19.299 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.135 * * * [progress]: [2/2] Setting up program. 0.137 * [progress]: [Phase 2 of 3] Improving. 0.138 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.140 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.141 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.143 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.145 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.148 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.152 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.160 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.171 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.208 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.208 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.221 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 3) 0.225 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.229 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 3) 0.231 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 0.231 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.231 * [taylor]: Taking taylor expansion of 0.5 in im 0.231 * [taylor]: Taking taylor expansion of (exp im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.232 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.232 * [taylor]: Taking taylor expansion of 0.5 in im 0.232 * [taylor]: Taking taylor expansion of (exp im) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.239 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 0.239 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.239 * [taylor]: Taking taylor expansion of 0.5 in im 0.239 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.239 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.239 * [taylor]: Taking taylor expansion of im in im 0.239 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.239 * [taylor]: Taking taylor expansion of 0.5 in im 0.239 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.239 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.239 * [taylor]: Taking taylor expansion of im in im 0.241 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.241 * [taylor]: Taking taylor expansion of 0.5 in im 0.241 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.242 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.242 * [taylor]: Taking taylor expansion of -1 in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.242 * [taylor]: Taking taylor expansion of 0.5 in im 0.242 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.242 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.242 * [taylor]: Taking taylor expansion of -1 in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.244 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.244 * [approximate]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in (im re) around 0 0.244 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in re 0.244 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in re 0.244 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in re 0.244 * [taylor]: Taking taylor expansion of 0.5 in re 0.244 * [taylor]: Taking taylor expansion of (exp im) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in re 0.244 * [taylor]: Taking taylor expansion of 0.5 in re 0.244 * [taylor]: Taking taylor expansion of (exp im) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [taylor]: Taking taylor expansion of (cos re) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.245 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.245 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (exp im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (exp im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (cos re) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.245 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.245 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (exp im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.245 * [taylor]: Taking taylor expansion of 0.5 in im 0.245 * [taylor]: Taking taylor expansion of (exp im) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.246 * [taylor]: Taking taylor expansion of (cos re) in im 0.246 * [taylor]: Taking taylor expansion of re in im 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 0.247 * [taylor]: Taking taylor expansion of 1.0 in re 0.247 * [taylor]: Taking taylor expansion of (cos re) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.257 * [taylor]: Taking taylor expansion of 0 in re 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 0.266 * [taylor]: Taking taylor expansion of 0.5 in re 0.266 * [taylor]: Taking taylor expansion of (cos re) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.269 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in (im re) around 0 0.269 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in re 0.269 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in re 0.269 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.269 * [taylor]: Taking taylor expansion of 0.5 in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re 0.269 * [taylor]: Taking taylor expansion of 0.5 in re 0.269 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.270 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.270 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.270 * [taylor]: Taking taylor expansion of re in im 0.270 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.270 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.270 * [taylor]: Taking taylor expansion of 0.5 in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.270 * [taylor]: Taking taylor expansion of 0.5 in im 0.270 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.271 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.271 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.271 * [taylor]: Taking taylor expansion of 0.5 in im 0.271 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.272 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) in re 0.272 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.273 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in re 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ 1 im)))) in re 0.273 * [taylor]: Taking taylor expansion of 0.5 in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.273 * [taylor]: Taking taylor expansion of 0.5 in re 0.273 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.276 * [taylor]: Taking taylor expansion of 0 in re 0.282 * [taylor]: Taking taylor expansion of 0 in re 0.290 * [taylor]: Taking taylor expansion of 0 in re 0.290 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in (im re) around 0 0.290 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in re 0.290 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.290 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.290 * [taylor]: Taking taylor expansion of -1 in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in re 0.291 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.291 * [taylor]: Taking taylor expansion of 0.5 in re 0.291 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.291 * [taylor]: Taking taylor expansion of -1 in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in re 0.291 * [taylor]: Taking taylor expansion of 0.5 in re 0.291 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.291 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.291 * [taylor]: Taking taylor expansion of -1 in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.291 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.291 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.291 * [taylor]: Taking taylor expansion of -1 in im 0.291 * [taylor]: Taking taylor expansion of re in im 0.291 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.291 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.291 * [taylor]: Taking taylor expansion of 0.5 in im 0.291 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.291 * [taylor]: Taking taylor expansion of -1 in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.292 * [taylor]: Taking taylor expansion of 0.5 in im 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.292 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.292 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.292 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.292 * [taylor]: Taking taylor expansion of 0.5 in im 0.292 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.292 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.292 * [taylor]: Taking taylor expansion of -1 in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.293 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.293 * [taylor]: Taking taylor expansion of 0.5 in im 0.293 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.293 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.293 * [taylor]: Taking taylor expansion of -1 in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.294 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) (cos (/ -1 re))) in re 0.294 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) in re 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.294 * [taylor]: Taking taylor expansion of 0.5 in re 0.294 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [taylor]: Taking taylor expansion of im in re 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ -1 im)))) in re 0.294 * [taylor]: Taking taylor expansion of 0.5 in re 0.294 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 0.294 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.294 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [taylor]: Taking taylor expansion of im in re 0.294 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.294 * [taylor]: Taking taylor expansion of -1 in re 0.294 * [taylor]: Taking taylor expansion of re in re 0.298 * [taylor]: Taking taylor expansion of 0 in re 0.303 * [taylor]: Taking taylor expansion of 0 in re 0.311 * [taylor]: Taking taylor expansion of 0 in re 0.311 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.311 * [approximate]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in (im) around 0 0.311 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.311 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.312 * [taylor]: Taking taylor expansion of 0.5 in im 0.312 * [taylor]: Taking taylor expansion of (exp im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.312 * [taylor]: Taking taylor expansion of 0.5 in im 0.312 * [taylor]: Taking taylor expansion of (exp im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.312 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.312 * [taylor]: Taking taylor expansion of 0.5 in im 0.312 * [taylor]: Taking taylor expansion of (exp im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.312 * [taylor]: Taking taylor expansion of 0.5 in im 0.312 * [taylor]: Taking taylor expansion of (exp im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.336 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in (im) around 0 0.336 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.336 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.336 * [taylor]: Taking taylor expansion of 0.5 in im 0.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.336 * [taylor]: Taking taylor expansion of 0.5 in im 0.336 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.337 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.337 * [taylor]: Taking taylor expansion of 0.5 in im 0.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.337 * [taylor]: Taking taylor expansion of 0.5 in im 0.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.346 * [approximate]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in (im) around 0 0.346 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.346 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.346 * [taylor]: Taking taylor expansion of 0.5 in im 0.346 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.346 * [taylor]: Taking taylor expansion of -1 in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.346 * [taylor]: Taking taylor expansion of 0.5 in im 0.346 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.346 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.346 * [taylor]: Taking taylor expansion of -1 in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.347 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.347 * [taylor]: Taking taylor expansion of 0.5 in im 0.347 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.347 * [taylor]: Taking taylor expansion of -1 in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.347 * [taylor]: Taking taylor expansion of 0.5 in im 0.347 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.347 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.347 * [taylor]: Taking taylor expansion of -1 in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.356 * * * [progress]: simplifying candidates 0.357 * [simplify]: Simplifying using # : (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (+ (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log (cos re))) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (* (cos re) (cos re)) (cos re))) (* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) 1) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (expm1 (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log1p (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (exp (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) (+ (* 1.3877787807814457e-17 (pow im 3)) (+ (* 0.5 (pow im 2)) 1.0)) (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) 0.361 * * [simplify]: iteration 0 : 215 enodes (cost 417 ) 0.365 * * [simplify]: iteration 1 : 712 enodes (cost 366 ) 0.380 * * [simplify]: iteration 2 : 4318 enodes (cost 366 ) 0.475 * * [simplify]: iteration 3 : 5001 enodes (cost 364 ) 0.477 * [simplify]: Simplified to: (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log1p (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (log (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (* (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))) (cbrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (sqrt (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (sqrt (cos re))) (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (expm1 (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log1p (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* 0.5 (exp im)) (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (exp (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (pow (fma 0.5 (exp im) (/ 0.5 (exp im))) 3) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma 0.5 (- (pow im 2) (pow re 2)) 1.0) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (fma 1.3877787807814457e-17 (pow im 3) (fma 0.5 (pow im 2) 1.0)) (fma 0.5 (exp im) (/ 0.5 (exp im))) (fma 0.5 (exp im) (/ 0.5 (exp im))) 0.477 * * * [progress]: adding candidates to table 0.633 * * [progress]: iteration 2 / 4 0.633 * * * [progress]: picking best candidate 0.638 * * * * [pick]: Picked # 0.638 * * * [progress]: localizing error 0.651 * * * [progress]: generating rewritten candidates 0.651 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 3) 0.655 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 3) 0.659 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.664 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.674 * * * [progress]: generating series expansions 0.674 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 3) 0.674 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 0.674 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.674 * [taylor]: Taking taylor expansion of 0.5 in im 0.674 * [taylor]: Taking taylor expansion of (exp im) in im 0.674 * [taylor]: Taking taylor expansion of im in im 0.675 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.675 * [taylor]: Taking taylor expansion of 0.5 in im 0.675 * [taylor]: Taking taylor expansion of (exp im) in im 0.675 * [taylor]: Taking taylor expansion of im in im 0.682 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 0.682 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.682 * [taylor]: Taking taylor expansion of 0.5 in im 0.682 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.682 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.682 * [taylor]: Taking taylor expansion of 0.5 in im 0.682 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.682 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.682 * [taylor]: Taking taylor expansion of im in im 0.684 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 0.684 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.684 * [taylor]: Taking taylor expansion of 0.5 in im 0.684 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.684 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.684 * [taylor]: Taking taylor expansion of -1 in im 0.684 * [taylor]: Taking taylor expansion of im in im 0.685 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.685 * [taylor]: Taking taylor expansion of 0.5 in im 0.685 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.685 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.685 * [taylor]: Taking taylor expansion of -1 in im 0.685 * [taylor]: Taking taylor expansion of im in im 0.687 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 3) 0.687 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 0.687 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.687 * [taylor]: Taking taylor expansion of 0.5 in im 0.687 * [taylor]: Taking taylor expansion of (exp im) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.687 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.687 * [taylor]: Taking taylor expansion of 0.5 in im 0.687 * [taylor]: Taking taylor expansion of (exp im) in im 0.687 * [taylor]: Taking taylor expansion of im in im 0.694 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 0.694 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.694 * [taylor]: Taking taylor expansion of 0.5 in im 0.694 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.694 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.694 * [taylor]: Taking taylor expansion of im in im 0.695 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.695 * [taylor]: Taking taylor expansion of 0.5 in im 0.695 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.695 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.695 * [taylor]: Taking taylor expansion of im in im 0.697 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 0.697 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.697 * [taylor]: Taking taylor expansion of 0.5 in im 0.697 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.697 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.697 * [taylor]: Taking taylor expansion of 0.5 in im 0.697 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.697 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.697 * [taylor]: Taking taylor expansion of -1 in im 0.697 * [taylor]: Taking taylor expansion of im in im 0.699 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.699 * [approximate]: Taking taylor expansion of (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) in (im re) around 0 0.700 * [taylor]: Taking taylor expansion of (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) in re 0.700 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) in re 0.700 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in re 0.700 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in re 0.700 * [taylor]: Taking taylor expansion of 0.5 in re 0.700 * [taylor]: Taking taylor expansion of (exp im) in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.700 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in re 0.700 * [taylor]: Taking taylor expansion of 0.5 in re 0.700 * [taylor]: Taking taylor expansion of (exp im) in re 0.700 * [taylor]: Taking taylor expansion of im in re 0.702 * [taylor]: Taking taylor expansion of (cos re) in re 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [taylor]: Taking taylor expansion of (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) in im 0.702 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) in im 0.702 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.702 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.702 * [taylor]: Taking taylor expansion of 0.5 in im 0.702 * [taylor]: Taking taylor expansion of (exp im) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.702 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.702 * [taylor]: Taking taylor expansion of 0.5 in im 0.702 * [taylor]: Taking taylor expansion of (exp im) in im 0.702 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (cos re) in im 0.708 * [taylor]: Taking taylor expansion of re in im 0.708 * [taylor]: Taking taylor expansion of (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) in im 0.708 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) in im 0.708 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.708 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.708 * [taylor]: Taking taylor expansion of 0.5 in im 0.708 * [taylor]: Taking taylor expansion of (exp im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.708 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.708 * [taylor]: Taking taylor expansion of 0.5 in im 0.708 * [taylor]: Taking taylor expansion of (exp im) in im 0.708 * [taylor]: Taking taylor expansion of im in im 0.713 * [taylor]: Taking taylor expansion of (cos re) in im 0.714 * [taylor]: Taking taylor expansion of re in im 0.714 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (cos re)) in re 0.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in re 0.714 * [taylor]: Taking taylor expansion of 1.0 in re 0.715 * [taylor]: Taking taylor expansion of (cos re) in re 0.715 * [taylor]: Taking taylor expansion of re in re 0.718 * [taylor]: Taking taylor expansion of 0 in re 0.730 * [taylor]: Taking taylor expansion of (* 0.25 (/ (cos re) (sqrt 1.0))) in re 0.730 * [taylor]: Taking taylor expansion of 0.25 in re 0.730 * [taylor]: Taking taylor expansion of (/ (cos re) (sqrt 1.0)) in re 0.730 * [taylor]: Taking taylor expansion of (cos re) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [taylor]: Taking taylor expansion of (sqrt 1.0) in re 0.730 * [taylor]: Taking taylor expansion of 1.0 in re 0.746 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))))) in (im re) around 0 0.746 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))))) in re 0.746 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.746 * [taylor]: Taking taylor expansion of re in re 0.746 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in re 0.746 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in re 0.746 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.746 * [taylor]: Taking taylor expansion of 0.5 in re 0.746 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.746 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re 0.746 * [taylor]: Taking taylor expansion of 0.5 in re 0.746 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.746 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.746 * [taylor]: Taking taylor expansion of im in re 0.749 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))))) in im 0.749 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.749 * [taylor]: Taking taylor expansion of re in im 0.749 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.749 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.749 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.749 * [taylor]: Taking taylor expansion of 0.5 in im 0.749 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.749 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.749 * [taylor]: Taking taylor expansion of im in im 0.750 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.750 * [taylor]: Taking taylor expansion of 0.5 in im 0.750 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.750 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.751 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))))) in im 0.751 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.751 * [taylor]: Taking taylor expansion of re in im 0.751 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.751 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.751 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.751 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.751 * [taylor]: Taking taylor expansion of 0.5 in im 0.751 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.752 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.752 * [taylor]: Taking taylor expansion of 0.5 in im 0.752 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.752 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.752 * [taylor]: Taking taylor expansion of im in im 0.754 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (sqrt (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))))) in re 0.754 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.754 * [taylor]: Taking taylor expansion of re in re 0.754 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) in re 0.754 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in re 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ 1 im)))) in re 0.754 * [taylor]: Taking taylor expansion of 0.5 in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.754 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.754 * [taylor]: Taking taylor expansion of im in re 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.754 * [taylor]: Taking taylor expansion of 0.5 in re 0.754 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.754 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.754 * [taylor]: Taking taylor expansion of im in re 0.759 * [taylor]: Taking taylor expansion of 0 in re 0.764 * [taylor]: Taking taylor expansion of 0 in re 0.773 * [taylor]: Taking taylor expansion of 0 in re 0.773 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))))) in (im re) around 0 0.773 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))))) in re 0.773 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.773 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.773 * [taylor]: Taking taylor expansion of -1 in re 0.773 * [taylor]: Taking taylor expansion of re in re 0.774 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in re 0.774 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in re 0.774 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.774 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.774 * [taylor]: Taking taylor expansion of 0.5 in re 0.774 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.774 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.774 * [taylor]: Taking taylor expansion of -1 in re 0.774 * [taylor]: Taking taylor expansion of im in re 0.774 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in re 0.774 * [taylor]: Taking taylor expansion of 0.5 in re 0.774 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.774 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.774 * [taylor]: Taking taylor expansion of -1 in re 0.774 * [taylor]: Taking taylor expansion of im in re 0.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))))) in im 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.777 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.777 * [taylor]: Taking taylor expansion of -1 in im 0.777 * [taylor]: Taking taylor expansion of re in im 0.777 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.777 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.777 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.777 * [taylor]: Taking taylor expansion of 0.5 in im 0.777 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.777 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.777 * [taylor]: Taking taylor expansion of -1 in im 0.777 * [taylor]: Taking taylor expansion of im in im 0.778 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.778 * [taylor]: Taking taylor expansion of 0.5 in im 0.778 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.778 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.778 * [taylor]: Taking taylor expansion of -1 in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.779 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))))) in im 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.779 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.779 * [taylor]: Taking taylor expansion of -1 in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [taylor]: Taking taylor expansion of (sqrt (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.779 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.779 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.779 * [taylor]: Taking taylor expansion of 0.5 in im 0.779 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.779 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.780 * [taylor]: Taking taylor expansion of -1 in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.780 * [taylor]: Taking taylor expansion of 0.5 in im 0.780 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.780 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.780 * [taylor]: Taking taylor expansion of -1 in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.782 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im)))))) (cos (/ -1 re))) in re 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im)))))) in re 0.782 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) in re 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.782 * [taylor]: Taking taylor expansion of 0.5 in re 0.782 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ -1 im)))) in re 0.782 * [taylor]: Taking taylor expansion of 0.5 in re 0.782 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 0.782 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.782 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.782 * [taylor]: Taking taylor expansion of -1 in re 0.782 * [taylor]: Taking taylor expansion of im in re 0.785 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.785 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.785 * [taylor]: Taking taylor expansion of -1 in re 0.785 * [taylor]: Taking taylor expansion of re in re 0.788 * [taylor]: Taking taylor expansion of 0 in re 0.792 * [taylor]: Taking taylor expansion of 0 in re 0.801 * [taylor]: Taking taylor expansion of 0 in re 0.802 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.802 * [approximate]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in (im re) around 0 0.802 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in re 0.802 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in re 0.802 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.802 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in re 0.802 * [taylor]: Taking taylor expansion of 0.5 in re 0.802 * [taylor]: Taking taylor expansion of (exp im) in re 0.802 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in re 0.802 * [taylor]: Taking taylor expansion of 0.5 in re 0.802 * [taylor]: Taking taylor expansion of (exp im) in re 0.802 * [taylor]: Taking taylor expansion of im in re 0.802 * [taylor]: Taking taylor expansion of (cos re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.802 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.802 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.802 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.802 * [taylor]: Taking taylor expansion of 0.5 in im 0.803 * [taylor]: Taking taylor expansion of (exp im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.803 * [taylor]: Taking taylor expansion of 0.5 in im 0.803 * [taylor]: Taking taylor expansion of (exp im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (cos re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [taylor]: Taking taylor expansion of (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) in im 0.803 * [taylor]: Taking taylor expansion of (fma 0.5 (exp im) (/ 0.5 (exp im))) in im 0.803 * [taylor]: Rewrote expression to (+ (* 0.5 (exp im)) (/ 0.5 (exp im))) 0.803 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.803 * [taylor]: Taking taylor expansion of 0.5 in im 0.803 * [taylor]: Taking taylor expansion of (exp im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.803 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.803 * [taylor]: Taking taylor expansion of 0.5 in im 0.803 * [taylor]: Taking taylor expansion of (exp im) in im 0.803 * [taylor]: Taking taylor expansion of im in im 0.804 * [taylor]: Taking taylor expansion of (cos re) in im 0.804 * [taylor]: Taking taylor expansion of re in im 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (cos re)) in re 0.805 * [taylor]: Taking taylor expansion of 1.0 in re 0.805 * [taylor]: Taking taylor expansion of (cos re) in re 0.805 * [taylor]: Taking taylor expansion of re in re 0.811 * [taylor]: Taking taylor expansion of 0 in re 0.820 * [taylor]: Taking taylor expansion of (* 0.5 (cos re)) in re 0.820 * [taylor]: Taking taylor expansion of 0.5 in re 0.820 * [taylor]: Taking taylor expansion of (cos re) in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.828 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in (im re) around 0 0.828 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in re 0.828 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.828 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in re 0.829 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.829 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.829 * [taylor]: Taking taylor expansion of 0.5 in re 0.829 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.829 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in re 0.829 * [taylor]: Taking taylor expansion of 0.5 in re 0.829 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.829 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.829 * [taylor]: Taking taylor expansion of im in re 0.829 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.829 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.829 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.829 * [taylor]: Taking taylor expansion of re in im 0.829 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.829 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.829 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.829 * [taylor]: Taking taylor expansion of 0.5 in im 0.829 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.829 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.829 * [taylor]: Taking taylor expansion of im in im 0.830 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.830 * [taylor]: Taking taylor expansion of 0.5 in im 0.830 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.830 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im))))) in im 0.830 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ 1 im)) (/ 0.5 (exp (/ 1 im)))) in im 0.830 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ 1 im))) (/ 0.5 (exp (/ 1 im)))) 0.830 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in im 0.830 * [taylor]: Taking taylor expansion of 0.5 in im 0.830 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.831 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 0.831 * [taylor]: Taking taylor expansion of 0.5 in im 0.831 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.831 * [taylor]: Taking taylor expansion of im in im 0.832 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im))))) in re 0.832 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.832 * [taylor]: Taking taylor expansion of re in re 0.832 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp (/ 1 im)))) (* 0.5 (exp (/ 1 im)))) in re 0.832 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ 1 im)))) in re 0.832 * [taylor]: Taking taylor expansion of 0.5 in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in re 0.832 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ 1 im))) in re 0.832 * [taylor]: Taking taylor expansion of 0.5 in re 0.832 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.835 * [taylor]: Taking taylor expansion of 0 in re 0.841 * [taylor]: Taking taylor expansion of 0 in re 0.849 * [taylor]: Taking taylor expansion of 0 in re 0.850 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in (im re) around 0 0.850 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in re 0.850 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.850 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.850 * [taylor]: Taking taylor expansion of -1 in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in re 0.850 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.851 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.851 * [taylor]: Taking taylor expansion of 0.5 in re 0.851 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.851 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.851 * [taylor]: Taking taylor expansion of -1 in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in re 0.851 * [taylor]: Taking taylor expansion of 0.5 in re 0.851 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.851 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.851 * [taylor]: Taking taylor expansion of -1 in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.851 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.851 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.851 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.851 * [taylor]: Taking taylor expansion of -1 in im 0.851 * [taylor]: Taking taylor expansion of re in im 0.851 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.851 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.851 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.851 * [taylor]: Taking taylor expansion of 0.5 in im 0.851 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.851 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.851 * [taylor]: Taking taylor expansion of -1 in im 0.851 * [taylor]: Taking taylor expansion of im in im 0.852 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.852 * [taylor]: Taking taylor expansion of 0.5 in im 0.852 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.852 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.852 * [taylor]: Taking taylor expansion of -1 in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.852 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im))))) in im 0.852 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.852 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.852 * [taylor]: Taking taylor expansion of -1 in im 0.852 * [taylor]: Taking taylor expansion of re in im 0.852 * [taylor]: Taking taylor expansion of (fma 0.5 (exp (/ -1 im)) (/ 0.5 (exp (/ -1 im)))) in im 0.852 * [taylor]: Rewrote expression to (+ (* 0.5 (exp (/ -1 im))) (/ 0.5 (exp (/ -1 im)))) 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in im 0.852 * [taylor]: Taking taylor expansion of 0.5 in im 0.852 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.852 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.852 * [taylor]: Taking taylor expansion of -1 in im 0.852 * [taylor]: Taking taylor expansion of im in im 0.853 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 0.853 * [taylor]: Taking taylor expansion of 0.5 in im 0.853 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.853 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.853 * [taylor]: Taking taylor expansion of -1 in im 0.853 * [taylor]: Taking taylor expansion of im in im 0.854 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) (cos (/ -1 re))) in re 0.854 * [taylor]: Taking taylor expansion of (+ (* 0.5 (exp (/ -1 im))) (* 0.5 (/ 1 (exp (/ -1 im))))) in re 0.854 * [taylor]: Taking taylor expansion of (* 0.5 (exp (/ -1 im))) in re 0.854 * [taylor]: Taking taylor expansion of 0.5 in re 0.854 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.854 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.854 * [taylor]: Taking taylor expansion of -1 in re 0.854 * [taylor]: Taking taylor expansion of im in re 0.854 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp (/ -1 im)))) in re 0.854 * [taylor]: Taking taylor expansion of 0.5 in re 0.854 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in re 0.854 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.854 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.854 * [taylor]: Taking taylor expansion of -1 in re 0.854 * [taylor]: Taking taylor expansion of im in re 0.854 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.854 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.854 * [taylor]: Taking taylor expansion of -1 in re 0.854 * [taylor]: Taking taylor expansion of re in re 0.858 * [taylor]: Taking taylor expansion of 0 in re 0.863 * [taylor]: Taking taylor expansion of 0 in re 0.871 * [taylor]: Taking taylor expansion of 0 in re 0.872 * * * [progress]: simplifying candidates 0.873 * [simplify]: Simplifying using # : (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (log1p (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (+ (log (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (log (cos re))) (log (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (exp (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (* (cos re) (cos re)) (cos re))) (* (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) 1) (* (cbrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (expm1 (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (log1p (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (+ (log (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (+ (log (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (log (cos re)))) (+ (log (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (log (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (log (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (exp (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (* (cos re) (cos re)) (cos re)))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (* (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (cbrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.25 (/ (pow im 2) (sqrt 1.0))) (sqrt 1.0)) (* 1/2 (* (pow re 2) (sqrt 1.0)))) (* (sqrt (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im)))) (cos re)) (* (sqrt (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im)))) (cos re)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) (* (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) (cos re)) 0.879 * * [simplify]: iteration 0 : 276 enodes (cost 882 ) 0.884 * * [simplify]: iteration 1 : 1007 enodes (cost 758 ) 0.904 * * [simplify]: iteration 2 : 4823 enodes (cost 758 ) 1.013 * * [simplify]: iteration 3 : 5001 enodes (cost 756 ) 1.016 * [simplify]: Simplified to: (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (log1p (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (log (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (log (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (exp (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (pow (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) 3) (* (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (pow (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) 3) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (sqrt (cos re))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (cos re)) (cbrt (cos re)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (sqrt (cos re))) (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (cbrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (expm1 (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (log1p (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (+ (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log (cos re))) (+ (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log (cos re))) (+ (log (fma 0.5 (exp im) (/ 0.5 (exp im)))) (log (cos re))) (pow (exp (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (* (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))))) (cbrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (pow (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 3) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (sqrt (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)))) (fma 0.5 (exp im) (/ 0.5 (exp im))) (* (cbrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (cbrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (sqrt (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma 0.25 (/ (pow im 2) (sqrt 1.0)) (- (sqrt 1.0) (* 1/2 (* (pow re 2) (sqrt 1.0))))) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (cos re)) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 1.017 * * * [progress]: adding candidates to table 1.362 * * [progress]: iteration 3 / 4 1.362 * * * [progress]: picking best candidate 1.366 * * * * [pick]: Picked # 1.366 * * * [progress]: localizing error 1.382 * * * [progress]: generating rewritten candidates 1.383 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 3) 1.388 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 3 1 1) 1.392 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 3) 1.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 3 1) 1.407 * * * [progress]: generating series expansions 1.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 3) 1.407 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 1.407 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.407 * [taylor]: Taking taylor expansion of 0.5 in im 1.407 * [taylor]: Taking taylor expansion of (exp im) in im 1.407 * [taylor]: Taking taylor expansion of im in im 1.408 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.408 * [taylor]: Taking taylor expansion of 0.5 in im 1.408 * [taylor]: Taking taylor expansion of (exp im) in im 1.408 * [taylor]: Taking taylor expansion of im in im 1.416 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 1.416 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.416 * [taylor]: Taking taylor expansion of 0.5 in im 1.416 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.416 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.416 * [taylor]: Taking taylor expansion of 0.5 in im 1.416 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.416 * [taylor]: Taking taylor expansion of im in im 1.418 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 1.418 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.418 * [taylor]: Taking taylor expansion of 0.5 in im 1.418 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.418 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.418 * [taylor]: Taking taylor expansion of -1 in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.419 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.419 * [taylor]: Taking taylor expansion of 0.5 in im 1.419 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.419 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.419 * [taylor]: Taking taylor expansion of -1 in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.421 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 3 1 1) 1.421 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 1.421 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.421 * [taylor]: Taking taylor expansion of 0.5 in im 1.421 * [taylor]: Taking taylor expansion of (exp im) in im 1.421 * [taylor]: Taking taylor expansion of im in im 1.422 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.422 * [taylor]: Taking taylor expansion of 0.5 in im 1.422 * [taylor]: Taking taylor expansion of (exp im) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.429 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 1.429 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.429 * [taylor]: Taking taylor expansion of 0.5 in im 1.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.429 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.429 * [taylor]: Taking taylor expansion of 0.5 in im 1.429 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.429 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.429 * [taylor]: Taking taylor expansion of im in im 1.431 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 1.431 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.432 * [taylor]: Taking taylor expansion of 0.5 in im 1.432 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.432 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.432 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.432 * [taylor]: Taking taylor expansion of 0.5 in im 1.432 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.432 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.432 * [taylor]: Taking taylor expansion of -1 in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.434 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 3) 1.434 * [approximate]: Taking taylor expansion of (/ 0.5 (exp im)) in (im) around 0 1.434 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.434 * [taylor]: Taking taylor expansion of 0.5 in im 1.434 * [taylor]: Taking taylor expansion of (exp im) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.435 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.435 * [taylor]: Taking taylor expansion of 0.5 in im 1.435 * [taylor]: Taking taylor expansion of (exp im) in im 1.435 * [taylor]: Taking taylor expansion of im in im 1.442 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in (im) around 0 1.442 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.442 * [taylor]: Taking taylor expansion of 0.5 in im 1.442 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.442 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.442 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.442 * [taylor]: Taking taylor expansion of 0.5 in im 1.442 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.442 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.442 * [taylor]: Taking taylor expansion of im in im 1.444 * [approximate]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in (im) around 0 1.444 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.444 * [taylor]: Taking taylor expansion of 0.5 in im 1.444 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.444 * [taylor]: Taking taylor expansion of -1 in im 1.444 * [taylor]: Taking taylor expansion of im in im 1.445 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.445 * [taylor]: Taking taylor expansion of 0.5 in im 1.445 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.445 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.445 * [taylor]: Taking taylor expansion of -1 in im 1.445 * [taylor]: Taking taylor expansion of im in im 1.447 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 3 1) 1.447 * [approximate]: Taking taylor expansion of (exp (/ 0.5 (exp im))) in (im) around 0 1.447 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp im))) in im 1.447 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.447 * [taylor]: Taking taylor expansion of 0.5 in im 1.447 * [taylor]: Taking taylor expansion of (exp im) in im 1.447 * [taylor]: Taking taylor expansion of im in im 1.447 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp im))) in im 1.448 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 1.448 * [taylor]: Taking taylor expansion of 0.5 in im 1.448 * [taylor]: Taking taylor expansion of (exp im) in im 1.448 * [taylor]: Taking taylor expansion of im in im 1.464 * [approximate]: Taking taylor expansion of (exp (/ 0.5 (exp (/ 1 im)))) in (im) around 0 1.464 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp (/ 1 im)))) in im 1.464 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.464 * [taylor]: Taking taylor expansion of 0.5 in im 1.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.464 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp (/ 1 im)))) in im 1.464 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ 1 im))) in im 1.464 * [taylor]: Taking taylor expansion of 0.5 in im 1.464 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.464 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.475 * [approximate]: Taking taylor expansion of (exp (/ 0.5 (exp (/ -1 im)))) in (im) around 0 1.475 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp (/ -1 im)))) in im 1.475 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.475 * [taylor]: Taking taylor expansion of 0.5 in im 1.475 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [taylor]: Taking taylor expansion of im in im 1.475 * [taylor]: Taking taylor expansion of (exp (/ 0.5 (exp (/ -1 im)))) in im 1.475 * [taylor]: Taking taylor expansion of (/ 0.5 (exp (/ -1 im))) in im 1.475 * [taylor]: Taking taylor expansion of 0.5 in im 1.475 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.475 * [taylor]: Taking taylor expansion of -1 in im 1.475 * [taylor]: Taking taylor expansion of im in im 1.485 * * * [progress]: simplifying candidates 1.492 * [simplify]: Simplifying using # : (expm1 (log (exp (/ 0.5 (exp im))))) (log1p (log (exp (/ 0.5 (exp im))))) (log (* (cbrt (exp (/ 0.5 (exp im)))) (cbrt (exp (/ 0.5 (exp im)))))) (log (cbrt (exp (/ 0.5 (exp im))))) (log (sqrt (exp (/ 0.5 (exp im))))) (log (sqrt (exp (/ 0.5 (exp im))))) (log 1) (log (exp (/ 0.5 (exp im)))) (log (exp (/ 0.5 (exp im)))) (log (exp (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))))) (log (exp (sqrt (/ 0.5 (exp im))))) (log (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))))) (log (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))))) (log (exp (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (log (exp (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))))) (log (exp (/ (sqrt 0.5) (sqrt (exp im))))) (log (exp (/ (sqrt 0.5) 1))) (log (exp (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))))) (log (exp (/ 1 (sqrt (exp im))))) (log (exp (/ 1 1))) (log (exp 1)) (log (exp 0.5)) (log (log (exp (/ 0.5 (exp im))))) (exp (log (exp (/ 0.5 (exp im))))) (* (cbrt (log (exp (/ 0.5 (exp im))))) (cbrt (log (exp (/ 0.5 (exp im)))))) (cbrt (log (exp (/ 0.5 (exp im))))) (* (* (log (exp (/ 0.5 (exp im)))) (log (exp (/ 0.5 (exp im))))) (log (exp (/ 0.5 (exp im))))) (sqrt (log (exp (/ 0.5 (exp im))))) (sqrt (log (exp (/ 0.5 (exp im))))) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (log (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) (/ (* (* 0.5 0.5) 0.5) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) 1) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ 1 1) (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) (/ 0.5 1) (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (exp (/ 0.5 (exp im)))) (log1p (exp (/ 0.5 (exp im)))) (exp (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))) (exp (sqrt (/ 0.5 (exp im)))) (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im)))) (exp (/ (* (cbrt 0.5) (cbrt 0.5)) 1)) (exp (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ (sqrt 0.5) (sqrt (exp im)))) (exp (/ (sqrt 0.5) 1)) (exp (/ 1 (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ 1 (sqrt (exp im)))) (exp (/ 1 1)) (exp 1) (exp 0.5) (log (exp (/ 0.5 (exp im)))) (exp (exp (/ 0.5 (exp im)))) (* (cbrt (exp (/ 0.5 (exp im)))) (cbrt (exp (/ 0.5 (exp im))))) (cbrt (exp (/ 0.5 (exp im)))) (* (* (exp (/ 0.5 (exp im))) (exp (/ 0.5 (exp im)))) (exp (/ 0.5 (exp im)))) (sqrt (exp (/ 0.5 (exp im)))) (sqrt (exp (/ 0.5 (exp im)))) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.25 (pow im 2)) 0.5) (* 0.5 im)) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (- (+ (* 0.375 (* (pow im 2) (exp 0.5))) (exp 0.5)) (* 0.5 (* im (exp 0.5)))) (exp (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) 1.496 * * [simplify]: iteration 0 : 183 enodes (cost 541 ) 1.499 * * [simplify]: iteration 1 : 480 enodes (cost 499 ) 1.506 * * [simplify]: iteration 2 : 1655 enodes (cost 495 ) 1.540 * * [simplify]: iteration 3 : 5001 enodes (cost 492 ) 1.543 * [simplify]: Simplified to: (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (* 2 (log (cbrt (exp (/ 0.5 (exp im)))))) (log (cbrt (exp (/ 0.5 (exp im))))) (log (sqrt (exp (/ 0.5 (exp im))))) (log (sqrt (exp (/ 0.5 (exp im))))) 0 (/ 0.5 (exp im)) (/ 0.5 (exp im)) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (sqrt (/ 0.5 (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (sqrt (exp im))) 1 1 0.5 (- (log 0.5) im) (exp (/ 0.5 (exp im))) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (/ 0.5 (exp im))) (log1p (/ 0.5 (exp im))) (- (log 0.5) im) (- (log 0.5) im) (exp (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im)))) (cbrt (/ 0.5 (exp im))) (pow (/ 0.5 (exp im)) 3) (sqrt (/ 0.5 (exp im))) (sqrt (/ 0.5 (exp im))) (- 0.5) (- (exp im)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 0.5) (cbrt (exp im))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im))) (/ (cbrt 0.5) (sqrt (exp im))) (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)) (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 0.5) (cbrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (/ (sqrt 0.5) (sqrt (exp im))) (sqrt 0.5) (/ (sqrt 0.5) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 0.5 (sqrt (exp im))) 1 (/ 0.5 (exp im)) (/ 1 (exp im)) (/ (exp im) 0.5) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 0.5 (sqrt (exp im))) 0.5 (/ (exp im) (cbrt 0.5)) (/ (exp im) (sqrt 0.5)) (/ (exp im) 0.5) (expm1 (exp (/ 0.5 (exp im)))) (log1p (exp (/ 0.5 (exp im)))) (exp (* (cbrt (/ 0.5 (exp im))) (cbrt (/ 0.5 (exp im))))) (exp (sqrt (/ 0.5 (exp im)))) (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt (exp im)))) (pow (exp (cbrt 0.5)) (cbrt 0.5)) (exp (/ (sqrt 0.5) (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ (sqrt 0.5) (sqrt (exp im)))) (exp (sqrt 0.5)) (exp (/ 1 (* (cbrt (exp im)) (cbrt (exp im))))) (exp (/ 1 (sqrt (exp im)))) E E (exp 0.5) (/ 0.5 (exp im)) (exp (exp (/ 0.5 (exp im)))) (* (cbrt (exp (/ 0.5 (exp im)))) (cbrt (exp (/ 0.5 (exp im))))) (cbrt (exp (/ 0.5 (exp im)))) (pow (exp (/ 0.5 (exp im))) 3) (sqrt (exp (/ 0.5 (exp im)))) (sqrt (exp (/ 0.5 (exp im)))) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (fma im (- (* 0.25 im) 0.5) 0.5) (/ 0.5 (exp im)) (/ 0.5 (exp im)) (* (exp 0.5) (- (fma (* 0.375 im) im 1) (* 0.5 im))) (exp (/ 0.5 (exp im))) (exp (/ 0.5 (exp im))) 1.544 * * * [progress]: adding candidates to table 1.978 * [progress]: [Phase 3 of 3] Extracting. 1.985 * [simplify]: Simplifying using # : (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (log (exp (/ 0.5 (exp im)))))) (cos re))) 1.986 * * [simplify]: iteration 0 : 16 enodes (cost 15 ) 1.986 * * [simplify]: iteration 1 : 16 enodes (cost 15 ) 1.986 * [simplify]: Simplified to: (* (sqrt (fma 0.5 (exp im) (/ 0.5 (exp im)))) (* (sqrt (fma 0.5 (exp im) (log (exp (/ 0.5 (exp im)))))) (cos re))) 4.813 * [regime-testing]: End program error score: 0.20359161457844488