6.558 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.050 * [simplify]: Simplifying using # : (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.052 * * [simplify]: iteration 0 : 27 enodes (cost 16 ) 0.053 * * [simplify]: iteration 1 : 44 enodes (cost 16 ) 0.055 * * [simplify]: iteration 2 : 56 enodes (cost 16 ) 0.056 * * [simplify]: iteration 3 : 74 enodes (cost 16 ) 0.058 * * [simplify]: iteration 4 : 80 enodes (cost 16 ) 0.060 * * [simplify]: iteration 5 : 80 enodes (cost 16 ) 0.060 * [simplify]: Simplified to: (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.060 * * [progress]: iteration 1 / 4 0.060 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.082 * * * [progress]: generating rewritten candidates 0.082 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 0.089 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.094 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.098 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.111 * [taylor]: Taking taylor expansion of re in im 0.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.112 * [taylor]: Taking taylor expansion of im in re 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.115 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.115 * [taylor]: Taking taylor expansion of 1/2 in im 0.115 * [taylor]: Taking taylor expansion of im in im 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.117 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.118 * [taylor]: Taking taylor expansion of im in im 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.118 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.118 * [taylor]: Taking taylor expansion of re in im 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.120 * [taylor]: Taking taylor expansion of im in re 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.125 * [taylor]: Taking taylor expansion of 1 in im 0.125 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.127 * [taylor]: Taking taylor expansion of 1/2 in im 0.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.127 * [taylor]: Taking taylor expansion of im in im 0.130 * [taylor]: Taking taylor expansion of 0 in im 0.132 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.132 * [taylor]: Taking taylor expansion of im in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.139 * [taylor]: Taking taylor expansion of 1 in im 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.141 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of 1/2 in im 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.142 * [taylor]: Taking taylor expansion of im in im 0.145 * [taylor]: Taking taylor expansion of 0 in im 0.146 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.146 * [approximate]: Taking taylor expansion of (pow (log base) 2) in (base) around 0 0.146 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.146 * [taylor]: Taking taylor expansion of (log base) in base 0.146 * [taylor]: Taking taylor expansion of base in base 0.146 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.146 * [taylor]: Taking taylor expansion of (log base) in base 0.147 * [taylor]: Taking taylor expansion of base in base 0.192 * [approximate]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in (base) around 0 0.192 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.192 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.192 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.192 * [taylor]: Taking taylor expansion of base in base 0.193 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.193 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.193 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.193 * [taylor]: Taking taylor expansion of base in base 0.236 * [approximate]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in (base) around 0 0.236 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.236 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.236 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.236 * [taylor]: Taking taylor expansion of -1 in base 0.236 * [taylor]: Taking taylor expansion of base in base 0.237 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.237 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.237 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.237 * [taylor]: Taking taylor expansion of -1 in base 0.237 * [taylor]: Taking taylor expansion of base in base 0.295 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.295 * [approximate]: Taking taylor expansion of (* (atan2 im re) (log base)) in (im re base) around 0 0.295 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.295 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.296 * [taylor]: Taking taylor expansion of (log base) in base 0.296 * [taylor]: Taking taylor expansion of base in base 0.296 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.296 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.296 * [taylor]: Taking taylor expansion of (log base) in re 0.296 * [taylor]: Taking taylor expansion of base in re 0.296 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.296 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.296 * [taylor]: Taking taylor expansion of (log base) in im 0.296 * [taylor]: Taking taylor expansion of base in im 0.296 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.296 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.296 * [taylor]: Taking taylor expansion of (log base) in im 0.297 * [taylor]: Taking taylor expansion of base in im 0.297 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.297 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.297 * [taylor]: Taking taylor expansion of (log base) in re 0.297 * [taylor]: Taking taylor expansion of base in re 0.297 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.297 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.297 * [taylor]: Taking taylor expansion of (log base) in base 0.297 * [taylor]: Taking taylor expansion of base in base 0.298 * [taylor]: Taking taylor expansion of 0 in re 0.298 * [taylor]: Taking taylor expansion of 0 in base 0.299 * [taylor]: Taking taylor expansion of 0 in base 0.301 * [taylor]: Taking taylor expansion of 0 in re 0.301 * [taylor]: Taking taylor expansion of 0 in base 0.301 * [taylor]: Taking taylor expansion of 0 in base 0.302 * [taylor]: Taking taylor expansion of 0 in base 0.303 * [approximate]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.303 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.303 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.303 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.303 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.303 * [taylor]: Taking taylor expansion of base in base 0.303 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.303 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.303 * [taylor]: Taking taylor expansion of base in re 0.303 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.304 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.304 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.304 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.304 * [taylor]: Taking taylor expansion of base in im 0.304 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.304 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.304 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.304 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.304 * [taylor]: Taking taylor expansion of base in im 0.304 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.304 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.304 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.304 * [taylor]: Taking taylor expansion of base in re 0.304 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.304 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.304 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.304 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.304 * [taylor]: Taking taylor expansion of base in base 0.306 * [taylor]: Taking taylor expansion of 0 in re 0.306 * [taylor]: Taking taylor expansion of 0 in base 0.307 * [taylor]: Taking taylor expansion of 0 in base 0.310 * [taylor]: Taking taylor expansion of 0 in re 0.310 * [taylor]: Taking taylor expansion of 0 in base 0.310 * [taylor]: Taking taylor expansion of 0 in base 0.311 * [taylor]: Taking taylor expansion of 0 in base 0.311 * [approximate]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (im re base) around 0 0.311 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 0.311 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.311 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.311 * [taylor]: Taking taylor expansion of -1 in base 0.311 * [taylor]: Taking taylor expansion of base in base 0.312 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.312 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 0.312 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.312 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.312 * [taylor]: Taking taylor expansion of -1 in re 0.312 * [taylor]: Taking taylor expansion of base in re 0.312 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.312 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.312 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.312 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.312 * [taylor]: Taking taylor expansion of -1 in im 0.312 * [taylor]: Taking taylor expansion of base in im 0.312 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.312 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.312 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.312 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.312 * [taylor]: Taking taylor expansion of -1 in im 0.312 * [taylor]: Taking taylor expansion of 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)) (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 -1 in re 0.313 * [taylor]: Taking taylor expansion of 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)) (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 -1 in base 0.313 * [taylor]: Taking taylor expansion of base in base 0.314 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.316 * [taylor]: Taking taylor expansion of 0 in re 0.316 * [taylor]: Taking taylor expansion of 0 in base 0.316 * [taylor]: Taking taylor expansion of 0 in base 0.320 * [taylor]: Taking taylor expansion of 0 in re 0.320 * [taylor]: Taking taylor expansion of 0 in base 0.320 * [taylor]: Taking taylor expansion of 0 in base 0.321 * [taylor]: Taking taylor expansion of 0 in base 0.322 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.322 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 0.323 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.323 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.323 * [taylor]: Taking taylor expansion of (log base) in base 0.323 * [taylor]: Taking taylor expansion of base in base 0.323 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.323 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.323 * [taylor]: Taking taylor expansion of (log base) in re 0.323 * [taylor]: Taking taylor expansion of base in re 0.324 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.324 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.324 * [taylor]: Taking taylor expansion of (log base) in im 0.324 * [taylor]: Taking taylor expansion of base in im 0.324 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.324 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.324 * [taylor]: Taking taylor expansion of (log base) in im 0.324 * [taylor]: Taking taylor expansion of base in im 0.324 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.324 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.324 * [taylor]: Taking taylor expansion of (log base) in re 0.324 * [taylor]: Taking taylor expansion of base in re 0.324 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.324 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.324 * [taylor]: Taking taylor expansion of (log base) in base 0.324 * [taylor]: Taking taylor expansion of base in base 0.326 * [taylor]: Taking taylor expansion of 0 in re 0.326 * [taylor]: Taking taylor expansion of 0 in base 0.326 * [taylor]: Taking taylor expansion of 0 in base 0.329 * [taylor]: Taking taylor expansion of 0 in re 0.329 * [taylor]: Taking taylor expansion of 0 in base 0.329 * [taylor]: Taking taylor expansion of 0 in base 0.330 * [taylor]: Taking taylor expansion of 0 in base 0.336 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.336 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.336 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.336 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.336 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.336 * [taylor]: Taking taylor expansion of base in base 0.338 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.338 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.338 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.338 * [taylor]: Taking taylor expansion of base in re 0.338 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.338 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.338 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.338 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.338 * [taylor]: Taking taylor expansion of base in im 0.338 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.338 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.339 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.339 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.339 * [taylor]: Taking taylor expansion of base in im 0.339 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.339 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.339 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.339 * [taylor]: Taking taylor expansion of base in re 0.339 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.339 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.339 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.339 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.339 * [taylor]: Taking taylor expansion of base in base 0.341 * [taylor]: Taking taylor expansion of 0 in re 0.341 * [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 0.347 * [taylor]: Taking taylor expansion of 0 in base 0.348 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 0.348 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.348 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.348 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.348 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.348 * [taylor]: Taking taylor expansion of -1 in base 0.348 * [taylor]: Taking taylor expansion of base in base 0.350 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.350 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.350 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.350 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.350 * [taylor]: Taking taylor expansion of -1 in re 0.350 * [taylor]: Taking taylor expansion of base in re 0.350 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.350 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.350 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.350 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.350 * [taylor]: Taking taylor expansion of -1 in im 0.350 * [taylor]: Taking taylor expansion of base in im 0.351 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.351 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.351 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.351 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.351 * [taylor]: Taking taylor expansion of -1 in im 0.351 * [taylor]: Taking taylor expansion of base in im 0.351 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.351 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.351 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.351 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.351 * [taylor]: Taking taylor expansion of -1 in re 0.351 * [taylor]: Taking taylor expansion of base in re 0.351 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.351 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.351 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.351 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.351 * [taylor]: Taking taylor expansion of -1 in base 0.351 * [taylor]: Taking taylor expansion of base in base 0.354 * [taylor]: Taking taylor expansion of 0 in re 0.354 * [taylor]: Taking taylor expansion of 0 in base 0.355 * [taylor]: Taking taylor expansion of 0 in base 0.360 * [taylor]: Taking taylor expansion of 0 in re 0.360 * [taylor]: Taking taylor expansion of 0 in base 0.360 * [taylor]: Taking taylor expansion of 0 in base 0.361 * [taylor]: Taking taylor expansion of 0 in base 0.362 * * * [progress]: simplifying candidates 0.364 * [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) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (+ 1 1) (* (log base) (log base)) (+ 1 1) (+ (log (log base)) (log (log base))) (log (* (log base) (log base))) (exp (* (log base) (log base))) (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))) (* (cbrt (* (log base) (log base))) (cbrt (* (log base) (log base)))) (cbrt (* (log base) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))) (sqrt (* (log base) (log base))) (sqrt (* (log base) (log base))) (* 1 1) (* (log base) (log base)) (* 1 1) (* (log base) (log base)) (* (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log base)) (cbrt (log base)))) (* (cbrt (log base)) (cbrt (log base))) (* (sqrt (log base)) (sqrt (log base))) (* (sqrt (log base)) (sqrt (log base))) (* 1 1) (* (log base) (log base)) (* 1 1) (* (log base) (log base)) (* (sqrt (log base)) (sqrt (log base))) (* (sqrt (log base)) (sqrt (log base))) (* 2 1) (* (log base) (log (* (cbrt base) (cbrt base)))) (* (log base) (log (cbrt base))) (* (log base) (log (sqrt base))) (* (log base) (log (sqrt base))) (* (log base) (log 1)) (* (log base) (log base)) (* (log (* (cbrt base) (cbrt base))) (log base)) (* (log (cbrt base)) (log base)) (* (log (sqrt base)) (log base)) (* (log (sqrt base)) (log base)) (* (log 1) (log base)) (* (log base) (log base)) (* (log base) 1) (* (log base) (* (cbrt (log base)) (cbrt (log base)))) (* (log base) (sqrt (log base))) (* (log base) 1) (* (log base) (log base)) (* (cbrt (log base)) (log base)) (* (sqrt (log base)) (log base)) (* (log base) (log base)) (* (atan2 im re) (log base)) (+ (log (atan2 im re)) (log (log base))) (log (* (atan2 im re) (log base))) (exp (* (atan2 im re) (log base))) (* (* (* (atan2 im re) (atan2 im re)) (atan2 im re)) (* (* (log base) (log base)) (log base))) (* (cbrt (* (atan2 im re) (log base))) (cbrt (* (atan2 im re) (log base)))) (cbrt (* (atan2 im re) (log base))) (* (* (* (atan2 im re) (log base)) (* (atan2 im re) (log base))) (* (atan2 im re) (log base))) (sqrt (* (atan2 im re) (log base))) (sqrt (* (atan2 im re) (log base))) (* (sqrt (atan2 im re)) (sqrt (log base))) (* (sqrt (atan2 im re)) (sqrt (log base))) (* (atan2 im re) (log (* (cbrt base) (cbrt base)))) (* (atan2 im re) (log (cbrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log 1)) (* (atan2 im re) (log base)) (* (log (* (cbrt base) (cbrt base))) (atan2 im re)) (* (log (cbrt base)) (atan2 im re)) (* (log (sqrt base)) (atan2 im re)) (* (log (sqrt base)) (atan2 im re)) (* (log 1) (atan2 im re)) (* (log base) (atan2 im re)) (* (atan2 im re) 1) (* (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (* (atan2 im re) (sqrt (log base))) (* (atan2 im re) 1) (* (cbrt (atan2 im re)) (log base)) (* (sqrt (atan2 im re)) (log base)) (* (atan2 im re) (log base)) (- (log (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (log (+ (* (log base) (log base)) (* 0.0 0.0)))) (log (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (exp (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (* (* (- (* (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))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (* (* (+ (* (log base) (log base)) (* 0.0 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) (+ (* (log base) (log base)) (* 0.0 0.0)))) (* (cbrt (/ (- (* (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)) (+ (* (log base) (log base)) (* 0.0 0.0))))) (cbrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (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))) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (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)))) (sqrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (sqrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (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))) (/ (* (atan2 im re) (log base)) (+ (* (log base) (log base)) (* 0.0 0.0))) (/ (* (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))) (cbrt (- (* (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))))) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (* (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (* (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) 1) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (+ (* (log base) (log base)) (* 0.0 0.0))) (/ (sqrt (- (* (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))))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) 1) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (+ (* (log base) (log base)) (* 0.0 0.0))) (/ 1 (* (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)) (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 1) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) (/ 1 (+ (* (log base) (log base)) (* 0.0 0.0))) (/ (+ (* (log base) (log base)) (* 0.0 0.0)) (- (* (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)) 1) (/ (+ (* (log base) (log base)) (* 0.0 0.0)) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (+ (* (log base) (log base)) (* 0.0 0.0)) (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (+ (* (log base) (log base)) (* 0.0 0.0)) (- (* (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)) (- (* (* (log base) (log base)) (* (log base) (log base))) (* (* 0.0 0.0) (* 0.0 0.0)))) (* (+ (* (log base) (log base)) (* 0.0 0.0)) (+ (* (* (atan2 im re) (log base)) (* (atan2 im re) (log base))) (+ (* (* (log (sqrt (+ (* re re) (* im im)))) 0.0) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (* (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im 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)))) 0.371 * * [simplify]: iteration 0 : 444 enodes (cost 1213 ) 0.380 * * [simplify]: iteration 1 : 1816 enodes (cost 1100 ) 0.418 * * [simplify]: iteration 2 : 5001 enodes (cost 1070 ) 0.424 * [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 im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 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) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 2 (pow (log base) 2) 2 (* 2 (log (log base))) (* 2 (log (log base))) (pow base (log base)) (pow (log base) 6) (* (cbrt (* (log base) (log base))) (cbrt (* (log base) (log base)))) (cbrt (* (log base) (log base))) (pow (log base) 6) (fabs (log base)) (fabs (log base)) 1 (pow (log base) 2) 1 (pow (log base) 2) (pow (cbrt (log base)) 4) (* (cbrt (log base)) (cbrt (log base))) (log base) (log base) 1 (pow (log base) 2) 1 (pow (log base) 2) (log base) (log base) 2 (* (log base) (* 2 (log (cbrt base)))) (* (log base) (log (cbrt base))) (* (log base) (log (sqrt base))) (* (log base) (log (sqrt base))) 0 (pow (log base) 2) (* (log base) (* 2 (log (cbrt base)))) (* (log base) (log (cbrt base))) (* (log base) (log (sqrt base))) (* (log base) (log (sqrt base))) 0 (pow (log base) 2) (log base) (* (pow (cbrt (log base)) 4) (cbrt (log base))) (pow (sqrt (log base)) 3) (log base) (pow (log base) 2) (pow (cbrt (log base)) 4) (pow (sqrt (log base)) 3) (pow (log base) 2) (* (atan2 im re) (log base)) (log (* (atan2 im re) (log base))) (log (* (atan2 im re) (log base))) (pow base (atan2 im re)) (pow (* (atan2 im re) (log base)) 3) (* (cbrt (* (atan2 im re) (log base))) (cbrt (* (atan2 im re) (log base)))) (cbrt (* (atan2 im re) (log base))) (pow (* (atan2 im re) (log base)) 3) (sqrt (* (atan2 im re) (log base))) (sqrt (* (atan2 im re) (log base))) (* (sqrt (atan2 im re)) (sqrt (log base))) (* (sqrt (atan2 im re)) (sqrt (log base))) (* (atan2 im re) (* 2 (log (cbrt base)))) (* (atan2 im re) (log (cbrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log (sqrt base))) 0 (* (atan2 im re) (log base)) (* (atan2 im re) (* 2 (log (cbrt base)))) (* (atan2 im re) (log (cbrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log (sqrt base))) 0 (* (atan2 im re) (log base)) (atan2 im re) (* (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (* (atan2 im re) (sqrt (log base))) (atan2 im re) (* (cbrt (atan2 im re)) (log base)) (* (sqrt (atan2 im re)) (log base)) (* (atan2 im re) (log base)) (log (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (log (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (exp (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (pow (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* 0.0 0.0) (pow (log base) 2))) 3) (* (cbrt (/ (- (* (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)) (+ (* (log base) (log base)) (* 0.0 0.0))))) (cbrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (pow (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* 0.0 0.0) (pow (log base) 2))) 3) (sqrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (sqrt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0)))) (- (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (- (+ (pow (log base) 2) (* 0.0 0.0))) (/ (log base) (/ (+ (* 0.0 0.0) (pow (log base) 2)) (atan2 im re))) (/ 0.0 (/ (+ (* 0.0 0.0) (pow (log base) 2)) (log (sqrt (+ (* re re) (* im im)))))) (/ (* (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (- (* (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))))) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (* (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (* (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (cbrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (+ (* (log base) (log base)) (* 0.0 0.0))) (/ (sqrt (- (* (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))))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (cbrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (sqrt (+ (* (log base) (log base)) (* 0.0 0.0)))) (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (/ (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (+ (* 0.0 0.0) (pow (log base) 2))) (/ 1 (* (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)) (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)) 0.424 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 2 / 4 0.799 * * * [progress]: picking best candidate 0.845 * * * * [pick]: Picked # 0.845 * * * [progress]: localizing error 0.851 * * * [progress]: generating rewritten candidates 0.851 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.855 * * * [progress]: generating series expansions 0.855 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.856 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 0.856 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.856 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.856 * [taylor]: Taking taylor expansion of (log base) in base 0.856 * [taylor]: Taking taylor expansion of base in base 0.857 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.857 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.857 * [taylor]: Taking taylor expansion of (log base) in re 0.857 * [taylor]: Taking taylor expansion of base in re 0.857 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.857 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.857 * [taylor]: Taking taylor expansion of (log base) in im 0.857 * [taylor]: Taking taylor expansion of base in im 0.857 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.857 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.857 * [taylor]: Taking taylor expansion of (log base) in im 0.857 * [taylor]: Taking taylor expansion of base in im 0.857 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.857 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.858 * [taylor]: Taking taylor expansion of (log base) in re 0.858 * [taylor]: Taking taylor expansion of base in re 0.858 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.858 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.858 * [taylor]: Taking taylor expansion of (log base) in base 0.858 * [taylor]: Taking taylor expansion of base in base 0.859 * [taylor]: Taking taylor expansion of 0 in re 0.859 * [taylor]: Taking taylor expansion of 0 in base 0.860 * [taylor]: Taking taylor expansion of 0 in base 0.862 * [taylor]: Taking taylor expansion of 0 in re 0.863 * [taylor]: Taking taylor expansion of 0 in base 0.863 * [taylor]: Taking taylor expansion of 0 in base 0.864 * [taylor]: Taking taylor expansion of 0 in base 0.864 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.864 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.864 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.864 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.864 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.864 * [taylor]: Taking taylor expansion of base in base 0.865 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.865 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.865 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.865 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.865 * [taylor]: Taking taylor expansion of base in re 0.866 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.866 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.866 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.866 * [taylor]: Taking taylor expansion of base in im 0.866 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.866 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.866 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.866 * [taylor]: Taking taylor expansion of base in im 0.866 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.866 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.866 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.866 * [taylor]: Taking taylor expansion of base in re 0.866 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.866 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.866 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.866 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.866 * [taylor]: Taking taylor expansion of base in base 0.868 * [taylor]: Taking taylor expansion of 0 in re 0.868 * [taylor]: Taking taylor expansion of 0 in base 0.869 * [taylor]: Taking taylor expansion of 0 in base 0.873 * [taylor]: Taking taylor expansion of 0 in re 0.873 * [taylor]: Taking taylor expansion of 0 in base 0.873 * [taylor]: Taking taylor expansion of 0 in base 0.874 * [taylor]: Taking taylor expansion of 0 in base 0.874 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 0.874 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.874 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.874 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.874 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.875 * [taylor]: Taking taylor expansion of -1 in base 0.875 * [taylor]: Taking taylor expansion of base in base 0.876 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.876 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.877 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.877 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.877 * [taylor]: Taking taylor expansion of -1 in re 0.877 * [taylor]: Taking taylor expansion of base in re 0.877 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.877 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.877 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.877 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.877 * [taylor]: Taking taylor expansion of -1 in im 0.877 * [taylor]: Taking taylor expansion of base in im 0.877 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.877 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.877 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.877 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.877 * [taylor]: Taking taylor expansion of -1 in im 0.877 * [taylor]: Taking taylor expansion of base in im 0.877 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.877 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.877 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.877 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.877 * [taylor]: Taking taylor expansion of -1 in re 0.877 * [taylor]: Taking taylor expansion of base in re 0.878 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.878 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.878 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.878 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.878 * [taylor]: Taking taylor expansion of -1 in base 0.878 * [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 0.891 * [taylor]: Taking taylor expansion of 0 in re 0.891 * [taylor]: Taking taylor expansion of 0 in base 0.891 * [taylor]: Taking taylor expansion of 0 in base 0.892 * [taylor]: Taking taylor expansion of 0 in base 0.893 * * * [progress]: simplifying candidates 0.893 * [simplify]: Simplifying using # : (- (log (atan2 im re)) (log (log base))) (log (/ (atan2 im re) (log base))) (exp (/ (atan2 im re) (log base))) (/ (* (* (atan2 im re) (atan2 im re)) (atan2 im re)) (* (* (log base) (log base)) (log base))) (* (cbrt (/ (atan2 im re) (log base))) (cbrt (/ (atan2 im re) (log base)))) (cbrt (/ (atan2 im re) (log base))) (* (* (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base))) (/ (atan2 im re) (log base))) (sqrt (/ (atan2 im re) (log base))) (sqrt (/ (atan2 im re) (log base))) (- (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 (log base)) (cbrt (log base)))) (/ (cbrt (atan2 im re)) (cbrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (cbrt (atan2 im re)) (sqrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) 1) (/ (cbrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) 1) (/ (sqrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (cbrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) 1) (/ (sqrt (atan2 im re)) (log base)) (/ 1 1) (/ (atan2 im re) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (/ 1 1) (/ (atan2 im re) (log base)) (/ 1 (log base)) (/ (log base) (atan2 im re)) (/ (atan2 im re) 1) (/ (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (sqrt (log base))) (/ (atan2 im re) 1) (/ (log base) (cbrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) (/ (log base) (atan2 im re)) (/ (atan2 im re) (log base)) (* -1 (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (- (log -1) (log (/ -1 base)))) 0.896 * * [simplify]: iteration 0 : 103 enodes (cost 207 ) 0.899 * * [simplify]: iteration 1 : 270 enodes (cost 193 ) 0.903 * * [simplify]: iteration 2 : 671 enodes (cost 192 ) 0.913 * * [simplify]: iteration 3 : 1907 enodes (cost 190 ) 0.943 * * [simplify]: iteration 4 : 5001 enodes (cost 188 ) 0.945 * [simplify]: Simplified to: (log (/ (atan2 im re) (log base))) (log (/ (atan2 im re) (log base))) (exp (/ (atan2 im re) (log base))) (pow (/ (atan2 im re) (log base)) 3) (* (cbrt (/ (atan2 im re) (log base))) (cbrt (/ (atan2 im re) (log base)))) (cbrt (/ (atan2 im re) (log base))) (pow (/ (atan2 im re) (log base)) 3) (sqrt (/ (atan2 im re) (log base))) (sqrt (/ (atan2 im re) (log base))) (* -1 (atan2 im re)) (log (/ 1 base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ (cbrt (atan2 im re)) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (atan2 im re)) (cbrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (cbrt (atan2 im re)) (sqrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ (cbrt (atan2 im re)) (log base)) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (cbrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) 1 (/ (atan2 im re) (log base)) (/ 1 (log base)) (/ (log base) (atan2 im re)) (atan2 im re) (/ (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (/ (log base) (cbrt (atan2 im re))) (/ (log base) (sqrt (atan2 im re))) (/ (log base) (atan2 im re)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) 0.945 * * * [progress]: adding candidates to table 1.010 * * [progress]: iteration 3 / 4 1.011 * * * [progress]: picking best candidate 1.051 * * * * [pick]: Picked # 1.051 * * * [progress]: localizing error 1.059 * * * [progress]: generating rewritten candidates 1.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.076 * * * [progress]: generating series expansions 1.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.076 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 1.077 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.077 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.077 * [taylor]: Taking taylor expansion of (log base) in base 1.077 * [taylor]: Taking taylor expansion of base in base 1.078 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.078 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.078 * [taylor]: Taking taylor expansion of (log base) in re 1.078 * [taylor]: Taking taylor expansion of base in re 1.078 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.078 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.078 * [taylor]: Taking taylor expansion of (log base) in im 1.078 * [taylor]: Taking taylor expansion of base in im 1.078 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.078 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.078 * [taylor]: Taking taylor expansion of (log base) in im 1.078 * [taylor]: Taking taylor expansion of base in im 1.078 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.078 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.078 * [taylor]: Taking taylor expansion of (log base) in re 1.078 * [taylor]: Taking taylor expansion of base in re 1.078 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.079 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.079 * [taylor]: Taking taylor expansion of (log base) in base 1.079 * [taylor]: Taking taylor expansion of base in base 1.080 * [taylor]: Taking taylor expansion of 0 in re 1.080 * [taylor]: Taking taylor expansion of 0 in base 1.081 * [taylor]: Taking taylor expansion of 0 in base 1.083 * [taylor]: Taking taylor expansion of 0 in re 1.083 * [taylor]: Taking taylor expansion of 0 in base 1.083 * [taylor]: Taking taylor expansion of 0 in base 1.085 * [taylor]: Taking taylor expansion of 0 in base 1.085 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 1.085 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.085 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.085 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.085 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.085 * [taylor]: Taking taylor expansion of base in base 1.086 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.086 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.086 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.086 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.086 * [taylor]: Taking taylor expansion of base in re 1.086 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.086 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.087 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.087 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.087 * [taylor]: Taking taylor expansion of base in im 1.087 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.087 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.087 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.087 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.087 * [taylor]: Taking taylor expansion of base in im 1.087 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.087 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.087 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.087 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.087 * [taylor]: Taking taylor expansion of base in re 1.087 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.087 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.087 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.087 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.087 * [taylor]: Taking taylor expansion of base in base 1.089 * [taylor]: Taking taylor expansion of 0 in re 1.089 * [taylor]: Taking taylor expansion of 0 in base 1.090 * [taylor]: Taking taylor expansion of 0 in base 1.094 * [taylor]: Taking taylor expansion of 0 in re 1.094 * [taylor]: Taking taylor expansion of 0 in base 1.094 * [taylor]: Taking taylor expansion of 0 in base 1.095 * [taylor]: Taking taylor expansion of 0 in base 1.096 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 1.096 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.096 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.096 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.096 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.096 * [taylor]: Taking taylor expansion of -1 in base 1.096 * [taylor]: Taking taylor expansion of base in base 1.098 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.098 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.098 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.098 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.098 * [taylor]: Taking taylor expansion of -1 in re 1.098 * [taylor]: Taking taylor expansion of base in re 1.098 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.098 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.098 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.098 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.098 * [taylor]: Taking taylor expansion of -1 in im 1.098 * [taylor]: Taking taylor expansion of base in im 1.098 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.098 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.098 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.098 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.098 * [taylor]: Taking taylor expansion of -1 in im 1.098 * [taylor]: Taking taylor expansion of base in im 1.098 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.098 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.099 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.099 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.099 * [taylor]: Taking taylor expansion of -1 in re 1.099 * [taylor]: Taking taylor expansion of base in re 1.099 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.099 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.099 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.099 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.099 * [taylor]: Taking taylor expansion of -1 in base 1.099 * [taylor]: Taking taylor expansion of base in base 1.102 * [taylor]: Taking taylor expansion of 0 in re 1.102 * [taylor]: Taking taylor expansion of 0 in base 1.103 * [taylor]: Taking taylor expansion of 0 in base 1.107 * [taylor]: Taking taylor expansion of 0 in re 1.107 * [taylor]: Taking taylor expansion of 0 in base 1.107 * [taylor]: Taking taylor expansion of 0 in base 1.109 * [taylor]: Taking taylor expansion of 0 in base 1.109 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.109 * [approximate]: Taking taylor expansion of (/ 1 (log base)) in (base) around 0 1.109 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 1.109 * [taylor]: Taking taylor expansion of (log base) in base 1.109 * [taylor]: Taking taylor expansion of base in base 1.110 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 1.110 * [taylor]: Taking taylor expansion of (log base) in base 1.110 * [taylor]: Taking taylor expansion of base in base 1.149 * [approximate]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in (base) around 0 1.149 * [taylor]: Taking taylor expansion of (/ 1 (log (/ 1 base))) 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 (/ 1 (log (/ 1 base))) in base 1.150 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.150 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.150 * [taylor]: Taking taylor expansion of base in base 1.199 * [approximate]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in (base) around 0 1.199 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 1.199 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.199 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.199 * [taylor]: Taking taylor expansion of -1 in base 1.199 * [taylor]: Taking taylor expansion of base in base 1.201 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 1.201 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.201 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.201 * [taylor]: Taking taylor expansion of -1 in base 1.201 * [taylor]: Taking taylor expansion of base in base 1.263 * * * [progress]: simplifying candidates 1.264 * [simplify]: Simplifying using # : (* (atan2 im re) (/ 1 (log base))) (+ (log (atan2 im re)) (- (log (log base)))) (+ (log (atan2 im re)) (- 0 (log (log base)))) (+ (log (atan2 im re)) (- (log 1) (log (log base)))) (+ (log (atan2 im re)) (log (/ 1 (log base)))) (log (* (atan2 im re) (/ 1 (log base)))) (exp (* (atan2 im re) (/ 1 (log base)))) (* (* (* (atan2 im re) (atan2 im re)) (atan2 im re)) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))) (* (* (* (atan2 im re) (atan2 im re)) (atan2 im re)) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))) (* (cbrt (* (atan2 im re) (/ 1 (log base)))) (cbrt (* (atan2 im re) (/ 1 (log base))))) (cbrt (* (atan2 im re) (/ 1 (log base)))) (* (* (* (atan2 im re) (/ 1 (log base))) (* (atan2 im re) (/ 1 (log base)))) (* (atan2 im re) (/ 1 (log base)))) (sqrt (* (atan2 im re) (/ 1 (log base)))) (sqrt (* (atan2 im re) (/ 1 (log base)))) (* (sqrt (atan2 im re)) (sqrt (/ 1 (log base)))) (* (sqrt (atan2 im re)) (sqrt (/ 1 (log base)))) (* (sqrt (atan2 im re)) (/ (sqrt 1) (sqrt (log base)))) (* (sqrt (atan2 im re)) (/ (sqrt 1) (sqrt (log base)))) (* (sqrt (atan2 im re)) (/ 1 (sqrt (log base)))) (* (sqrt (atan2 im re)) (/ 1 (sqrt (log base)))) (* (atan2 im re) (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base))))) (* (atan2 im re) (sqrt (/ 1 (log base)))) (* (atan2 im re) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (atan2 im re) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log base)) (cbrt (log base))))) (* (atan2 im re) (/ (* (cbrt 1) (cbrt 1)) (sqrt (log base)))) (* (atan2 im re) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (atan2 im re) (/ (sqrt 1) 1)) (* (atan2 im re) (/ (sqrt 1) (* (cbrt (log base)) (cbrt (log base))))) (* (atan2 im re) (/ (sqrt 1) (sqrt (log base)))) (* (atan2 im re) (/ (sqrt 1) 1)) (* (atan2 im re) (/ 1 1)) (* (atan2 im re) (/ 1 (* (cbrt (log base)) (cbrt (log base))))) (* (atan2 im re) (/ 1 (sqrt (log base)))) (* (atan2 im re) (/ 1 1)) (* (atan2 im re) 1) (* (atan2 im re) 1) (* (cbrt (atan2 im re)) (/ 1 (log base))) (* (sqrt (atan2 im re)) (/ 1 (log base))) (* (atan2 im re) (/ 1 (log base))) (* (atan2 im re) 1) (- 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) (/ (atan2 im re) (log base)) (* -1 (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (- (log -1) (log (/ -1 base)))) (/ 1 (log base)) (/ -1 (log (/ 1 base))) (/ 1 (- (log -1) (log (/ -1 base)))) 1.269 * * [simplify]: iteration 0 : 206 enodes (cost 403 ) 1.273 * * [simplify]: iteration 1 : 829 enodes (cost 345 ) 1.285 * * [simplify]: iteration 2 : 2677 enodes (cost 303 ) 1.308 * * [simplify]: iteration 3 : 5002 enodes (cost 296 ) 1.310 * [simplify]: Simplified to: (/ (atan2 im re) (log base)) (- (log (atan2 im re)) (log (log base))) (- (log (atan2 im re)) (log (log base))) (- (log (atan2 im re)) (log (log base))) (- (log (atan2 im re)) (log (log base))) (- (log (atan2 im re)) (log (log base))) (exp (* (atan2 im re) (/ 1 (log base)))) (pow (/ (atan2 im re) (log base)) 3) (pow (/ (atan2 im re) (log base)) 3) (* (cbrt (* (atan2 im re) (/ 1 (log base)))) (cbrt (* (atan2 im re) (/ 1 (log base))))) (cbrt (* (atan2 im re) (/ 1 (log base)))) (pow (/ (atan2 im re) (log base)) 3) (sqrt (* (atan2 im re) (/ 1 (log base)))) (sqrt (* (atan2 im re) (/ 1 (log base)))) (* (sqrt (atan2 im re)) (sqrt (/ 1 (log base)))) (* (sqrt (atan2 im re)) (sqrt (/ 1 (log base)))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (* (atan2 im re) (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base))))) (* (atan2 im re) (sqrt (/ 1 (log base)))) (atan2 im re) (/ (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (atan2 im re) (/ (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (atan2 im re) (/ (atan2 im re) (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (sqrt (log base))) (atan2 im re) (atan2 im re) (atan2 im re) (/ (cbrt (atan2 im re)) (log base)) (/ (sqrt (atan2 im re)) (log base)) (/ (atan2 im re) (log base)) (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) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ 1 (log base)) (/ 1 (log base)) (/ 1 (log base)) 1.311 * * * [progress]: adding candidates to table 1.411 * * [progress]: iteration 4 / 4 1.411 * * * [progress]: picking best candidate 1.452 * * * * [pick]: Picked # 1.452 * * * [progress]: localizing error 1.460 * * * [progress]: generating rewritten candidates 1.460 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.467 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.476 * * * [progress]: generating series expansions 1.476 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.476 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (base im re) around 0 1.476 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.476 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.476 * [taylor]: Taking taylor expansion of (log base) in re 1.476 * [taylor]: Taking taylor expansion of base in re 1.476 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.476 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.476 * [taylor]: Taking taylor expansion of (log base) in im 1.476 * [taylor]: Taking taylor expansion of base in im 1.476 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.476 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.477 * [taylor]: Taking taylor expansion of (log base) in base 1.477 * [taylor]: Taking taylor expansion of base in base 1.478 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.478 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.478 * [taylor]: Taking taylor expansion of (log base) in base 1.478 * [taylor]: Taking taylor expansion of base in base 1.479 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.479 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.479 * [taylor]: Taking taylor expansion of (log base) in im 1.479 * [taylor]: Taking taylor expansion of base in im 1.479 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.479 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.479 * [taylor]: Taking taylor expansion of (log base) in re 1.479 * [taylor]: Taking taylor expansion of base in re 1.480 * [taylor]: Taking taylor expansion of 0 in im 1.480 * [taylor]: Taking taylor expansion of 0 in re 1.481 * [taylor]: Taking taylor expansion of 0 in re 1.484 * [taylor]: Taking taylor expansion of 0 in im 1.484 * [taylor]: Taking taylor expansion of 0 in re 1.484 * [taylor]: Taking taylor expansion of 0 in re 1.485 * [taylor]: Taking taylor expansion of 0 in re 1.486 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (base im re) around 0 1.486 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.486 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.486 * [taylor]: Taking taylor expansion of base in re 1.486 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.486 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.486 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.486 * [taylor]: Taking taylor expansion of base in im 1.486 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.486 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.486 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.486 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.486 * [taylor]: Taking taylor expansion of base in base 1.487 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.487 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.487 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.487 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.487 * [taylor]: Taking taylor expansion of base in base 1.489 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in im 1.489 * [taylor]: Taking taylor expansion of -1 in im 1.489 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 1.489 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.489 * [taylor]: Taking taylor expansion of (log base) in im 1.489 * [taylor]: Taking taylor expansion of base in im 1.489 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in re 1.489 * [taylor]: Taking taylor expansion of -1 in re 1.489 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 1.489 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.489 * [taylor]: Taking taylor expansion of (log base) in re 1.489 * [taylor]: Taking taylor expansion of base in re 1.491 * [taylor]: Taking taylor expansion of 0 in im 1.491 * [taylor]: Taking taylor expansion of 0 in re 1.492 * [taylor]: Taking taylor expansion of 0 in re 1.500 * [taylor]: Taking taylor expansion of 0 in im 1.500 * [taylor]: Taking taylor expansion of 0 in re 1.500 * [taylor]: Taking taylor expansion of 0 in re 1.502 * [taylor]: Taking taylor expansion of 0 in re 1.503 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (base im re) around 0 1.503 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.503 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.503 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.503 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.503 * [taylor]: Taking taylor expansion of -1 in re 1.503 * [taylor]: Taking taylor expansion of base in re 1.503 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.503 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.503 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.503 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.503 * [taylor]: Taking taylor expansion of -1 in im 1.503 * [taylor]: Taking taylor expansion of base in im 1.503 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.503 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.503 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.503 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.503 * [taylor]: Taking taylor expansion of -1 in base 1.503 * [taylor]: Taking taylor expansion of base in base 1.505 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.505 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.505 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.505 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.505 * [taylor]: Taking taylor expansion of -1 in base 1.506 * [taylor]: Taking taylor expansion of base in base 1.507 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in im 1.507 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.508 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 1.508 * [taylor]: Taking taylor expansion of (log -1) in im 1.508 * [taylor]: Taking taylor expansion of -1 in im 1.508 * [taylor]: Taking taylor expansion of (log base) in im 1.508 * [taylor]: Taking taylor expansion of base in im 1.509 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in re 1.509 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.509 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 1.509 * [taylor]: Taking taylor expansion of (log -1) in re 1.509 * [taylor]: Taking taylor expansion of -1 in re 1.509 * [taylor]: Taking taylor expansion of (log base) in re 1.509 * [taylor]: Taking taylor expansion of base in re 1.513 * [taylor]: Taking taylor expansion of 0 in im 1.513 * [taylor]: Taking taylor expansion of 0 in re 1.516 * [taylor]: Taking taylor expansion of 0 in re 1.523 * [taylor]: Taking taylor expansion of 0 in im 1.524 * [taylor]: Taking taylor expansion of 0 in re 1.524 * [taylor]: Taking taylor expansion of 0 in re 1.528 * [taylor]: Taking taylor expansion of 0 in re 1.528 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.528 * [approximate]: Taking taylor expansion of (/ (log base) (atan2 im re)) in (base im re) around 0 1.528 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in re 1.528 * [taylor]: Taking taylor expansion of (log base) in re 1.528 * [taylor]: Taking taylor expansion of base in re 1.528 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.529 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in im 1.529 * [taylor]: Taking taylor expansion of (log base) in im 1.529 * [taylor]: Taking taylor expansion of base in im 1.529 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.529 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in base 1.529 * [taylor]: Taking taylor expansion of (log base) in base 1.529 * [taylor]: Taking taylor expansion of base in base 1.529 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.530 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in base 1.530 * [taylor]: Taking taylor expansion of (log base) in base 1.530 * [taylor]: Taking taylor expansion of base in base 1.530 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.531 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in im 1.531 * [taylor]: Taking taylor expansion of (log base) in im 1.531 * [taylor]: Taking taylor expansion of base in im 1.531 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.531 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in re 1.531 * [taylor]: Taking taylor expansion of (log base) in re 1.531 * [taylor]: Taking taylor expansion of base in re 1.531 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.532 * [taylor]: Taking taylor expansion of 0 in im 1.532 * [taylor]: Taking taylor expansion of 0 in re 1.533 * [taylor]: Taking taylor expansion of 0 in re 1.535 * [taylor]: Taking taylor expansion of 0 in im 1.535 * [taylor]: Taking taylor expansion of 0 in re 1.535 * [taylor]: Taking taylor expansion of 0 in re 1.536 * [taylor]: Taking taylor expansion of 0 in re 1.536 * [approximate]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in (base im re) around 0 1.536 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in re 1.536 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.536 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.536 * [taylor]: Taking taylor expansion of base in re 1.536 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.536 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in im 1.536 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.536 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.536 * [taylor]: Taking taylor expansion of base in im 1.537 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.537 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in base 1.537 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.537 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.537 * [taylor]: Taking taylor expansion of base in base 1.537 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.538 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in base 1.538 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.538 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.538 * [taylor]: Taking taylor expansion of base in base 1.539 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.539 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 (/ 1 im) (/ 1 re)))) in im 1.539 * [taylor]: Taking taylor expansion of -1 in im 1.539 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in im 1.539 * [taylor]: Taking taylor expansion of (log base) in im 1.539 * [taylor]: Taking taylor expansion of base in im 1.539 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.540 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 (/ 1 im) (/ 1 re)))) in re 1.540 * [taylor]: Taking taylor expansion of -1 in re 1.540 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in re 1.540 * [taylor]: Taking taylor expansion of (log base) in re 1.540 * [taylor]: Taking taylor expansion of base in re 1.540 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.541 * [taylor]: Taking taylor expansion of 0 in im 1.541 * [taylor]: Taking taylor expansion of 0 in re 1.542 * [taylor]: Taking taylor expansion of 0 in re 1.546 * [taylor]: Taking taylor expansion of 0 in im 1.546 * [taylor]: Taking taylor expansion of 0 in re 1.546 * [taylor]: Taking taylor expansion of 0 in re 1.548 * [taylor]: Taking taylor expansion of 0 in re 1.548 * [approximate]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (base im re) around 0 1.548 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 1.548 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.548 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.548 * [taylor]: Taking taylor expansion of -1 in re 1.548 * [taylor]: Taking taylor expansion of base in re 1.548 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.548 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 1.548 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.548 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.548 * [taylor]: Taking taylor expansion of -1 in im 1.548 * [taylor]: Taking taylor expansion of base in im 1.548 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.548 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 1.548 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.548 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.548 * [taylor]: Taking taylor expansion of -1 in base 1.548 * [taylor]: Taking taylor expansion of base in base 1.549 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.550 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 1.550 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.550 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.550 * [taylor]: Taking taylor expansion of -1 in base 1.550 * [taylor]: Taking taylor expansion of base in base 1.551 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.552 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in im 1.552 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 1.552 * [taylor]: Taking taylor expansion of (log -1) in im 1.553 * [taylor]: Taking taylor expansion of -1 in im 1.553 * [taylor]: Taking taylor expansion of (log base) in im 1.553 * [taylor]: Taking taylor expansion of base in im 1.553 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.554 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in re 1.554 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 1.554 * [taylor]: Taking taylor expansion of (log -1) in re 1.554 * [taylor]: Taking taylor expansion of -1 in re 1.554 * [taylor]: Taking taylor expansion of (log base) in re 1.554 * [taylor]: Taking taylor expansion of base in re 1.554 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.557 * [taylor]: Taking taylor expansion of 0 in im 1.557 * [taylor]: Taking taylor expansion of 0 in re 1.559 * [taylor]: Taking taylor expansion of 0 in re 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.564 * [taylor]: Taking taylor expansion of 0 in re 1.564 * [taylor]: Taking taylor expansion of 0 in re 1.567 * [taylor]: Taking taylor expansion of 0 in re 1.568 * * * [progress]: simplifying candidates 1.570 * [simplify]: Simplifying using # : (- 1) (- (- (log (log base)) (log (atan2 im re)))) (- (log (/ (log base) (atan2 im re)))) (- 0 (- (log (log base)) (log (atan2 im re)))) (- 0 (log (/ (log base) (atan2 im re)))) (- (log 1) (- (log (log base)) (log (atan2 im re)))) (- (log 1) (log (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (exp (/ 1 (/ (log base) (atan2 im re)))) (/ (* (* 1 1) 1) (/ (* (* (log base) (log base)) (log base)) (* (* (atan2 im re) (atan2 im re)) (atan2 im re)))) (/ (* (* 1 1) 1) (* (* (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re)))) (* (cbrt (/ 1 (/ (log base) (atan2 im re)))) (cbrt (/ 1 (/ (log base) (atan2 im re))))) (cbrt (/ 1 (/ (log base) (atan2 im re)))) (* (* (/ 1 (/ (log base) (atan2 im re))) (/ 1 (/ (log base) (atan2 im re)))) (/ 1 (/ (log base) (atan2 im re)))) (sqrt (/ 1 (/ (log base) (atan2 im re)))) (sqrt (/ 1 (/ (log base) (atan2 im re)))) (- 1) (- (/ (log base) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re))))) (/ (cbrt 1) (cbrt (/ (log base) (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (log base) (atan2 im re)))) (/ (cbrt 1) (sqrt (/ (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)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (cbrt (log base)) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (cbrt (log base)) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) 1)) (/ (cbrt 1) (/ (cbrt (log base)) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt 1) (/ (sqrt (log base)) (cbrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ (cbrt 1) (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (log base)) 1)) (/ (cbrt 1) (/ (sqrt (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 1) (/ (log base) (atan2 im re))) (/ (* (cbrt 1) (cbrt 1)) (log base)) (/ (cbrt 1) (/ 1 (atan2 im re))) (/ (sqrt 1) (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re))))) (/ (sqrt 1) (cbrt (/ (log base) (atan2 im re)))) (/ (sqrt 1) (sqrt (/ (log base) (atan2 im re)))) (/ (sqrt 1) (sqrt (/ (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) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (cbrt (log base)) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (cbrt (log base)) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) 1)) (/ (sqrt 1) (/ (cbrt (log base)) (atan2 im re))) (/ (sqrt 1) (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (sqrt 1) (/ (sqrt (log base)) (cbrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ (sqrt 1) (/ (sqrt (log base)) 1)) (/ (sqrt 1) (/ (sqrt (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) (/ (sqrt 1) (/ (log base) (atan2 im re))) (/ (sqrt 1) (log base)) (/ (sqrt 1) (/ 1 (atan2 im re))) (/ 1 (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re))))) (/ 1 (cbrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (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 (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (cbrt (log base)) (cbrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re)))) (/ 1 (/ (cbrt (log base)) (sqrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log base)) (cbrt (log base))) 1)) (/ 1 (/ (cbrt (log base)) (atan2 im re))) (/ 1 (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (sqrt (log base)) (cbrt (atan2 im re)))) (/ 1 (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log base)) 1)) (/ 1 (/ (sqrt (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) (/ 1 (/ (log base) (atan2 im re))) (/ 1 (log base)) (/ 1 (/ 1 (atan2 im re))) (/ 1 (/ (log base) (atan2 im re))) (/ (/ (log base) (atan2 im re)) 1) (/ 1 (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re))))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (/ 1 (/ 1 (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ 1 (sqrt (atan2 im re)))) (/ 1 (/ 1 1)) (/ 1 (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re)))) (/ 1 (/ (* (cbrt (log base)) (cbrt (log base))) 1)) (/ 1 (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ 1 (/ (sqrt (log base)) (sqrt (atan2 im re)))) (/ 1 (/ (sqrt (log 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 base)) (/ (/ (log base) (atan2 im re)) (cbrt 1)) (/ (/ (log base) (atan2 im re)) (sqrt 1)) (/ (/ (log base) (atan2 im re)) 1) (/ 1 (log base)) (- (log (log base)) (log (atan2 im re))) (log (/ (log base) (atan2 im re))) (exp (/ (log base) (atan2 im re))) (/ (* (* (log base) (log base)) (log base)) (* (* (atan2 im re) (atan2 im re)) (atan2 im re))) (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re))) (* (* (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re))) (/ (log base) (atan2 im re))) (sqrt (/ (log base) (atan2 im re))) (sqrt (/ (log base) (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)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (log base)) (cbrt (atan2 im re))) (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re))) (/ (cbrt (log base)) (sqrt (atan2 im re))) (/ (* (cbrt (log base)) (cbrt (log base))) 1) (/ (cbrt (log base)) (atan2 im re)) (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (sqrt (log base)) (cbrt (atan2 im re))) (/ (sqrt (log base)) (sqrt (atan2 im re))) (/ (sqrt (log base)) (sqrt (atan2 im re))) (/ (sqrt (log base)) 1) (/ (sqrt (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 (atan2 im re)) (/ (atan2 im re) (log base)) (/ (log base) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (/ (log base) 1) (/ (atan2 im re) (log base)) (/ (atan2 im re) (cbrt (log base))) (/ (atan2 im re) (sqrt (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (* -1 (/ (atan2 im re) (log (/ 1 base)))) (/ (atan2 im re) (- (log -1) (log (/ -1 base)))) (/ (log base) (atan2 im re)) (* -1 (/ (log (/ 1 base)) (atan2 im re))) (/ (- (log -1) (log (/ -1 base))) (atan2 im re)) 1.576 * * [simplify]: iteration 0 : 335 enodes (cost 999 ) 1.582 * * [simplify]: iteration 1 : 1404 enodes (cost 889 ) 1.603 * * [simplify]: iteration 2 : 5001 enodes (cost 788 ) 1.608 * [simplify]: Simplified to: -1 (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (log (/ 1 (/ (log base) (atan2 im re)))) (exp (/ 1 (/ (log base) (atan2 im re)))) (/ 1 (pow (/ (log base) (atan2 im re)) 3)) (/ 1 (pow (/ (log base) (atan2 im re)) 3)) (* (cbrt (/ 1 (/ (log base) (atan2 im re)))) (cbrt (/ 1 (/ (log base) (atan2 im re))))) (cbrt (/ 1 (/ (log base) (atan2 im re)))) (/ 1 (pow (/ (log base) (atan2 im re)) 3)) (sqrt (/ 1 (/ (log base) (atan2 im re)))) (sqrt (/ 1 (/ (log base) (atan2 im re)))) -1 (- (/ (log base) (atan2 im re))) (/ (/ 1 (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re)))) (/ 1 (cbrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (atan2 im re)) (cbrt (log base))) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (cbrt (log base))) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (cbrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (cbrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ 1 (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) 1 (/ (atan2 im re) (log base)) (/ 1 (log base)) (atan2 im re) (/ (/ 1 (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re)))) (/ 1 (cbrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (atan2 im re)) (cbrt (log base))) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (cbrt (log base))) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (cbrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (cbrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ 1 (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) 1 (/ (atan2 im re) (log base)) (/ 1 (log base)) (atan2 im re) (/ (/ 1 (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re)))) (/ 1 (cbrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (atan2 im re)) (cbrt (log base))) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (cbrt (log base))) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (atan2 im re) (cbrt (log base))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (cbrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ 1 (sqrt (log base))) (/ (atan2 im re) (sqrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (/ 1 (/ (log base) (cbrt (atan2 im re)))) (sqrt (atan2 im re)) (/ (sqrt (atan2 im re)) (log base)) 1 (/ (atan2 im re) (log base)) 1 (/ (atan2 im re) (log base)) (/ 1 (log base)) (atan2 im re) (/ (atan2 im re) (log base)) (/ (log base) (atan2 im re)) (/ (/ 1 (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re)))) (/ 1 (sqrt (/ (log base) (atan2 im re)))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (atan2 im re)) 1 (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (atan2 im re)) (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (log base))) (/ (sqrt (atan2 im re)) (sqrt (log base))) (/ 1 (sqrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))) (sqrt (atan2 im re)) 1 1 (/ 1 (log base)) (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re)) (/ 1 (log base)) (log (/ (log base) (atan2 im re))) (log (/ (log base) (atan2 im re))) (pow base (/ 1 (atan2 im re))) (pow (/ (log base) (atan2 im re)) 3) (* (cbrt (/ (log base) (atan2 im re))) (cbrt (/ (log base) (atan2 im re)))) (cbrt (/ (log base) (atan2 im re))) (pow (/ (log base) (atan2 im re)) 3) (sqrt (/ (log base) (atan2 im re))) (sqrt (/ (log base) (atan2 im re))) (log (/ 1 base)) (* -1 (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)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (cbrt (log base)) (cbrt (atan2 im re))) (/ (* (cbrt (log base)) (cbrt (log base))) (sqrt (atan2 im re))) (/ (cbrt (log base)) (sqrt (atan2 im re))) (* (cbrt (log base)) (cbrt (log base))) (/ (cbrt (log base)) (atan2 im re)) (/ (sqrt (log base)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (sqrt (log base)) (cbrt (atan2 im re))) (/ (sqrt (log base)) (sqrt (atan2 im re))) (/ (sqrt (log base)) (sqrt (atan2 im re))) (sqrt (log base)) (/ (sqrt (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 (atan2 im re)) (/ (atan2 im re) (log base)) (/ (log base) (* (cbrt (atan2 im re)) (cbrt (atan2 im re)))) (/ (log base) (sqrt (atan2 im re))) (log base) (/ (atan2 im re) (log base)) (/ (atan2 im re) (cbrt (log base))) (/ (atan2 im re) (sqrt (log base))) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (atan2 im re) (log base)) (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re)) (/ (log base) (atan2 im re)) 1.608 * * * [progress]: adding candidates to table 1.766 * [progress]: [Phase 3 of 3] Extracting. 1.767 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 1.770 * * * [regime-changes]: Trying 4 branch expressions: ((log base) base im re) 1.770 * * * * [regimes]: Trying to branch on (log base) from (# # # # # # # # # # # #) 1.823 * * * * [regimes]: Trying to branch on base from (# # # # # # # # # # # #) 1.872 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 1.920 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 1.968 * * * [regime]: Found split indices: #