14.446 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.055 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying using # : (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.060 * * [simplify]: iteration 0 : 18 enodes (cost 28 ) 0.063 * * [simplify]: iteration 1 : 27 enodes (cost 28 ) 0.066 * * [simplify]: iteration 2 : 44 enodes (cost 28 ) 0.071 * * [simplify]: iteration 3 : 56 enodes (cost 28 ) 0.077 * * [simplify]: iteration 4 : 74 enodes (cost 28 ) 0.090 * * [simplify]: iteration 5 : 80 enodes (cost 28 ) 0.099 * * [simplify]: iteration done : 80 enodes (cost 28 ) 0.099 * [simplify]: Simplified to: (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1) 0.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.132 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.144 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1) 0.152 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.152 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.152 * [taylor]: Taking taylor expansion of re in im 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.153 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.153 * [taylor]: Taking taylor expansion of re in re 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.153 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.156 * [taylor]: Taking taylor expansion of 1/2 in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.160 * [taylor]: Taking taylor expansion of re in im 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.167 * [taylor]: Taking taylor expansion of 1 in im 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of 1/2 in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.176 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.177 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.177 * [taylor]: Taking taylor expansion of im in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.183 * [taylor]: Taking taylor expansion of re in re 0.185 * [taylor]: Taking taylor expansion of 1 in im 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.187 * [taylor]: Taking taylor expansion of 1/2 in im 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.190 * [taylor]: Taking taylor expansion of 0 in im 0.191 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.191 * [approximate]: Taking taylor expansion of (pow (log base) 2) in (base) around 0 0.191 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.191 * [taylor]: Taking taylor expansion of (log base) in base 0.191 * [taylor]: Taking taylor expansion of base in base 0.192 * [taylor]: Taking taylor expansion of (pow (log base) 2) in base 0.192 * [taylor]: Taking taylor expansion of (log base) in base 0.192 * [taylor]: Taking taylor expansion of base in base 0.233 * [approximate]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in (base) around 0 0.234 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.234 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.234 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.234 * [taylor]: Taking taylor expansion of base in base 0.234 * [taylor]: Taking taylor expansion of (pow (log (/ 1 base)) 2) in base 0.234 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.234 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.234 * [taylor]: Taking taylor expansion of base in base 0.282 * [approximate]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in (base) around 0 0.282 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.282 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.282 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.282 * [taylor]: Taking taylor expansion of -1 in base 0.282 * [taylor]: Taking taylor expansion of base in base 0.283 * [taylor]: Taking taylor expansion of (pow (log (/ -1 base)) 2) in base 0.283 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.283 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.283 * [taylor]: Taking taylor expansion of -1 in base 0.283 * [taylor]: Taking taylor expansion of base in base 0.342 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.343 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 0.343 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.343 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.344 * [taylor]: Taking taylor expansion of (log base) in base 0.344 * [taylor]: Taking taylor expansion of base in base 0.345 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.345 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.345 * [taylor]: Taking taylor expansion of (log base) in re 0.345 * [taylor]: Taking taylor expansion of base in re 0.345 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.345 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.345 * [taylor]: Taking taylor expansion of (log base) in im 0.345 * [taylor]: Taking taylor expansion of base in im 0.345 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 0.345 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.345 * [taylor]: Taking taylor expansion of (log base) in im 0.345 * [taylor]: Taking taylor expansion of base in im 0.345 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 0.345 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.345 * [taylor]: Taking taylor expansion of (log base) in re 0.345 * [taylor]: Taking taylor expansion of base in re 0.345 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 0.345 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.345 * [taylor]: Taking taylor expansion of (log base) in base 0.345 * [taylor]: Taking taylor expansion of base in base 0.347 * [taylor]: Taking taylor expansion of 0 in re 0.347 * [taylor]: Taking taylor expansion of 0 in base 0.348 * [taylor]: Taking taylor expansion of 0 in base 0.350 * [taylor]: Taking taylor expansion of 0 in re 0.350 * [taylor]: Taking taylor expansion of 0 in base 0.350 * [taylor]: Taking taylor expansion of 0 in base 0.352 * [taylor]: Taking taylor expansion of 0 in base 0.352 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.352 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.352 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.353 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.353 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.353 * [taylor]: Taking taylor expansion of base in base 0.354 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.354 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.354 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.354 * [taylor]: Taking taylor expansion of base in re 0.354 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.354 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.354 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.354 * [taylor]: Taking taylor expansion of base in im 0.354 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.354 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.354 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.354 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.354 * [taylor]: Taking taylor expansion of base in im 0.355 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.355 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.355 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.355 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.355 * [taylor]: Taking taylor expansion of base in re 0.355 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.355 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.355 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.355 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.355 * [taylor]: Taking taylor expansion of base in base 0.357 * [taylor]: Taking taylor expansion of 0 in re 0.357 * [taylor]: Taking taylor expansion of 0 in base 0.358 * [taylor]: Taking taylor expansion of 0 in base 0.361 * [taylor]: Taking taylor expansion of 0 in re 0.361 * [taylor]: Taking taylor expansion of 0 in base 0.361 * [taylor]: Taking taylor expansion of 0 in base 0.362 * [taylor]: Taking taylor expansion of 0 in base 0.363 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 0.363 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.364 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.364 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.364 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.364 * [taylor]: Taking taylor expansion of -1 in base 0.364 * [taylor]: Taking taylor expansion of base in base 0.365 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.366 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.366 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.366 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.366 * [taylor]: Taking taylor expansion of -1 in re 0.366 * [taylor]: Taking taylor expansion of base in re 0.366 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.366 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.366 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.366 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.366 * [taylor]: Taking taylor expansion of -1 in im 0.366 * [taylor]: Taking taylor expansion of base in im 0.366 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 0.366 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.366 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.366 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.366 * [taylor]: Taking taylor expansion of -1 in im 0.366 * [taylor]: Taking taylor expansion of base in im 0.366 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 0.366 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.367 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.367 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.367 * [taylor]: Taking taylor expansion of -1 in re 0.367 * [taylor]: Taking taylor expansion of base in re 0.367 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 0.367 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.367 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.367 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.367 * [taylor]: Taking taylor expansion of -1 in base 0.367 * [taylor]: Taking taylor expansion of base in base 0.370 * [taylor]: Taking taylor expansion of 0 in re 0.370 * [taylor]: Taking taylor expansion of 0 in base 0.371 * [taylor]: Taking taylor expansion of 0 in base 0.375 * [taylor]: Taking taylor expansion of 0 in re 0.375 * [taylor]: Taking taylor expansion of 0 in base 0.375 * [taylor]: Taking taylor expansion of 0 in base 0.377 * [taylor]: Taking taylor expansion of 0 in base 0.377 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.377 * [approximate]: Taking taylor expansion of (* (atan2 im re) (log base)) in (im re base) around 0 0.377 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.377 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.377 * [taylor]: Taking taylor expansion of (log base) in base 0.377 * [taylor]: Taking taylor expansion of base in base 0.378 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.378 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.378 * [taylor]: Taking taylor expansion of (log base) in re 0.378 * [taylor]: Taking taylor expansion of base in re 0.378 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.378 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.378 * [taylor]: Taking taylor expansion of (log base) in im 0.378 * [taylor]: Taking taylor expansion of base in im 0.378 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in im 0.378 * [taylor]: Taking taylor expansion of (atan2 im re) in im 0.378 * [taylor]: Taking taylor expansion of (log base) in im 0.378 * [taylor]: Taking taylor expansion of base in im 0.378 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in re 0.378 * [taylor]: Taking taylor expansion of (atan2 im re) in re 0.378 * [taylor]: Taking taylor expansion of (log base) in re 0.378 * [taylor]: Taking taylor expansion of base in re 0.378 * [taylor]: Taking taylor expansion of (* (atan2 im re) (log base)) in base 0.378 * [taylor]: Taking taylor expansion of (atan2 im re) in base 0.378 * [taylor]: Taking taylor expansion of (log base) in base 0.378 * [taylor]: Taking taylor expansion of base in base 0.380 * [taylor]: Taking taylor expansion of 0 in re 0.380 * [taylor]: Taking taylor expansion of 0 in base 0.380 * [taylor]: Taking taylor expansion of 0 in base 0.383 * [taylor]: Taking taylor expansion of 0 in re 0.383 * [taylor]: Taking taylor expansion of 0 in base 0.383 * [taylor]: Taking taylor expansion of 0 in base 0.384 * [taylor]: Taking taylor expansion of 0 in base 0.384 * [approximate]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 0.384 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.384 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.384 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.384 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.384 * [taylor]: Taking taylor expansion of base in base 0.385 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.385 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.385 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.385 * [taylor]: Taking taylor expansion of base in re 0.385 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.385 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.385 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.385 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.385 * [taylor]: Taking taylor expansion of base in im 0.385 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 0.385 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 0.385 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 0.385 * [taylor]: Taking taylor expansion of (/ 1 base) in im 0.385 * [taylor]: Taking taylor expansion of base in im 0.386 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 0.386 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 0.386 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 base) in re 0.386 * [taylor]: Taking taylor expansion of base in re 0.386 * [taylor]: Taking taylor expansion of (* (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 0.386 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 0.386 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 0.386 * [taylor]: Taking taylor expansion of (/ 1 base) in base 0.386 * [taylor]: Taking taylor expansion of base in base 0.388 * [taylor]: Taking taylor expansion of 0 in re 0.388 * [taylor]: Taking taylor expansion of 0 in base 0.388 * [taylor]: Taking taylor expansion of 0 in base 0.391 * [taylor]: Taking taylor expansion of 0 in re 0.391 * [taylor]: Taking taylor expansion of 0 in base 0.391 * [taylor]: Taking taylor expansion of 0 in base 0.393 * [taylor]: Taking taylor expansion of 0 in base 0.393 * [approximate]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (im re base) around 0 0.393 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 0.393 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.393 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.393 * [taylor]: Taking taylor expansion of -1 in base 0.393 * [taylor]: Taking taylor expansion of base in base 0.394 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.394 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 0.394 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.394 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.394 * [taylor]: Taking taylor expansion of -1 in re 0.394 * [taylor]: Taking taylor expansion of base in re 0.394 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.394 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.394 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.394 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.394 * [taylor]: Taking taylor expansion of -1 in im 0.394 * [taylor]: Taking taylor expansion of base in im 0.394 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.394 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 0.394 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 0.394 * [taylor]: Taking taylor expansion of (/ -1 base) in im 0.394 * [taylor]: Taking taylor expansion of -1 in im 0.394 * [taylor]: Taking taylor expansion of base in im 0.394 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 0.395 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 0.395 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 0.395 * [taylor]: Taking taylor expansion of (/ -1 base) in re 0.395 * [taylor]: Taking taylor expansion of -1 in re 0.395 * [taylor]: Taking taylor expansion of base in re 0.395 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 0.395 * [taylor]: Taking taylor expansion of (* (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 0.395 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 0.395 * [taylor]: Taking taylor expansion of (/ -1 base) in base 0.395 * [taylor]: Taking taylor expansion of -1 in base 0.395 * [taylor]: Taking taylor expansion of base in base 0.395 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 0.397 * [taylor]: Taking taylor expansion of 0 in re 0.397 * [taylor]: Taking taylor expansion of 0 in base 0.398 * [taylor]: Taking taylor expansion of 0 in base 0.402 * [taylor]: Taking taylor expansion of 0 in re 0.402 * [taylor]: Taking taylor expansion of 0 in base 0.402 * [taylor]: Taking taylor expansion of 0 in base 0.403 * [taylor]: Taking taylor expansion of 0 in base 0.404 * * * [progress]: simplifying candidates 0.406 * [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))) (* 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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)) 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)))) 0.417 * * [simplify]: iteration 0 : 194 enodes (cost 2236 ) 0.452 * * [simplify]: iteration 1 : 440 enodes (cost 2040 ) 0.570 * * [simplify]: iteration 2 : 1492 enodes (cost 1850 ) 0.990 * * [simplify]: iteration done : 5001 enodes (cost 1850 ) 0.991 * [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 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im)))) 0.0)))) (/ (+ (pow (log base) 2) (* 0.0 0.0)) (sqrt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (/ (+ (pow (log base) 2) (* 0.0 0.0)) (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0))) (/ (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (pow (log base) 6) (pow 0.0 6))) (/ (- (* (log base) (atan2 im re)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (- (pow (log base) 4) (* 0.0 (pow 0.0 3)))) (* (+ (* (* (atan2 im re) (atan2 im re)) (pow (log base) 2)) (* (* (log (sqrt (+ (* re re) (* im im)))) 0.0) (+ (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)))) (+ (pow (log base) 2) (* 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) (atan2 im re)) (log (* (atan2 im re) (log base))) (log (* (atan2 im re) (log base))) (pow base (atan2 im re)) (pow (* (log base) (atan2 im re)) 3) (* (cbrt (* (atan2 im re) (log base))) (cbrt (* (atan2 im re) (log base)))) (cbrt (* (atan2 im re) (log base))) (pow (* (log base) (atan2 im re)) 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))) (* (* 2 (log (cbrt base))) (atan2 im re)) (* (atan2 im re) (log (cbrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log (sqrt base))) 0 (* (log base) (atan2 im re)) (* (* 2 (log (cbrt base))) (atan2 im re)) (* (atan2 im re) (log (cbrt base))) (* (atan2 im re) (log (sqrt base))) (* (atan2 im re) (log (sqrt base))) 0 (* (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) (* (cbrt (atan2 im re)) (log base)) (* (sqrt (atan2 im re)) (log base)) (* (log base) (atan2 im re)) im re (- re) (pow (log base) 2) (pow (log base) 2) (pow (- (log -1) (log (/ -1 base))) 2) (/ (atan2 im re) (log base)) (- (/ (atan2 im re) (- (log base)))) (/ (atan2 im re) (- (log -1) (log (/ -1 base)))) (* (log base) (atan2 im re)) (- (* (atan2 im re) (- (log base)))) (* (atan2 im re) (- (log -1) (log (/ -1 base)))) 0.992 * * * [progress]: adding candidates to table 1.434 * * [progress]: iteration 2 / 4 1.434 * * * [progress]: picking best candidate 1.474 * * * * [pick]: Picked # 1.475 * * * [progress]: localizing error 1.481 * * * [progress]: generating rewritten candidates 1.481 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.485 * * * [progress]: generating series expansions 1.485 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.485 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (im re base) around 0 1.485 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.485 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.485 * [taylor]: Taking taylor expansion of (log base) in base 1.485 * [taylor]: Taking taylor expansion of base in base 1.486 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.486 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.486 * [taylor]: Taking taylor expansion of (log base) in re 1.486 * [taylor]: Taking taylor expansion of base in re 1.486 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.486 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.486 * [taylor]: Taking taylor expansion of (log base) in im 1.486 * [taylor]: Taking taylor expansion of base in im 1.487 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 1.487 * [taylor]: Taking taylor expansion of (atan2 im re) in im 1.487 * [taylor]: Taking taylor expansion of (log base) in im 1.487 * [taylor]: Taking taylor expansion of base in im 1.487 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 1.487 * [taylor]: Taking taylor expansion of (atan2 im re) in re 1.487 * [taylor]: Taking taylor expansion of (log base) in re 1.487 * [taylor]: Taking taylor expansion of base in re 1.487 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 1.487 * [taylor]: Taking taylor expansion of (atan2 im re) in base 1.487 * [taylor]: Taking taylor expansion of (log base) in base 1.487 * [taylor]: Taking taylor expansion of base in base 1.489 * [taylor]: Taking taylor expansion of 0 in re 1.489 * [taylor]: Taking taylor expansion of 0 in base 1.489 * [taylor]: Taking taylor expansion of 0 in base 1.492 * [taylor]: Taking taylor expansion of 0 in re 1.492 * [taylor]: Taking taylor expansion of 0 in base 1.492 * [taylor]: Taking taylor expansion of 0 in base 1.494 * [taylor]: Taking taylor expansion of 0 in base 1.494 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (im re base) around 0 1.494 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.494 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.494 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.494 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.494 * [taylor]: Taking taylor expansion of base in base 1.495 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.495 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.495 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.495 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.495 * [taylor]: Taking taylor expansion of base in re 1.495 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.495 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.495 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.495 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.495 * [taylor]: Taking taylor expansion of base in im 1.496 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 1.496 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 1.496 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 1.496 * [taylor]: Taking taylor expansion of (/ 1 base) in im 1.496 * [taylor]: Taking taylor expansion of base in im 1.496 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 1.496 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 1.496 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 base) in re 1.496 * [taylor]: Taking taylor expansion of base in re 1.496 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 1.496 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 1.496 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 1.496 * [taylor]: Taking taylor expansion of (/ 1 base) in base 1.496 * [taylor]: Taking taylor expansion of base in base 1.498 * [taylor]: Taking taylor expansion of 0 in re 1.498 * [taylor]: Taking taylor expansion of 0 in base 1.499 * [taylor]: Taking taylor expansion of 0 in base 1.502 * [taylor]: Taking taylor expansion of 0 in re 1.502 * [taylor]: Taking taylor expansion of 0 in base 1.502 * [taylor]: Taking taylor expansion of 0 in base 1.504 * [taylor]: Taking taylor expansion of 0 in base 1.504 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (im re base) around 0 1.504 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.504 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.504 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.504 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.504 * [taylor]: Taking taylor expansion of -1 in base 1.504 * [taylor]: Taking taylor expansion of base in base 1.506 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.506 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.506 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.506 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.506 * [taylor]: Taking taylor expansion of -1 in re 1.506 * [taylor]: Taking taylor expansion of base in re 1.506 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.506 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.506 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.506 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.506 * [taylor]: Taking taylor expansion of -1 in im 1.506 * [taylor]: Taking taylor expansion of base in im 1.507 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 1.507 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 1.507 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 1.507 * [taylor]: Taking taylor expansion of (/ -1 base) in im 1.507 * [taylor]: Taking taylor expansion of -1 in im 1.507 * [taylor]: Taking taylor expansion of base in im 1.507 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 1.507 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 1.507 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 1.507 * [taylor]: Taking taylor expansion of (/ -1 base) in re 1.507 * [taylor]: Taking taylor expansion of -1 in re 1.507 * [taylor]: Taking taylor expansion of base in re 1.507 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 1.507 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 1.507 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 1.507 * [taylor]: Taking taylor expansion of (/ -1 base) in base 1.507 * [taylor]: Taking taylor expansion of -1 in base 1.507 * [taylor]: Taking taylor expansion of base in base 1.514 * [taylor]: Taking taylor expansion of 0 in re 1.515 * [taylor]: Taking taylor expansion of 0 in base 1.515 * [taylor]: Taking taylor expansion of 0 in base 1.520 * [taylor]: Taking taylor expansion of 0 in re 1.520 * [taylor]: Taking taylor expansion of 0 in base 1.520 * [taylor]: Taking taylor expansion of 0 in base 1.522 * [taylor]: Taking taylor expansion of 0 in base 1.522 * * * [progress]: simplifying candidates 1.523 * [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)))) 1.525 * * [simplify]: iteration 0 : 62 enodes (cost 380 ) 1.534 * * [simplify]: iteration 1 : 103 enodes (cost 361 ) 1.549 * * [simplify]: iteration 2 : 221 enodes (cost 337 ) 1.611 * * [simplify]: iteration 3 : 620 enodes (cost 334 ) 1.859 * * [simplify]: iteration 4 : 1419 enodes (cost 330 ) 2.574 * * [simplify]: iteration done : 5000 enodes (cost 330 ) 2.574 * [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))) (- (atan2 im re)) (- (log 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)) 2.575 * * * [progress]: adding candidates to table 2.641 * * [progress]: iteration 3 / 4 2.641 * * * [progress]: picking best candidate 2.683 * * * * [pick]: Picked # 2.683 * * * [progress]: localizing error 2.691 * * * [progress]: generating rewritten candidates 2.691 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.698 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 2.706 * * * [progress]: generating series expansions 2.706 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.706 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (base im re) around 0 2.706 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 2.706 * [taylor]: Taking taylor expansion of (atan2 im re) in re 2.706 * [taylor]: Taking taylor expansion of (log base) in re 2.706 * [taylor]: Taking taylor expansion of base in re 2.706 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 2.706 * [taylor]: Taking taylor expansion of (atan2 im re) in im 2.706 * [taylor]: Taking taylor expansion of (log base) in im 2.706 * [taylor]: Taking taylor expansion of base in im 2.706 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 2.706 * [taylor]: Taking taylor expansion of (atan2 im re) in base 2.707 * [taylor]: Taking taylor expansion of (log base) in base 2.707 * [taylor]: Taking taylor expansion of base in base 2.708 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 2.708 * [taylor]: Taking taylor expansion of (atan2 im re) in base 2.708 * [taylor]: Taking taylor expansion of (log base) in base 2.708 * [taylor]: Taking taylor expansion of base in base 2.709 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 2.709 * [taylor]: Taking taylor expansion of (atan2 im re) in im 2.709 * [taylor]: Taking taylor expansion of (log base) in im 2.709 * [taylor]: Taking taylor expansion of base in im 2.709 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 2.709 * [taylor]: Taking taylor expansion of (atan2 im re) in re 2.709 * [taylor]: Taking taylor expansion of (log base) in re 2.709 * [taylor]: Taking taylor expansion of base in re 2.711 * [taylor]: Taking taylor expansion of 0 in im 2.711 * [taylor]: Taking taylor expansion of 0 in re 2.712 * [taylor]: Taking taylor expansion of 0 in re 2.715 * [taylor]: Taking taylor expansion of 0 in im 2.715 * [taylor]: Taking taylor expansion of 0 in re 2.715 * [taylor]: Taking taylor expansion of 0 in re 2.716 * [taylor]: Taking taylor expansion of 0 in re 2.716 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (base im re) around 0 2.716 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 2.716 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 2.716 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 2.716 * [taylor]: Taking taylor expansion of (/ 1 base) in re 2.716 * [taylor]: Taking taylor expansion of base in re 2.717 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 2.717 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 2.717 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 2.717 * [taylor]: Taking taylor expansion of (/ 1 base) in im 2.717 * [taylor]: Taking taylor expansion of base in im 2.717 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 2.717 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 2.717 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 2.717 * [taylor]: Taking taylor expansion of (/ 1 base) in base 2.717 * [taylor]: Taking taylor expansion of base in base 2.718 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 2.718 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 2.718 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 2.718 * [taylor]: Taking taylor expansion of (/ 1 base) in base 2.718 * [taylor]: Taking taylor expansion of base in base 2.719 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in im 2.719 * [taylor]: Taking taylor expansion of -1 in im 2.719 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 2.719 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 2.719 * [taylor]: Taking taylor expansion of (log base) in im 2.719 * [taylor]: Taking taylor expansion of base in im 2.720 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in re 2.720 * [taylor]: Taking taylor expansion of -1 in re 2.720 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 2.720 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 2.720 * [taylor]: Taking taylor expansion of (log base) in re 2.720 * [taylor]: Taking taylor expansion of base in re 2.722 * [taylor]: Taking taylor expansion of 0 in im 2.722 * [taylor]: Taking taylor expansion of 0 in re 2.723 * [taylor]: Taking taylor expansion of 0 in re 2.727 * [taylor]: Taking taylor expansion of 0 in im 2.727 * [taylor]: Taking taylor expansion of 0 in re 2.727 * [taylor]: Taking taylor expansion of 0 in re 2.729 * [taylor]: Taking taylor expansion of 0 in re 2.729 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (base im re) around 0 2.729 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 2.729 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 2.729 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 2.729 * [taylor]: Taking taylor expansion of (/ -1 base) in re 2.729 * [taylor]: Taking taylor expansion of -1 in re 2.729 * [taylor]: Taking taylor expansion of base in re 2.730 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 2.730 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 2.730 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 2.730 * [taylor]: Taking taylor expansion of (/ -1 base) in im 2.730 * [taylor]: Taking taylor expansion of -1 in im 2.730 * [taylor]: Taking taylor expansion of base in im 2.730 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 2.730 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 2.730 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 2.730 * [taylor]: Taking taylor expansion of (/ -1 base) in base 2.730 * [taylor]: Taking taylor expansion of -1 in base 2.730 * [taylor]: Taking taylor expansion of base in base 2.732 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 2.732 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 2.732 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 2.732 * [taylor]: Taking taylor expansion of (/ -1 base) in base 2.732 * [taylor]: Taking taylor expansion of -1 in base 2.732 * [taylor]: Taking taylor expansion of base in base 2.734 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in im 2.734 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 2.734 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 2.734 * [taylor]: Taking taylor expansion of (log -1) in im 2.734 * [taylor]: Taking taylor expansion of -1 in im 2.734 * [taylor]: Taking taylor expansion of (log base) in im 2.734 * [taylor]: Taking taylor expansion of base in im 2.735 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in re 2.735 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 2.735 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 2.735 * [taylor]: Taking taylor expansion of (log -1) in re 2.735 * [taylor]: Taking taylor expansion of -1 in re 2.736 * [taylor]: Taking taylor expansion of (log base) in re 2.736 * [taylor]: Taking taylor expansion of base in re 2.740 * [taylor]: Taking taylor expansion of 0 in im 2.740 * [taylor]: Taking taylor expansion of 0 in re 2.743 * [taylor]: Taking taylor expansion of 0 in re 2.755 * [taylor]: Taking taylor expansion of 0 in im 2.755 * [taylor]: Taking taylor expansion of 0 in re 2.755 * [taylor]: Taking taylor expansion of 0 in re 2.760 * [taylor]: Taking taylor expansion of 0 in re 2.760 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 2.760 * [approximate]: Taking taylor expansion of (/ (log base) (atan2 im re)) in (base im re) around 0 2.760 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in re 2.760 * [taylor]: Taking taylor expansion of (log base) in re 2.760 * [taylor]: Taking taylor expansion of base in re 2.760 * [taylor]: Taking taylor expansion of (atan2 im re) in re 2.760 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in im 2.760 * [taylor]: Taking taylor expansion of (log base) in im 2.760 * [taylor]: Taking taylor expansion of base in im 2.760 * [taylor]: Taking taylor expansion of (atan2 im re) in im 2.761 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in base 2.761 * [taylor]: Taking taylor expansion of (log base) in base 2.761 * [taylor]: Taking taylor expansion of base in base 2.761 * [taylor]: Taking taylor expansion of (atan2 im re) in base 2.762 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in base 2.762 * [taylor]: Taking taylor expansion of (log base) in base 2.762 * [taylor]: Taking taylor expansion of base in base 2.762 * [taylor]: Taking taylor expansion of (atan2 im re) in base 2.763 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in im 2.763 * [taylor]: Taking taylor expansion of (log base) in im 2.763 * [taylor]: Taking taylor expansion of base in im 2.763 * [taylor]: Taking taylor expansion of (atan2 im re) in im 2.763 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 im re)) in re 2.763 * [taylor]: Taking taylor expansion of (log base) in re 2.763 * [taylor]: Taking taylor expansion of base in re 2.763 * [taylor]: Taking taylor expansion of (atan2 im re) in re 2.764 * [taylor]: Taking taylor expansion of 0 in im 2.764 * [taylor]: Taking taylor expansion of 0 in re 2.765 * [taylor]: Taking taylor expansion of 0 in re 2.767 * [taylor]: Taking taylor expansion of 0 in im 2.767 * [taylor]: Taking taylor expansion of 0 in re 2.767 * [taylor]: Taking taylor expansion of 0 in re 2.768 * [taylor]: Taking taylor expansion of 0 in re 2.768 * [approximate]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in (base im re) around 0 2.768 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in re 2.768 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 2.768 * [taylor]: Taking taylor expansion of (/ 1 base) in re 2.768 * [taylor]: Taking taylor expansion of base in re 2.768 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 2.769 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in im 2.769 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 2.769 * [taylor]: Taking taylor expansion of (/ 1 base) in im 2.769 * [taylor]: Taking taylor expansion of base in im 2.769 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 2.769 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in base 2.769 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 2.769 * [taylor]: Taking taylor expansion of (/ 1 base) in base 2.769 * [taylor]: Taking taylor expansion of base in base 2.769 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 2.770 * [taylor]: Taking taylor expansion of (/ (log (/ 1 base)) (atan2 (/ 1 im) (/ 1 re))) in base 2.770 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 2.770 * [taylor]: Taking taylor expansion of (/ 1 base) in base 2.770 * [taylor]: Taking taylor expansion of base in base 2.771 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 2.771 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 (/ 1 im) (/ 1 re)))) in im 2.771 * [taylor]: Taking taylor expansion of -1 in im 2.771 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in im 2.771 * [taylor]: Taking taylor expansion of (log base) in im 2.771 * [taylor]: Taking taylor expansion of base in im 2.772 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 2.772 * [taylor]: Taking taylor expansion of (* -1 (/ (log base) (atan2 (/ 1 im) (/ 1 re)))) in re 2.772 * [taylor]: Taking taylor expansion of -1 in re 2.772 * [taylor]: Taking taylor expansion of (/ (log base) (atan2 (/ 1 im) (/ 1 re))) in re 2.772 * [taylor]: Taking taylor expansion of (log base) in re 2.772 * [taylor]: Taking taylor expansion of base in re 2.772 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 2.774 * [taylor]: Taking taylor expansion of 0 in im 2.774 * [taylor]: Taking taylor expansion of 0 in re 2.775 * [taylor]: Taking taylor expansion of 0 in re 2.778 * [taylor]: Taking taylor expansion of 0 in im 2.778 * [taylor]: Taking taylor expansion of 0 in re 2.778 * [taylor]: Taking taylor expansion of 0 in re 2.780 * [taylor]: Taking taylor expansion of 0 in re 2.780 * [approximate]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in (base im re) around 0 2.780 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in re 2.780 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 2.780 * [taylor]: Taking taylor expansion of (/ -1 base) in re 2.780 * [taylor]: Taking taylor expansion of -1 in re 2.780 * [taylor]: Taking taylor expansion of base in re 2.780 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 2.781 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in im 2.781 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 2.781 * [taylor]: Taking taylor expansion of (/ -1 base) in im 2.781 * [taylor]: Taking taylor expansion of -1 in im 2.781 * [taylor]: Taking taylor expansion of base in im 2.781 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 2.781 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 2.781 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 2.781 * [taylor]: Taking taylor expansion of (/ -1 base) in base 2.781 * [taylor]: Taking taylor expansion of -1 in base 2.781 * [taylor]: Taking taylor expansion of base in base 2.781 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 2.783 * [taylor]: Taking taylor expansion of (/ (log (/ -1 base)) (atan2 (/ -1 im) (/ -1 re))) in base 2.783 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 2.783 * [taylor]: Taking taylor expansion of (/ -1 base) in base 2.783 * [taylor]: Taking taylor expansion of -1 in base 2.783 * [taylor]: Taking taylor expansion of base in base 2.783 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 2.785 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in im 2.785 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 2.785 * [taylor]: Taking taylor expansion of (log -1) in im 2.785 * [taylor]: Taking taylor expansion of -1 in im 2.785 * [taylor]: Taking taylor expansion of (log base) in im 2.785 * [taylor]: Taking taylor expansion of base in im 2.785 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 2.786 * [taylor]: Taking taylor expansion of (/ (- (log -1) (log base)) (atan2 (/ -1 im) (/ -1 re))) in re 2.786 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 2.786 * [taylor]: Taking taylor expansion of (log -1) in re 2.786 * [taylor]: Taking taylor expansion of -1 in re 2.786 * [taylor]: Taking taylor expansion of (log base) in re 2.786 * [taylor]: Taking taylor expansion of base in re 2.786 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 2.789 * [taylor]: Taking taylor expansion of 0 in im 2.789 * [taylor]: Taking taylor expansion of 0 in re 2.791 * [taylor]: Taking taylor expansion of 0 in re 2.796 * [taylor]: Taking taylor expansion of 0 in im 2.796 * [taylor]: Taking taylor expansion of 0 in re 2.796 * [taylor]: Taking taylor expansion of 0 in re 2.800 * [taylor]: Taking taylor expansion of 0 in re 2.801 * * * [progress]: simplifying candidates 2.803 * [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)) 2.808 * * [simplify]: iteration 0 : 162 enodes (cost 1850 ) 3.048 * * [simplify]: iteration 1 : 337 enodes (cost 1561 ) 3.106 * * [simplify]: iteration 2 : 772 enodes (cost 1382 ) 3.425 * * [simplify]: iteration 3 : 2097 enodes (cost 1346 ) 4.513 * * [simplify]: iteration done : 5001 enodes (cost 1346 ) 4.514 * [simplify]: Simplified to: -1 (log (/ (atan2 im re) (log base))) (log (/ (atan2 im re) (log base))) (log (/ (atan2 im re) (log base))) (log (/ (atan2 im re) (log base))) (log (/ (atan2 im re) (log base))) (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) (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 (- (/ (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (/ (cbrt (atan2 im re)) (log base)) (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))) (exp (/ (log base) (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 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)) (* (/ (cbrt (log base)) (cbrt (atan2 im re))) (/ (cbrt (log base)) (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)) 4.515 * * * [progress]: adding candidates to table 4.667 * * [progress]: iteration 4 / 4 4.668 * * * [progress]: picking best candidate 4.711 * * * * [pick]: Picked # 4.711 * * * [progress]: localizing error 4.720 * * * [progress]: generating rewritten candidates 4.720 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.733 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 4.736 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.762 * * * [progress]: generating series expansions 4.762 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.762 * [approximate]: Taking taylor expansion of (/ (atan2 im re) (log base)) in (base im re) around 0 4.762 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 4.762 * [taylor]: Taking taylor expansion of (atan2 im re) in re 4.762 * [taylor]: Taking taylor expansion of (log base) in re 4.762 * [taylor]: Taking taylor expansion of base in re 4.762 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 4.762 * [taylor]: Taking taylor expansion of (atan2 im re) in im 4.762 * [taylor]: Taking taylor expansion of (log base) in im 4.762 * [taylor]: Taking taylor expansion of base in im 4.762 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 4.762 * [taylor]: Taking taylor expansion of (atan2 im re) in base 4.762 * [taylor]: Taking taylor expansion of (log base) in base 4.762 * [taylor]: Taking taylor expansion of base in base 4.763 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in base 4.763 * [taylor]: Taking taylor expansion of (atan2 im re) in base 4.763 * [taylor]: Taking taylor expansion of (log base) in base 4.764 * [taylor]: Taking taylor expansion of base in base 4.764 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in im 4.764 * [taylor]: Taking taylor expansion of (atan2 im re) in im 4.764 * [taylor]: Taking taylor expansion of (log base) in im 4.765 * [taylor]: Taking taylor expansion of base in im 4.765 * [taylor]: Taking taylor expansion of (/ (atan2 im re) (log base)) in re 4.765 * [taylor]: Taking taylor expansion of (atan2 im re) in re 4.765 * [taylor]: Taking taylor expansion of (log base) in re 4.765 * [taylor]: Taking taylor expansion of base in re 4.766 * [taylor]: Taking taylor expansion of 0 in im 4.766 * [taylor]: Taking taylor expansion of 0 in re 4.767 * [taylor]: Taking taylor expansion of 0 in re 4.770 * [taylor]: Taking taylor expansion of 0 in im 4.770 * [taylor]: Taking taylor expansion of 0 in re 4.770 * [taylor]: Taking taylor expansion of 0 in re 4.771 * [taylor]: Taking taylor expansion of 0 in re 4.772 * [approximate]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in (base im re) around 0 4.772 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in re 4.772 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 4.772 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 4.772 * [taylor]: Taking taylor expansion of (/ 1 base) in re 4.772 * [taylor]: Taking taylor expansion of base in re 4.772 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in im 4.772 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 4.772 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 4.772 * [taylor]: Taking taylor expansion of (/ 1 base) in im 4.772 * [taylor]: Taking taylor expansion of base in im 4.772 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 4.772 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 4.772 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 4.772 * [taylor]: Taking taylor expansion of (/ 1 base) in base 4.772 * [taylor]: Taking taylor expansion of base in base 4.773 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log (/ 1 base))) in base 4.773 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in base 4.773 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 4.773 * [taylor]: Taking taylor expansion of (/ 1 base) in base 4.773 * [taylor]: Taking taylor expansion of base in base 4.775 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in im 4.775 * [taylor]: Taking taylor expansion of -1 in im 4.775 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in im 4.775 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 4.775 * [taylor]: Taking taylor expansion of (log base) in im 4.775 * [taylor]: Taking taylor expansion of base in im 4.775 * [taylor]: Taking taylor expansion of (* -1 (/ (atan2 (/ 1 im) (/ 1 re)) (log base))) in re 4.775 * [taylor]: Taking taylor expansion of -1 in re 4.775 * [taylor]: Taking taylor expansion of (/ (atan2 (/ 1 im) (/ 1 re)) (log base)) in re 4.775 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 4.775 * [taylor]: Taking taylor expansion of (log base) in re 4.775 * [taylor]: Taking taylor expansion of base in re 4.777 * [taylor]: Taking taylor expansion of 0 in im 4.777 * [taylor]: Taking taylor expansion of 0 in re 4.778 * [taylor]: Taking taylor expansion of 0 in re 4.782 * [taylor]: Taking taylor expansion of 0 in im 4.782 * [taylor]: Taking taylor expansion of 0 in re 4.782 * [taylor]: Taking taylor expansion of 0 in re 4.784 * [taylor]: Taking taylor expansion of 0 in re 4.784 * [approximate]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in (base im re) around 0 4.784 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in re 4.784 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 4.784 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 4.784 * [taylor]: Taking taylor expansion of (/ -1 base) in re 4.784 * [taylor]: Taking taylor expansion of -1 in re 4.784 * [taylor]: Taking taylor expansion of base in re 4.784 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in im 4.784 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 4.784 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 4.785 * [taylor]: Taking taylor expansion of (/ -1 base) in im 4.785 * [taylor]: Taking taylor expansion of -1 in im 4.785 * [taylor]: Taking taylor expansion of base in im 4.785 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 4.785 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 4.785 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 4.785 * [taylor]: Taking taylor expansion of (/ -1 base) in base 4.785 * [taylor]: Taking taylor expansion of -1 in base 4.785 * [taylor]: Taking taylor expansion of base in base 4.787 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (log (/ -1 base))) in base 4.787 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in base 4.787 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 4.787 * [taylor]: Taking taylor expansion of (/ -1 base) in base 4.787 * [taylor]: Taking taylor expansion of -1 in base 4.787 * [taylor]: Taking taylor expansion of base in base 4.789 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in im 4.789 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 4.789 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in im 4.789 * [taylor]: Taking taylor expansion of (log -1) in im 4.789 * [taylor]: Taking taylor expansion of -1 in im 4.789 * [taylor]: Taking taylor expansion of (log base) in im 4.789 * [taylor]: Taking taylor expansion of base in im 4.790 * [taylor]: Taking taylor expansion of (/ (atan2 (/ -1 im) (/ -1 re)) (- (log -1) (log base))) in re 4.790 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 4.790 * [taylor]: Taking taylor expansion of (- (log -1) (log base)) in re 4.790 * [taylor]: Taking taylor expansion of (log -1) in re 4.790 * [taylor]: Taking taylor expansion of -1 in re 4.790 * [taylor]: Taking taylor expansion of (log base) in re 4.790 * [taylor]: Taking taylor expansion of base in re 4.794 * [taylor]: Taking taylor expansion of 0 in im 4.795 * [taylor]: Taking taylor expansion of 0 in re 4.797 * [taylor]: Taking taylor expansion of 0 in re 4.804 * [taylor]: Taking taylor expansion of 0 in im 4.804 * [taylor]: Taking taylor expansion of 0 in re 4.804 * [taylor]: Taking taylor expansion of 0 in re 4.809 * [taylor]: Taking taylor expansion of 0 in re 4.809 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 4.809 * [approximate]: Taking taylor expansion of (/ 1 (log base)) in (base) around 0 4.809 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 4.809 * [taylor]: Taking taylor expansion of (log base) in base 4.809 * [taylor]: Taking taylor expansion of base in base 4.810 * [taylor]: Taking taylor expansion of (/ 1 (log base)) in base 4.810 * [taylor]: Taking taylor expansion of (log base) in base 4.810 * [taylor]: Taking taylor expansion of base in base 4.855 * [approximate]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in (base) around 0 4.855 * [taylor]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in base 4.855 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 4.855 * [taylor]: Taking taylor expansion of (/ 1 base) in base 4.855 * [taylor]: Taking taylor expansion of base in base 4.856 * [taylor]: Taking taylor expansion of (/ 1 (log (/ 1 base))) in base 4.856 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 4.856 * [taylor]: Taking taylor expansion of (/ 1 base) in base 4.856 * [taylor]: Taking taylor expansion of base in base 4.899 * [approximate]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in (base) around 0 4.899 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 4.899 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 4.899 * [taylor]: Taking taylor expansion of (/ -1 base) in base 4.899 * [taylor]: Taking taylor expansion of -1 in base 4.899 * [taylor]: Taking taylor expansion of base in base 4.901 * [taylor]: Taking taylor expansion of (/ 1 (log (/ -1 base))) in base 4.901 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 4.901 * [taylor]: Taking taylor expansion of (/ -1 base) in base 4.901 * [taylor]: Taking taylor expansion of -1 in base 4.901 * [taylor]: Taking taylor expansion of base in base 4.964 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.964 * [approximate]: Taking taylor expansion of (/ 1 (atan2 im re)) in (im re) around 0 4.964 * [taylor]: Taking taylor expansion of (/ 1 (atan2 im re)) in re 4.964 * [taylor]: Taking taylor expansion of (atan2 im re) in re 4.964 * [taylor]: Taking taylor expansion of (/ 1 (atan2 im re)) in im 4.964 * [taylor]: Taking taylor expansion of (atan2 im re) in im 4.964 * [taylor]: Taking taylor expansion of (/ 1 (atan2 im re)) in im 4.964 * [taylor]: Taking taylor expansion of (atan2 im re) in im 4.964 * [taylor]: Taking taylor expansion of (/ 1 (atan2 im re)) in re 4.964 * [taylor]: Taking taylor expansion of (atan2 im re) in re 4.965 * [taylor]: Taking taylor expansion of 0 in re 4.965 * [taylor]: Taking taylor expansion of 0 in re 4.965 * [taylor]: Taking taylor expansion of 0 in re 4.965 * [approximate]: Taking taylor expansion of (/ 1 (atan2 (/ 1 im) (/ 1 re))) in (im re) around 0 4.965 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ 1 im) (/ 1 re))) in re 4.965 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 4.966 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ 1 im) (/ 1 re))) in im 4.966 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 4.966 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ 1 im) (/ 1 re))) in im 4.966 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in im 4.966 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ 1 im) (/ 1 re))) in re 4.966 * [taylor]: Taking taylor expansion of (atan2 (/ 1 im) (/ 1 re)) in re 4.966 * [taylor]: Taking taylor expansion of 0 in re 4.967 * [taylor]: Taking taylor expansion of 0 in re 4.967 * [taylor]: Taking taylor expansion of 0 in re 4.967 * [approximate]: Taking taylor expansion of (/ 1 (atan2 (/ -1 im) (/ -1 re))) in (im re) around 0 4.967 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ -1 im) (/ -1 re))) in re 4.967 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 4.968 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ -1 im) (/ -1 re))) in im 4.968 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 4.968 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ -1 im) (/ -1 re))) in im 4.968 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in im 4.968 * [taylor]: Taking taylor expansion of (/ 1 (atan2 (/ -1 im) (/ -1 re))) in re 4.968 * [taylor]: Taking taylor expansion of (atan2 (/ -1 im) (/ -1 re)) in re 4.968 * [taylor]: Taking taylor expansion of 0 in re 4.968 * [taylor]: Taking taylor expansion of 0 in re 4.969 * [taylor]: Taking taylor expansion of 0 in re 4.969 * * * [progress]: simplifying candidates 4.974 * [simplify]: Simplifying using # : (- (- (log (log base))) (- (log (atan2 im re)))) (- (- (log (log base))) (- 0 (log (atan2 im re)))) (- (- (log (log base))) (- (log 1) (log (atan2 im re)))) (- (- (log (log base))) (log (/ 1 (atan2 im re)))) (- (- 0 (log (log base))) (- (log (atan2 im re)))) (- (- 0 (log (log base))) (- 0 (log (atan2 im re)))) (- (- 0 (log (log base))) (- (log 1) (log (atan2 im re)))) (- (- 0 (log (log base))) (log (/ 1 (atan2 im re)))) (- (- (log 1) (log (log base))) (- (log (atan2 im re)))) (- (- (log 1) (log (log base))) (- 0 (log (atan2 im re)))) (- (- (log 1) (log (log base))) (- (log 1) (log (atan2 im re)))) (- (- (log 1) (log (log base))) (log (/ 1 (atan2 im re)))) (- (log (/ 1 (log base))) (- (log (atan2 im re)))) (- (log (/ 1 (log base))) (- 0 (log (atan2 im re)))) (- (log (/ 1 (log base))) (- (log 1) (log (atan2 im re)))) (- (log (/ 1 (log base))) (log (/ 1 (atan2 im re)))) (log (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (exp (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (/ (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))) (/ (* (* 1 1) 1) (* (* (atan2 im re) (atan2 im re)) (atan2 im re)))) (/ (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))) (* (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))) (/ 1 (atan2 im re)))) (/ (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (/ (* (* 1 1) 1) (* (* (atan2 im re) (atan2 im re)) (atan2 im re)))) (/ (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (* (* (/ 1 (atan2 im re)) (/ 1 (atan2 im re))) (/ 1 (atan2 im re)))) (* (cbrt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (cbrt (/ (/ 1 (log base)) (/ 1 (atan2 im re))))) (cbrt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (* (* (/ (/ 1 (log base)) (/ 1 (atan2 im re))) (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (sqrt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (sqrt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))) (- (/ 1 (log base))) (- (/ 1 (atan2 im re))) (/ (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base)))) (* (cbrt (/ 1 (atan2 im re))) (cbrt (/ 1 (atan2 im re))))) (/ (cbrt (/ 1 (log base))) (cbrt (/ 1 (atan2 im re)))) (/ (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base)))) (sqrt (/ 1 (atan2 im re)))) (/ (cbrt (/ 1 (log base))) (sqrt (/ 1 (atan2 im re)))) (/ (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (atan2 im re)) (cbrt (atan2 im re))))) (/ (cbrt (/ 1 (log 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(cbrt (atan2 im re))) (/ 1 (sqrt (atan2 im re))) 1 (atan2 im re) (atan2 im re) (atan2 im re) (/ (atan2 im re) (log base)) (- (/ (atan2 im re) (- (log base)))) (/ (atan2 im re) (+ (log base) 0)) (/ 1 (log base)) (/ -1 (- (log base))) (/ 1 (+ (log base) 0)) (/ 1 (atan2 im re)) (/ 1 (atan2 im re)) (/ 1 (atan2 im re)) 7.505 * * * [progress]: adding candidates to table 7.757 * [progress]: [Phase 3 of 3] Extracting. 7.757 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 7.760 * * * [regime-changes]: Trying 4 branch expressions: ((log base) base im re) 7.760 * * * * [regimes]: Trying to branch on (log base) from (# # # # # # # # # #) 7.803 * * * * [regimes]: Trying to branch on base from (# # # # # # # # # #) 7.842 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 7.882 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 7.923 * * * [regime]: Found split indices: #