: Taking taylor expansion of 0 in base 0.352 * [taylor]: Taking taylor expansion of 0 in base 0.356 * [taylor]: Taking taylor expansion of 0 in re 0.356 * [taylor]: Taking taylor expansion of 0 in base 0.356 * [taylor]: Taking taylor expansion of 0 in base 0.357 * [taylor]: Taking taylor expansion of 0 in base 0.358 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.358 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.358 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.358 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.358 * [taylor]: Taking taylor expansion of -1 in base 0.358 * [taylor]: Taking taylor expansion of base in base 0.360 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.360 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.360 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.360 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.360 * [taylor]: Taking taylor expansion of -1 in re 0.360 * [taylor]: Taking taylor expansion of base in re 0.360 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.360 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.360 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.360 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.360 * [taylor]: Taking taylor expansion of -1 in im 0.360 * [taylor]: Taking taylor expansion of base in im 0.361 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.361 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.361 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.361 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.361 * [taylor]: Taking taylor expansion of -1 in im 0.361 * [taylor]: Taking taylor expansion of base in im 0.361 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.361 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.361 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.361 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.361 * [taylor]: Taking taylor expansion of -1 in re 0.361 * [taylor]: Taking taylor expansion of base in re 0.361 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.361 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.361 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.361 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.361 * [taylor]: Taking taylor expansion of -1 in base 0.361 * [taylor]: Taking taylor expansion of base in base 0.364 * [taylor]: Taking taylor expansion of 0 in re 0.364 * [taylor]: Taking taylor expansion of 0 in base 0.365 * [taylor]: Taking taylor expansion of 0 in base 0.370 * [taylor]: Taking taylor expansion of 0 in re 0.370 * [taylor]: Taking taylor expansion of 0 in base 0.370 * [taylor]: Taking taylor expansion of 0 in base 0.371 * [taylor]: Taking taylor expansion of 0 in base 0.372 * * * [progress]: simplifying candidates 0.374 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) 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im)))) 0.0))))) (* (+ (* (log base) (log base)) (* 0.0 0.0)) (+ (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) im re (* -1 re) (pow (log base) 2) (pow (log (/ 1 base)) 2) (pow (- (log -1) (log (/ -1 base))) 2) (* (atan2 im re) (log base)) (* -1 (* (atan2 im re) (log (/ 1 base)))) (* (atan2 im re) (- (log -1) (log (/ -1 base)))) (/ (atan2 im re) (log base)) (* -1 (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (- (log -1) (log (/ -1 base)))) 0.381 * * [simplify]: iteration 0 : 444 enodes (cost 1213 ) 0.389 * * [simplify]: iteration 1 : 1816 enodes (cost 1100 ) 0.423 * * [simplify]: iteration 2 : 5001 enodes (cost 1070 ) 0.428 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im 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(log base)) (* 0.0 0.0))))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ 1 (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* 0.0 0.0) (pow (log base) 2))) (/ 1 (+ (* (log base) (log base)) (* 0.0 0.0))) (/ (+ (* 0.0 0.0) (pow (log base) 2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (* (cbrt (+ (* (log base) (log base)) (* 0.0 0.0))) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0))))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (/ (+ (* (log base) (log base)) (* 0.0 0.0)) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (+ (* 0.0 0.0) (pow (log base) 2)) (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (+ (* 0.0 0.0) (pow (log base) 2)) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (pow (* (log base) (log base)) 3) (pow (* 0.0 0.0) 3))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (- (pow 0.0 3)) 0.0) (pow (log base) 4))) (* (+ (* (* (log (sqrt (+ (* re re) (* im im)))) 0.0) (+ (* (log (sqrt (+ (* re re) (* im im)))) 0.0) (* (atan2 im re) (log base)))) (* (* (atan2 im re) (atan2 im re)) (pow (log base) 2))) (+ (* 0.0 0.0) (pow (log base) 2))) (* (+ (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* 0.0 0.0) (pow (log base) 2))) im re (* -1 re) (pow (log base) 2) (pow (log base) 2) (pow (log base) 2) (* (atan2 im re) (log base)) (* (atan2 im re) (log base)) (* (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (* -1 (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (log base)) 0.429 * * * [progress]: adding candidates to table 0.819 * * [progress]: iteration 2 / 4 0.819 * * * [progress]: picking best candidate 0.861 * * * * [pick]: Picked # 0.861 * * * [progress]: localizing error 0.870 * * * [progress]: generating rewritten candidates 0.871 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.876 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.876 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in (im re base) around 0 0.876 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in base 0.876 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.876 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.876 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.876 * [taylor]: Taking taylor expansion of base in base 0.878 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in re 0.878 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.878 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.878 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.878 * [taylor]: Taking taylor expansion of base in re 0.878 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in im 0.878 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.878 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.878 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.878 * [taylor]: Taking taylor expansion of base in im 0.878 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in im 0.878 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.878 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.878 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.878 * [taylor]: Taking taylor expansion of base in im 0.879 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in re 0.879 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.879 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.879 * [taylor]: Taking taylor expansion of base in re 0.879 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in base 0.879 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.879 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.879 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.879 * [taylor]: Taking taylor expansion of base in base 0.881 * [taylor]: Taking taylor expansion of 0 in re 0.881 * [taylor]: Taking taylor expansion of 0 in base 0.882 * [taylor]: Taking taylor expansion of 0 in base 0.885 * [taylor]: Taking taylor expansion of 0 in re 0.885 * [taylor]: Taking taylor expansion of 0 in base 0.885 * [taylor]: Taking taylor expansion of 0 in base 0.887 * [taylor]: Taking taylor expansion of 0 in base 0.887 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in (im re base) around 0 0.887 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in base 0.887 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.887 * [taylor]: Taking taylor expansion of (log base) in base 0.887 * [taylor]: Taking taylor expansion of base in base 0.888 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 0.888 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.888 * [taylor]: Taking taylor expansion of (log base) in re 0.888 * [taylor]: Taking taylor expansion of base in re 0.888 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 0.888 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.888 * [taylor]: Taking taylor expansion of (log base) in im 0.888 * [taylor]: Taking taylor expansion of base in im 0.888 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 0.888 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.888 * [taylor]: Taking taylor expansion of (log base) in im 0.888 * [taylor]: Taking taylor expansion of base in im 0.889 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 0.889 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.889 * [taylor]: Taking taylor expansion of (log base) in re 0.889 * [taylor]: Taking taylor expansion of base in re 0.889 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in base 0.889 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.889 * [taylor]: Taking taylor expansion of (log base) in base 0.889 * [taylor]: Taking taylor expansion of base in base 0.890 * [taylor]: Taking taylor expansion of 0 in re 0.890 * [taylor]: Taking taylor expansion of 0 in base 0.891 * [taylor]: Taking taylor expansion of 0 in base 0.894 * [taylor]: Taking taylor expansion of 0 in re 0.894 * [taylor]: Taking taylor expansion of 0 in base 0.894 * [taylor]: Taking taylor expansion of 0 in base 0.895 * [taylor]: Taking taylor expansion of 0 in base 0.896 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in (im re base) around 0 0.896 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in base 0.896 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.896 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 0.896 * [taylor]: Taking taylor expansion of (* -1 base) in base 0.896 * [taylor]: Taking taylor expansion of -1 in base 0.896 * [taylor]: Taking taylor expansion of base in base 0.898 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in re 0.898 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.898 * [taylor]: Taking taylor expansion of (log (* -1 base)) in re 0.898 * [taylor]: Taking taylor expansion of (* -1 base) in re 0.898 * [taylor]: Taking taylor expansion of -1 in re 0.898 * [taylor]: Taking taylor expansion of base in re 0.899 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in im 0.899 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.899 * [taylor]: Taking taylor expansion of (log (* -1 base)) in im 0.899 * [taylor]: Taking taylor expansion of (* -1 base) in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.899 * [taylor]: Taking taylor expansion of base in im 0.899 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in im 0.899 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.899 * [taylor]: Taking taylor expansion of (log (* -1 base)) in im 0.899 * [taylor]: Taking taylor expansion of (* -1 base) in im 0.899 * [taylor]: Taking taylor expansion of -1 in im 0.899 * [taylor]: Taking taylor expansion of base in im 0.899 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in re 0.899 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.899 * [taylor]: Taking taylor expansion of (log (* -1 base)) in re 0.899 * [taylor]: Taking taylor expansion of (* -1 base) in re 0.899 * [taylor]: Taking taylor expansion of -1 in re 0.899 * [taylor]: Taking taylor expansion of base in re 0.899 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in base 0.899 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.900 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 0.900 * [taylor]: Taking taylor expansion of (* -1 base) in base 0.900 * [taylor]: Taking taylor expansion of -1 in base 0.900 * [taylor]: Taking taylor expansion of base in base 0.903 * [taylor]: Taking taylor expansion of 0 in re 0.903 * [taylor]: Taking taylor expansion of 0 in base 0.904 * [taylor]: Taking taylor expansion of 0 in base 0.910 * [taylor]: Taking taylor expansion of 0 in re 0.910 * [taylor]: Taking taylor expansion of 0 in base 0.910 * [taylor]: Taking taylor expansion of 0 in base 0.912 * [taylor]: Taking taylor expansion of 0 in base 0.912 * * * [progress]: simplifying candidates 0.913 * [simplify]: Simplifying using # : (- (log (atan2 im re)) (log (log (/ 1 base)))) (log (/ (atan2 im re) (log (/ 1 base)))) (exp (/ (atan2 im re) (log (/ 1 base)))) (/ (* (* (atan2 im re) (atan2 im re)) (atan2 im re)) (* (* (log (/ 1 base)) (log (/ 1 base))) (log (/ 1 base)))) (* (cbrt (/ (atan2 im re) (log (/ 1 base)))) (cbrt (/ (atan2 im re) (log (/ 1 base))))) (cbrt (/ (atan2 im re) (log (/ 1 base)))) (* (* (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (log (/ 1 base)))) (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt (/ (atan2 im re) (log (/ 1 base)))) (- (atan2 im re)) (- (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) -1) (/ (cbrt (atan2 im re)) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (- 1)) (/ (cbrt (atan2 im re)) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) 1) (/ (cbrt (atan2 im re)) (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (cbrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log (/ 1 base)))) (/ (cbrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) 1) (/ (cbrt (atan2 im re)) (log (/ 1 base))) (/ (sqrt (atan2 im re)) -1) (/ (sqrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) (- 1)) (/ (sqrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) 1) (/ (sqrt (atan2 im re)) (log (/ 1 base))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (sqrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) 1) (/ (sqrt (atan2 im re)) (log (/ 1 base))) (/ 1 -1) (/ (atan2 im re) (log base)) (/ 1 (- 1)) (/ (atan2 im re) (log base)) (/ 1 1) (/ (atan2 im re) (log (/ 1 base))) (/ 1 (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ 1 (sqrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (/ 1 1) (/ (atan2 im re) (log (/ 1 base))) (/ 1 (log (/ 1 base))) (/ (log (/ 1 base)) (atan2 im re)) (/ (atan2 im re) -1) (/ (atan2 im re) (- 1)) (/ (atan2 im re) 1) (/ (atan2 im re) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (/ (atan2 im re) 1) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (/ (log (/ 1 base)) (atan2 im re)) (* -1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (+ (log -1) (log (/ -1 base)))) 0.917 * * [simplify]: iteration 0 : 118 enodes (cost 300 ) 0.919 * * [simplify]: iteration 1 : 349 enodes (cost 280 ) 0.925 * * [simplify]: iteration 2 : 1031 enodes (cost 275 ) 0.941 * * [simplify]: iteration 3 : 2871 enodes (cost 272 ) 0.995 * * [simplify]: iteration 4 : 5001 enodes (cost 272 ) 0.997 * [simplify]: Simplified to: (log (/ (atan2 im re) (log (/ 1 base)))) (log (/ (atan2 im re) (log (/ 1 base)))) (exp (/ (atan2 im re) (log (/ 1 base)))) (pow (/ (atan2 im re) (log (/ 1 base))) 3) (* (cbrt (/ (atan2 im re) (log (/ 1 base)))) (cbrt (/ (atan2 im re) (log (/ 1 base))))) (cbrt (/ (atan2 im re) (log (/ 1 base)))) (pow (/ (atan2 im re) (log (/ 1 base))) 3) (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt (/ (atan2 im re) (log (/ 1 base)))) (* -1 (atan2 im re)) (log base) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) -1) (/ (cbrt (atan2 im re)) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) -1) (/ (cbrt (atan2 im re)) (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ (cbrt (atan2 im re)) (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (cbrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log (/ 1 base)))) (/ (cbrt (atan2 im re)) (sqrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ (cbrt (atan2 im re)) (log (/ 1 base))) (/ (sqrt (atan2 im re)) -1) (/ (sqrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) -1) (/ (sqrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (sqrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) -1 (/ (atan2 im re) (log base)) -1 (/ (atan2 im re) (log base)) 1 (* -1 (/ (atan2 im re) (log base))) (/ 1 (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ 1 (sqrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) 1 (* -1 (/ (atan2 im re) (log base))) (/ -1 (log base)) (/ (log (/ 1 base)) (atan2 im re)) (* -1 (atan2 im re)) (* -1 (atan2 im re)) (atan2 im re) (/ (atan2 im re) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (atan2 im re) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (/ (log (/ 1 base)) (atan2 im re)) (* -1 (/ (atan2 im re) (log base))) (* -1 (/ (atan2 im re) (log base))) (* -1 (/ (atan2 im re) (log base))) 0.997 * * * [progress]: adding candidates to table 1.078 * * [progress]: iteration 3 / 4 1.078 * * * [progress]: picking best candidate 1.113 * * * * [pick]: Picked # 1.113 * * * [progress]: localizing error 1.123 * * * [progress]: generating rewritten candidates 1.123 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 2) 1.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.147 * * * [progress]: generating series expansions 1.147 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 2) 1.147 * [approximate]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 im re)) in (base im re) around 0 1.147 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 im re)) in re 1.147 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.147 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.147 * [taylor]: Taking taylor expansion of base in re 1.147 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.147 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 im re)) in im 1.147 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.147 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.147 * [taylor]: Taking taylor expansion of base in im 1.148 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.148 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 im re)) in base 1.148 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.148 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.148 * [taylor]: Taking taylor expansion of base in base 1.149 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.149 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 im re)) in base 1.149 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.149 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.149 * [taylor]: Taking taylor expansion of base in base 1.150 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.150 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 im re))) in im 1.150 * [taylor]: Taking taylor expansion of -1 in im 1.150 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in im 1.150 * [taylor]: Taking taylor expansion of (log base) in im 1.151 * [taylor]: Taking taylor expansion of base in im 1.151 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.151 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 im re))) in re 1.151 * [taylor]: Taking taylor expansion of -1 in re 1.151 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in re 1.151 * [taylor]: Taking taylor expansion of (log base) in re 1.151 * [taylor]: Taking taylor expansion of base in re 1.151 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.152 * [taylor]: Taking taylor expansion of 0 in im 1.152 * [taylor]: Taking taylor expansion of 0 in re 1.153 * [taylor]: Taking taylor expansion of 0 in re 1.156 * [taylor]: Taking taylor expansion of 0 in im 1.157 * [taylor]: Taking taylor expansion of 0 in re 1.157 * [taylor]: Taking taylor expansion of 0 in re 1.158 * [taylor]: Taking taylor expansion of 0 in re 1.159 * [approximate]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in (base im re) around 0 1.159 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in re 1.159 * [taylor]: Taking taylor expansion of (log base) in re 1.159 * [taylor]: Taking taylor expansion of base in re 1.159 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.159 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in im 1.159 * [taylor]: Taking taylor expansion of (log base) in im 1.159 * [taylor]: Taking taylor expansion of base in im 1.159 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.159 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in base 1.159 * [taylor]: Taking taylor expansion of (log base) in base 1.159 * [taylor]: Taking taylor expansion of base in base 1.159 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.160 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in base 1.160 * [taylor]: Taking taylor expansion of (log base) in base 1.160 * [taylor]: Taking taylor expansion of base in base 1.160 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.161 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in im 1.161 * [taylor]: Taking taylor expansion of (log base) in im 1.161 * [taylor]: Taking taylor expansion of base in im 1.161 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.161 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in re 1.161 * [taylor]: Taking taylor expansion of (log base) in re 1.161 * [taylor]: Taking taylor expansion of base in re 1.161 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.162 * [taylor]: Taking taylor expansion of 0 in im 1.162 * [taylor]: Taking taylor expansion of 0 in re 1.163 * [taylor]: Taking taylor expansion of 0 in re 1.166 * [taylor]: Taking taylor expansion of 0 in im 1.166 * [taylor]: Taking taylor expansion of 0 in re 1.166 * [taylor]: Taking taylor expansion of 0 in re 1.167 * [taylor]: Taking taylor expansion of 0 in re 1.167 * [approximate]: Taking taylor expansion of (/ (log (* -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (base im re) around 0 1.167 * [taylor]: Taking taylor expansion of (/ (log (* -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 1.167 * [taylor]: Taking taylor expansion of (log (* -1 base)) in re 1.167 * [taylor]: Taking taylor expansion of (* -1 base) in re 1.167 * [taylor]: Taking taylor expansion of -1 in re 1.167 * [taylor]: Taking taylor expansion of base in re 1.167 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.168 * [taylor]: Taking taylor expansion of (/ (log (* -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 1.168 * [taylor]: Taking taylor expansion of (log (* -1 base)) in im 1.168 * [taylor]: Taking taylor expansion of (* -1 base) in im 1.168 * [taylor]: Taking taylor expansion of -1 in im 1.168 * [taylor]: Taking taylor expansion of base in im 1.168 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.168 * [taylor]: Taking taylor expansion of (/ (log (* -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 1.168 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 1.168 * [taylor]: Taking taylor expansion of (* -1 base) in base 1.168 * [taylor]: Taking taylor expansion of -1 in base 1.168 * [taylor]: Taking taylor expansion of base in base 1.169 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.170 * [taylor]: Taking taylor expansion of (/ (log (* -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 1.170 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 1.170 * [taylor]: Taking taylor expansion of (* -1 base) in base 1.170 * [taylor]: Taking taylor expansion of -1 in base 1.170 * [taylor]: Taking taylor expansion of base in base 1.171 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.173 * [taylor]: Taking taylor expansion of (/ (+ (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in im 1.173 * [taylor]: Taking taylor expansion of (+ (log -1) (log base)) in im 1.173 * [taylor]: Taking taylor expansion of (log -1) in im 1.173 * [taylor]: Taking taylor expansion of -1 in im 1.173 * [taylor]: Taking taylor expansion of (log base) in im 1.173 * [taylor]: Taking taylor expansion of base in im 1.173 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.174 * [taylor]: Taking taylor expansion of (/ (+ (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in re 1.174 * [taylor]: Taking taylor expansion of (+ (log -1) (log base)) in re 1.174 * [taylor]: Taking taylor expansion of (log -1) in re 1.174 * [taylor]: Taking taylor expansion of -1 in re 1.174 * [taylor]: Taking taylor expansion of (log base) in re 1.174 * [taylor]: Taking taylor expansion of base in re 1.174 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.177 * [taylor]: Taking taylor expansion of 0 in im 1.177 * [taylor]: Taking taylor expansion of 0 in re 1.179 * [taylor]: Taking taylor expansion of 0 in re 1.183 * [taylor]: Taking taylor expansion of 0 in im 1.184 * [taylor]: Taking taylor expansion of 0 in re 1.184 * [taylor]: Taking taylor expansion of 0 in re 1.187 * [taylor]: Taking taylor expansion of 0 in re 1.187 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.187 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in (base im re) around 0 1.187 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in re 1.187 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.187 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.187 * [taylor]: Taking taylor expansion of base in re 1.188 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in im 1.188 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.188 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.188 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.188 * [taylor]: Taking taylor expansion of base in im 1.188 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in base 1.188 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.188 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.188 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.188 * [taylor]: Taking taylor expansion of base in base 1.189 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log (/ 1 base))) in base 1.189 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.189 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.189 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.189 * [taylor]: Taking taylor expansion of base in base 1.190 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in im 1.190 * [taylor]: Taking taylor expansion of -1 in im 1.190 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.190 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.190 * [taylor]: Taking taylor expansion of (log base) in im 1.190 * [taylor]: Taking taylor expansion of base in im 1.190 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in re 1.190 * [taylor]: Taking taylor expansion of -1 in re 1.190 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.190 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.191 * [taylor]: Taking taylor expansion of (log base) in re 1.191 * [taylor]: Taking taylor expansion of base in re 1.193 * [taylor]: Taking taylor expansion of 0 in im 1.193 * [taylor]: Taking taylor expansion of 0 in re 1.194 * [taylor]: Taking taylor expansion of 0 in re 1.198 * [taylor]: Taking taylor expansion of 0 in im 1.198 * [taylor]: Taking taylor expansion of 0 in re 1.198 * [taylor]: Taking taylor expansion of 0 in re 1.200 * [taylor]: Taking taylor expansion of 0 in re 1.200 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in (base im re) around 0 1.200 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 1.200 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.200 * [taylor]: Taking taylor expansion of (log base) in re 1.200 * [taylor]: Taking taylor expansion of base in re 1.200 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 1.200 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.200 * [taylor]: Taking taylor expansion of (log base) in im 1.200 * [taylor]: Taking taylor expansion of base in im 1.201 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in base 1.201 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.201 * [taylor]: Taking taylor expansion of (log base) in base 1.201 * [taylor]: Taking taylor expansion of base in base 1.202 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in base 1.202 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.202 * [taylor]: Taking taylor expansion of (log base) in base 1.202 * [taylor]: Taking taylor expansion of base in base 1.203 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 1.203 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.203 * [taylor]: Taking taylor expansion of (log base) in im 1.203 * [taylor]: Taking taylor expansion of base in im 1.203 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 1.203 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.203 * [taylor]: Taking taylor expansion of (log base) in re 1.203 * [taylor]: Taking taylor expansion of base in re 1.204 * [taylor]: Taking taylor expansion of 0 in im 1.205 * [taylor]: Taking taylor expansion of 0 in re 1.205 * [taylor]: Taking taylor expansion of 0 in re 1.208 * [taylor]: Taking taylor expansion of 0 in im 1.208 * [taylor]: Taking taylor expansion of 0 in re 1.208 * [taylor]: Taking taylor expansion of 0 in re 1.210 * [taylor]: Taking taylor expansion of 0 in re 1.210 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in (base im re) around 0 1.210 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in re 1.210 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.210 * [taylor]: Taking taylor expansion of (log (* -1 base)) in re 1.210 * [taylor]: Taking taylor expansion of (* -1 base) in re 1.210 * [taylor]: Taking taylor expansion of -1 in re 1.210 * [taylor]: Taking taylor expansion of base in re 1.210 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in im 1.210 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.210 * [taylor]: Taking taylor expansion of (log (* -1 base)) in im 1.210 * [taylor]: Taking taylor expansion of (* -1 base) in im 1.210 * [taylor]: Taking taylor expansion of -1 in im 1.210 * [taylor]: Taking taylor expansion of base in im 1.210 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in base 1.210 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.211 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 1.211 * [taylor]: Taking taylor expansion of (* -1 base) in base 1.211 * [taylor]: Taking taylor expansion of -1 in base 1.211 * [taylor]: Taking taylor expansion of base in base 1.213 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (* -1 base))) in base 1.213 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.213 * [taylor]: Taking taylor expansion of (log (* -1 base)) in base 1.213 * [taylor]: Taking taylor expansion of (* -1 base) in base 1.213 * [taylor]: Taking taylor expansion of -1 in base 1.213 * [taylor]: Taking taylor expansion of base in base 1.215 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (+ (log -1) (log base))) in im 1.215 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.215 * [taylor]: Taking taylor expansion of (+ (log -1) (log base)) in im 1.215 * [taylor]: Taking taylor expansion of (log -1) in im 1.216 * [taylor]: Taking taylor expansion of -1 in im 1.216 * [taylor]: Taking taylor expansion of (log base) in im 1.216 * [taylor]: Taking taylor expansion of base in im 1.216 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (+ (log -1) (log base))) in re 1.216 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.217 * [taylor]: Taking taylor expansion of (+ (log -1) (log base)) in re 1.217 * [taylor]: Taking taylor expansion of (log -1) in re 1.217 * [taylor]: Taking taylor expansion of -1 in re 1.217 * [taylor]: Taking taylor expansion of (log base) in re 1.217 * [taylor]: Taking taylor expansion of base in re 1.221 * [taylor]: Taking taylor expansion of 0 in im 1.221 * [taylor]: Taking taylor expansion of 0 in re 1.224 * [taylor]: Taking taylor expansion of 0 in re 1.236 * [taylor]: Taking taylor expansion of 0 in im 1.236 * [taylor]: Taking taylor expansion of 0 in re 1.236 * [taylor]: Taking taylor expansion of 0 in re 1.240 * [taylor]: Taking taylor expansion of 0 in re 1.240 * * * [progress]: simplifying candidates 1.243 * [simplify]: Simplifying using # : (- (log (log (/ 1 base))) (log (atan2 im re))) (log (/ (log (/ 1 base)) (atan2 im re))) (exp (/ (log (/ 1 base)) (atan2 im re))) (/ (* (* (log (/ 1 base)) (log (/ 1 base))) (log (/ 1 base))) (* (* (atan2 im re) (atan2 im re)) (atan2 im re))) (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ (log (/ 1 base)) (atan2 im re))) (* (* (/ (log (/ 1 base)) (atan2 im re)) (/ (log (/ 1 base)) (atan2 im re))) (/ (log (/ 1 base)) (atan2 im re))) (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt (/ (log (/ 1 base)) (atan2 im re))) (- (log (/ 1 base))) (- (atan2 im re)) (/ (log 1) (atan2 im re)) (/ (log base) (atan2 im re)) (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (cbrt (atan2 im re))) (/ -1 (sqrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) (/ -1 1) (/ (log base) (atan2 im re)) (/ (- 1) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (cbrt (atan2 im re))) (/ (- 1) (sqrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) (/ (- 1) 1) (/ (log base) (atan2 im re)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ 1 (sqrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (/ 1 1) (/ (log (/ 1 base)) (atan2 im re)) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (log (/ 1 base))) (cbrt (atan2 im re))) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re))) (/ (cbrt (log (/ 1 base))) (sqrt (atan2 im re))) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) 1) (/ (cbrt (log (/ 1 base))) (atan2 im re)) (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (sqrt (log (/ 1 base))) (cbrt (atan2 im re))) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re))) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re))) (/ (sqrt (log (/ 1 base))) 1) (/ (sqrt (log (/ 1 base))) (atan2 im re)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ 1 (sqrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (/ 1 1) (/ (log (/ 1 base)) (atan2 im re)) (/ 1 (atan2 im re)) (/ (atan2 im re) (log (/ 1 base))) (/ (log base) (atan2 im re)) (/ (log (/ 1 base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (/ (log (/ 1 base)) 1) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (/ (atan2 im re) (log (/ 1 base))) (- 1) (- (- (log (log (/ 1 base))) (log (atan2 im re)))) (- (log (/ (log (/ 1 base)) (atan2 im re)))) (- 0 (- (log (log (/ 1 base))) (log (atan2 im re)))) (- 0 (log (/ (log (/ 1 base)) (atan2 im re)))) (- (log 1) (- (log (log (/ 1 base))) (log (atan2 im re)))) (- (log 1) (log (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (exp (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (/ (* (* 1 1) 1) (/ (* (* (log (/ 1 base)) (log (/ 1 base))) (log (/ 1 base))) (* (* (atan2 im re) (atan2 im re)) (atan2 im re)))) (/ (* (* 1 1) 1) (* (* (/ (log (/ 1 base)) (atan2 im re)) (/ (log (/ 1 base)) (atan2 im re))) (/ (log (/ 1 base)) (atan2 im re)))) (* (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re))))) (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (* (* (/ 1 (/ (log (/ 1 base)) (atan2 im re))) (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (sqrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (sqrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (- 1) (- (/ (log (/ 1 base)) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re))))) (/ (cbrt 1) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (cbrt 1) (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (log base) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (log base) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ -1 1)) (/ (cbrt 1) (/ (log base) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (log base) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (log base) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (- 1) 1)) (/ (cbrt 1) (/ (log base) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (cbrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (cbrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) 1)) (/ (cbrt 1) (/ (cbrt (log (/ 1 base))) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (sqrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log (/ 1 base))) 1)) (/ (cbrt 1) (/ (sqrt (log (/ 1 base))) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (log (/ 1 base))) (/ (cbrt 1) (/ 1 (atan2 im re))) (/ (sqrt 1) (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re))))) (/ (sqrt 1) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (sqrt 1) (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (sqrt 1) (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ (sqrt 1) (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (log base) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ -1 (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (log base) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ -1 1)) (/ (sqrt 1) (/ (log base) (atan2 im re))) (/ (sqrt 1) (/ (- 1) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (log base) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ (- 1) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (log base) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (- 1) 1)) (/ (sqrt 1) (/ (log base) (atan2 im re))) (/ (sqrt 1) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ 1 (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (sqrt 1) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (cbrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (cbrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) 1)) (/ (sqrt 1) (/ (cbrt (log (/ 1 base))) (atan2 im re))) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) 1)) (/ (sqrt 1) (/ (sqrt (log (/ 1 base))) (atan2 im re))) (/ (sqrt 1) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ 1 (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (log (/ 1 base)) (atan2 im re))) (/ (sqrt 1) (log (/ 1 base))) (/ (sqrt 1) (/ 1 (atan2 im re))) (/ 1 (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re))))) (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (/ 1 (/ -1 (sqrt (atan2 im re)))) (/ 1 (/ (log base) (sqrt (atan2 im re)))) (/ 1 (/ -1 1)) (/ 1 (/ (log base) (atan2 im re))) (/ 1 (/ (- 1) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (/ 1 (/ (- 1) (sqrt (atan2 im re)))) (/ 1 (/ (log base) (sqrt (atan2 im re)))) (/ 1 (/ (- 1) 1)) (/ 1 (/ (log base) (atan2 im re))) (/ 1 (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ 1 (/ 1 (sqrt (atan2 im re)))) (/ 1 (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ 1 (/ 1 1)) (/ 1 (/ (log (/ 1 base)) (atan2 im re))) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (cbrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re)))) (/ 1 (/ (cbrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) 1)) (/ 1 (/ (cbrt (log (/ 1 base))) (atan2 im re))) (/ 1 (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (sqrt (log (/ 1 base))) (cbrt (atan2 im re)))) (/ 1 (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log (/ 1 base))) 1)) (/ 1 (/ (sqrt (log (/ 1 base))) (atan2 im re))) (/ 1 (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (log (/ 1 base)) (cbrt (atan2 im re)))) (/ 1 (/ 1 (sqrt (atan2 im re)))) (/ 1 (/ (log (/ 1 base)) (sqrt (atan2 im re)))) (/ 1 (/ 1 1)) (/ 1 (/ (log (/ 1 base)) (atan2 im re))) (/ 1 1) (/ 1 (/ (log (/ 1 base)) (atan2 im re))) (/ 1 (log (/ 1 base))) (/ 1 (/ 1 (atan2 im re))) (/ 1 (/ (log (/ 1 base)) (atan2 im re))) (/ (/ (log (/ 1 base)) (atan2 im re)) 1) (/ 1 (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re))))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ -1 (sqrt (atan2 im re)))) (/ 1 (/ -1 1)) (/ 1 (/ (- 1) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (- 1) (sqrt (atan2 im re)))) (/ 1 (/ (- 1) 1)) (/ 1 (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ 1 (sqrt (atan2 im re)))) (/ 1 (/ 1 1)) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) 1)) (/ 1 (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log (/ 1 base))) 1)) (/ 1 (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ 1 (sqrt (atan2 im re)))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (log (/ 1 base))) (/ (/ (log (/ 1 base)) (atan2 im re)) (cbrt 1)) (/ (/ (log (/ 1 base)) (atan2 im re)) (sqrt 1)) (/ (/ (log (/ 1 base)) (atan2 im re)) 1) (/ 1 (log (/ 1 base))) (* -1 (/ (log base) (atan2 im re))) (/ (log (/ 1 base)) (atan2 im re)) (/ (+ (log -1) (log (/ -1 base))) (atan2 im re)) (* -1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (+ (log -1) (log (/ -1 base)))) 1.251 * * [simplify]: iteration 0 : 423 enodes (cost 1449 ) 1.259 * * [simplify]: iteration 1 : 1800 enodes (cost 1277 ) 1.282 * * [simplify]: iteration 2 : 5001 enodes (cost 1138 ) 1.289 * [simplify]: Simplified to: (log (/ (log (/ 1 base)) (atan2 im re))) (log (/ (log (/ 1 base)) (atan2 im re))) (pow (/ 1 base) (/ 1 (atan2 im re))) (pow (/ (log (/ 1 base)) (atan2 im re)) 3) (* (cbrt (/ (log (/ 1 base)) (atan2 im re))) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ (log (/ 1 base)) (atan2 im re))) (pow (/ (log (/ 1 base)) (atan2 im re)) 3) (sqrt (/ (log (/ 1 base)) (atan2 im re))) (sqrt (/ (log (/ 1 base)) (atan2 im re))) (log base) (- (atan2 im re)) 0 (/ (log base) (atan2 im re)) (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (cbrt (atan2 im re))) (/ -1 (sqrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) -1 (/ (log base) (atan2 im re)) (/ -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (cbrt (atan2 im re))) (/ -1 (sqrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) -1 (/ (log base) (atan2 im re)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ 1 (sqrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) 1 (* -1 (/ (log base) (atan2 im re))) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (log (/ 1 base))) (cbrt (atan2 im re))) (/ (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (sqrt (atan2 im re))) (/ (cbrt (log (/ 1 base))) (sqrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base)))) (/ (cbrt (log (/ 1 base))) (atan2 im re)) (/ (sqrt (log (/ 1 base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (sqrt (log (/ 1 base))) (cbrt (atan2 im re))) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re))) (/ (sqrt (log (/ 1 base))) (sqrt (atan2 im re))) (sqrt (log (/ 1 base))) (/ (sqrt (log (/ 1 base))) (atan2 im re)) (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (cbrt (atan2 im re))) (/ 1 (sqrt (atan2 im re))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) 1 (* -1 (/ (log base) (atan2 im re))) (/ 1 (atan2 im re)) (/ (atan2 im re) (log (/ 1 base))) (/ (log base) (atan2 im re)) (/ (log (/ 1 base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log (/ 1 base)) (sqrt (atan2 im re))) (log (/ 1 base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (/ (atan2 im re) (log (/ 1 base))) -1 (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (log (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (exp (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (pow (/ (log (/ 1 base)) (atan2 im re)) 3)) (/ 1 (pow (/ (log (/ 1 base)) (atan2 im re)) 3)) (* (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re))))) (cbrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (pow (/ (log (/ 1 base)) (atan2 im re)) 3)) (sqrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) (sqrt (/ 1 (/ (log (/ 1 base)) (atan2 im re)))) -1 (/ (log base) (atan2 im re)) (/ (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* -1 (/ (cbrt (atan2 im re)) (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (cbrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (sqrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ 1 (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log (/ 1 base)))) (/ (cbrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ 1 (sqrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* -1 (/ (cbrt (atan2 im re)) (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) (* -1 (/ 1 (log base))) (atan2 im re) (/ (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* -1 (/ (cbrt (atan2 im re)) (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (cbrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 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re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (atan2 im re)) (log base)) (* -1 (sqrt (atan2 im re))) (/ (sqrt (atan2 im re)) (log base)) -1 (/ (atan2 im re) (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* -1 (/ (cbrt (atan2 im re)) (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (cbrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (sqrt (atan2 im re)) (cbrt (log (/ 1 base)))) (/ 1 (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (atan2 im re) (cbrt (log (/ 1 base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log (/ 1 base)))) (/ (cbrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ 1 (sqrt (log (/ 1 base)))) (/ (atan2 im re) (sqrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* -1 (/ (cbrt (atan2 im re)) (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) 1 (/ (atan2 im re) (log (/ 1 base))) (* -1 (/ 1 (log base))) (atan2 im re) (/ (atan2 im re) (log (/ 1 base))) (* -1 (/ (log base) (atan2 im re))) (/ (/ 1 (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (cbrt (/ (log (/ 1 base)) (atan2 im re)))) (/ 1 (sqrt (/ (log (/ 1 base)) (atan2 im re)))) (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (* -1 (sqrt (atan2 im re))) -1 (* -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (* -1 (sqrt (atan2 im re))) -1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (atan2 im re)) 1 (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (sqrt (atan2 im re)) (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ 1 (* (cbrt (log (/ 1 base))) (cbrt (log (/ 1 base))))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log (/ 1 base)))) (/ (sqrt (atan2 im re)) (sqrt (log (/ 1 base)))) (/ 1 (sqrt (log (/ 1 base)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (atan2 im re)) 1 1 (* -1 (/ 1 (log base))) (* -1 (/ (log base) (atan2 im re))) (* -1 (/ (log base) (atan2 im re))) (* -1 (/ (log base) (atan2 im re))) (* -1 (/ 1 (log base))) (* -1 (/ (log base) (atan2 im re))) (* -1 (/ (log base) (atan2 im re))) (/ (+ (log -1) (log (/ -1 base))) (atan2 im re)) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (log (/ 1 base))) (/ (atan2 im re) (+ (log -1) (log (/ -1 base)))) 1.290 * * * [progress]: adding candidates to table 1.502 * * [progress]: iteration 4 / 4 1.502 * * * [progress]: picking best candidate 1.531 * * * * [pick]: Picked # 1.531 * * * [progress]: localizing error 1.541 * * * [progress]: generating rewritten candidates 1.541 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.549 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 1.555 * * * [progress]: generating series expansions 1.555 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.555 * [approximate]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in (base im re) around 0 1.555 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in re 1.555 * [taylor]: Taking taylor expansion of -1 in re 1.555 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.555 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.555 * [taylor]: Taking taylor expansion of (log base) in re 1.555 * [taylor]: Taking taylor expansion of base in re 1.555 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in im 1.555 * [taylor]: Taking taylor expansion of -1 in im 1.555 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.555 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.555 * [taylor]: Taking taylor expansion of (log base) in im 1.555 * [taylor]: Taking taylor expansion of base in im 1.555 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in base 1.555 * [taylor]: Taking taylor expansion of -1 in base 1.555 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.555 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.555 * [taylor]: Taking taylor expansion of (log base) in base 1.555 * [taylor]: Taking taylor expansion of base in base 1.557 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in base 1.557 * [taylor]: Taking taylor expansion of -1 in base 1.557 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.557 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.557 * [taylor]: Taking taylor expansion of (log base) in base 1.557 * [taylor]: Taking taylor expansion of base in base 1.558 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in im 1.558 * [taylor]: Taking taylor expansion of -1 in im 1.558 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.558 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.558 * [taylor]: Taking taylor expansion of (log base) in im 1.558 * [taylor]: Taking taylor expansion of base in im 1.558 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 im re) (log base))) in re 1.558 * [taylor]: Taking taylor expansion of -1 in re 1.558 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.558 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.558 * [taylor]: Taking taylor expansion of (log base) in re 1.558 * [taylor]: Taking taylor expansion of base in re 1.560 * [taylor]: Taking taylor expansion of 0 in im 1.560 * [taylor]: Taking taylor expansion of 0 in re 1.561 * [taylor]: Taking taylor expansion of 0 in re 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [taylor]: Taking taylor expansion of 0 in re 1.566 * [taylor]: Taking taylor expansion of 0 in re 1.568 * [taylor]: Taking taylor expansion of 0 in re 1.568 * [approximate]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base)))) in (base im re) around 0 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base)))) in re 1.568 * [taylor]: Taking taylor expansion of -1 in re 1.568 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.568 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.568 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.568 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.568 * [taylor]: Taking taylor expansion of base in re 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base)))) in im 1.568 * [taylor]: Taking taylor expansion of -1 in im 1.568 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.568 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.568 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.568 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.568 * [taylor]: Taking taylor expansion of base in im 1.568 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base)))) in base 1.568 * [taylor]: Taking taylor expansion of -1 in base 1.568 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.568 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.569 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.569 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.569 * [taylor]: Taking taylor expansion of base in base 1.570 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base)))) in base 1.570 * [taylor]: Taking taylor expansion of -1 in base 1.570 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.570 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.570 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.570 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.570 * [taylor]: Taking taylor expansion of base in base 1.571 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 1.571 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.571 * [taylor]: Taking taylor expansion of (log base) in im 1.571 * [taylor]: Taking taylor expansion of base in im 1.571 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 1.571 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.571 * [taylor]: Taking taylor expansion of (log base) in re 1.571 * [taylor]: Taking taylor expansion of base in re 1.574 * [taylor]: Taking taylor expansion of 0 in im 1.574 * [taylor]: Taking taylor expansion of 0 in re 1.575 * [taylor]: Taking taylor expansion of 0 in re 1.579 * [taylor]: Taking taylor expansion of 0 in im 1.579 * [taylor]: Taking taylor expansion of 0 in re 1.579 * [taylor]: Taking taylor expansion of 0 in re 1.581 * [taylor]: Taking taylor expansion of 0 in re 1.581 * [approximate]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base)))) in (base im re) around 0 1.581 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base)))) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.581 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.581 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.581 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.581 * [taylor]: Taking taylor expansion of -1 in re 1.581 * [taylor]: Taking taylor expansion of base in re 1.581 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base)))) in im 1.581 * [taylor]: Taking taylor expansion of -1 in im 1.581 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.581 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.581 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.581 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.581 * [taylor]: Taking taylor expansion of -1 in im 1.581 * [taylor]: Taking taylor expansion of base in im 1.582 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base)))) in base 1.582 * [taylor]: Taking taylor expansion of -1 in base 1.582 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.582 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.582 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.582 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.582 * [taylor]: Taking taylor expansion of -1 in base 1.582 * [taylor]: Taking taylor expansion of base in base 1.584 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base)))) in base 1.584 * [taylor]: Taking taylor expansion of -1 in base 1.584 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.584 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.584 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.584 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.584 * [taylor]: Taking taylor expansion of -1 in base 1.584 * [taylor]: Taking taylor expansion of base in base 1.586 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base)))) in im 1.586 * [taylor]: Taking taylor expansion of -1 in im 1.586 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in im 1.586 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.586 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 1.586 * [taylor]: Taking taylor expansion of (log -1) in im 1.586 * [taylor]: Taking taylor expansion of -1 in im 1.587 * [taylor]: Taking taylor expansion of (log base) in im 1.587 * [taylor]: Taking taylor expansion of base in im 1.588 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base)))) in re 1.588 * [taylor]: Taking taylor expansion of -1 in re 1.588 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in re 1.588 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.588 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 1.588 * [taylor]: Taking taylor expansion of (log -1) in re 1.588 * [taylor]: Taking taylor expansion of -1 in re 1.588 * [taylor]: Taking taylor expansion of (log base) in re 1.588 * [taylor]: Taking taylor expansion of base in re 1.598 * [taylor]: Taking taylor expansion of 0 in im 1.598 * [taylor]: Taking taylor expansion of 0 in re 1.602 * [taylor]: Taking taylor expansion of 0 in re 1.611 * [taylor]: Taking taylor expansion of 0 in im 1.611 * [taylor]: Taking taylor expansion of 0 in re 1.611 * [taylor]: Taking taylor expansion of 0 in re 1.616 * [taylor]: Taking taylor expansion of 0 in re 1.617 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 1.617 * [approximate]: Taking taylor expansion of (/ 1 (log base)) in (base) around 0 1.617 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 1.617 * [taylor]: Taking taylor expansion of (log base) in base 1.617 * [taylor]: Taking taylor expansion of base in base 1.618 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 1.618 * [taylor]: Taking taylor expansion of (log base) in base 1.618 * [taylor]: Taking taylor expansion of base in base 1.658 * [approximate]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in (base) around 0 1.658 * [taylor]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in base 1.658 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.658 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.658 * [taylor]: Taking taylor expansion of base in base 1.659 * [taylor]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in base 1.659 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.659 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.659 * [taylor]: Taking taylor expansion of base in base 1.707 * [approximate]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in (base) around 0 1.708 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 1.708 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.708 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.708 * [taylor]: Taking taylor expansion of -1 in base 1.708 * [taylor]: Taking taylor expansion of base in base 1.709 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 1.710 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.710 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.710 * [taylor]: Taking taylor expansion of -1 in base 1.710 * [taylor]: Taking taylor expansion of base in base 1.772 * * * [progress]: simplifying candidates 1.773 * [simplify]: Simplifying using # : (* (* -1 (/ 1 (log base))) (atan2 im re)) (* (* -1 (/ 1 (log base))) (atan2 im re)) (+ (+ (log -1) (- (log (log base)))) (log (atan2 im re))) (+ (+ (log -1) (- 0 (log (log base)))) (log (atan2 im re))) (+ (+ (log -1) (- (log 1) (log (log base)))) (log (atan2 im re))) (+ (+ (log -1) (log (/ 1 (log base)))) (log (atan2 im re))) (+ (log (* -1 (/ 1 (log base)))) (log (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (exp (* (* -1 (/ 1 (log base))) (atan2 im re))) (* (* (* (* -1 -1) -1) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))) (* (* (atan2 im re) (atan2 im re)) (atan2 im re))) (* (* (* (* -1 -1) -1) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))) (* (* (atan2 im re) (atan2 im re)) (atan2 im re))) (* (* (* (* -1 (/ 1 (log base))) (* -1 (/ 1 (log base)))) (* -1 (/ 1 (log base)))) (* (* (atan2 im re) (atan2 im re)) (atan2 im re))) (* (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re)))) (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (* (* (* (* -1 (/ 1 (log base))) (atan2 im re)) (* (* -1 (/ 1 (log base))) (atan2 im re))) (* (* -1 (/ 1 (log base))) (atan2 im re))) (sqrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (sqrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (* (/ 1 (log base)) (atan2 im re)) (* (* -1 (/ 1 (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (* (* -1 (/ 1 (log base))) (sqrt (atan2 im re))) (* (* -1 (/ 1 (log base))) 1) (* (/ 1 (log base)) (atan2 im re)) (* -1 (atan2 im re)) (* (* -1 1) (atan2 im re)) (- 1) (- (log (log base))) (- 0 (log (log base))) (- (log 1) (log (log base))) (log (/ 1 (log base))) (exp (/ 1 (log base))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))) (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base)))) (cbrt (/ 1 (log base))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base))) (- 1) (- (log base)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (log base)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt 1) (cbrt (log base))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (log base))) (/ (cbrt 1) (sqrt (log base))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (log base)) (/ (sqrt 1) 1) (/ (sqrt 1) (log base)) (/ (sqrt 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt 1) (cbrt (log base))) (/ (sqrt 1) (sqrt (log base))) (/ (sqrt 1) (sqrt (log base))) (/ (sqrt 1) 1) (/ (sqrt 1) (log base)) (/ 1 1) (/ 1 (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (cbrt (log base))) (/ 1 (sqrt (log base))) (/ 1 (sqrt (log base))) (/ 1 1) (/ 1 (log base)) (/ 1 (log base)) (/ (log base) 1) (/ 1 1) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (sqrt (log base))) (/ 1 1) (/ (log base) (cbrt 1)) (/ (log base) (sqrt 1)) (/ (log base) 1) (* -1 (/ (atan2 im re) (log base))) (/ (atan2 im re) (log (/ 1 base))) (* -1 (/ (atan2 im re) (- (log -1) (log (/ -1 base))))) (/ 1 (log base)) (/ -1 (log (/ 1 base))) (/ 1 (- (log -1) (log (/ -1 base)))) 1.778 * * [simplify]: iteration 0 : 238 enodes (cost 339 ) 1.782 * * [simplify]: iteration 1 : 1089 enodes (cost 289 ) 1.805 * * [simplify]: iteration 2 : 4749 enodes (cost 264 ) 1.859 * * [simplify]: iteration 3 : 5002 enodes (cost 254 ) 1.861 * [simplify]: Simplified to: (* (atan2 im re) (/ -1 (log base))) (* (atan2 im re) (/ -1 (log base))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (log (* (* -1 (/ 1 (log base))) (atan2 im re))) (pow (exp (/ -1 (log base))) (atan2 im re)) (pow (* (atan2 im re) (/ -1 (log base))) 3) (pow (* (atan2 im re) (/ -1 (log base))) 3) (pow (* (atan2 im re) (/ -1 (log base))) 3) (* (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re)))) (cbrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (pow (* (atan2 im re) (/ -1 (log base))) 3) (sqrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (sqrt (* (* -1 (/ 1 (log base))) (atan2 im re))) (/ (atan2 im re) (log base)) (* (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ -1 (log base))) (* (sqrt (atan2 im re)) (/ -1 (log base))) (/ -1 (log base)) (/ (atan2 im re) (log base)) (* -1 (atan2 im re)) (* -1 (atan2 im re)) -1 (log (/ 1 (log base))) (log (/ 1 (log base))) (log (/ 1 (log base))) (log (/ 1 (log base))) (exp (/ 1 (log base))) (/ 1 (pow (log base) 3)) (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base)))) (cbrt (/ 1 (log base))) (/ 1 (pow (log base) 3)) (sqrt (/ 1 (log base))) (sqrt (/ 1 (log base))) -1 (log (/ 1 base)) 1 (/ 1 (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (cbrt (log base))) (/ 1 (sqrt (log base))) (/ 1 (sqrt (log base))) 1 (/ 1 (log base)) 1 (/ 1 (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (cbrt (log base))) (/ 1 (sqrt (log base))) (/ 1 (sqrt (log base))) 1 (/ 1 (log base)) 1 (/ 1 (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (cbrt (log base))) (/ 1 (sqrt (log base))) (/ 1 (sqrt (log base))) 1 (/ 1 (log base)) (/ 1 (log base)) (log base) 1 (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (sqrt (log base))) 1 (log base) (log base) (log base) (* (atan2 im re) (/ -1 (log base))) (* (atan2 im re) (/ -1 (log base))) (* (atan2 im re) (/ -1 (log base))) (/ 1 (log base)) (/ 1 (log base)) (/ 1 (log base)) 1.861 * * * [progress]: adding candidates to table 1.957 * [progress]: [Phase 3 of 3] Extracting. 1.958 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.961 * * * [regime-changes]: Trying 4 branch expressions: ((log base) base im re) 1.961 * * * * [regimes]: Trying to branch on (log base) from (# # # # # # # # # # # #) 2.008 * * * * [regimes]: Trying to branch on (log base) from (# # # #) 2.032 * * * * [regimes]: Trying to branch on base from (# # # # # # # # # # # #) 2.076 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 2.121 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 2.170 * * * [regime]: Found split indices: #