13.506 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.119 * * * [progress]: [2/2] Setting up program. 0.122 * [progress]: [Phase 2 of 3] Improving. 0.122 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.124 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.126 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.127 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.130 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.133 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.137 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.145 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.157 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.198 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.198 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.201 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.229 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.258 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.258 * [taylor]: Taking taylor expansion of (exp im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.258 * [taylor]: Taking taylor expansion of (- im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.259 * [taylor]: Taking taylor expansion of (exp im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.259 * [taylor]: Taking taylor expansion of (- im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.274 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.275 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.275 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.275 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.275 * [taylor]: Taking taylor expansion of im in im 0.277 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.277 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.277 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.277 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.277 * [taylor]: Taking taylor expansion of -1 in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.278 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.278 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.278 * [taylor]: Taking taylor expansion of -1 in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.280 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.281 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.281 * [taylor]: Taking taylor expansion of 0.5 in im 0.281 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.281 * [taylor]: Taking taylor expansion of (cos re) in im 0.281 * [taylor]: Taking taylor expansion of re in im 0.281 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.281 * [taylor]: Taking taylor expansion of (exp im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.281 * [taylor]: Taking taylor expansion of (- im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.281 * [taylor]: Taking taylor expansion of 0.5 in re 0.281 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.281 * [taylor]: Taking taylor expansion of (cos re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.281 * [taylor]: Taking taylor expansion of (exp im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.281 * [taylor]: Taking taylor expansion of (- im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.282 * [taylor]: Taking taylor expansion of 0.5 in re 0.282 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.282 * [taylor]: Taking taylor expansion of (cos re) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.282 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.282 * [taylor]: Taking taylor expansion of (exp im) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.282 * [taylor]: Taking taylor expansion of (- im) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.282 * [taylor]: Taking taylor expansion of 0.5 in im 0.282 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.282 * [taylor]: Taking taylor expansion of (exp im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.282 * [taylor]: Taking taylor expansion of (- im) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.291 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.291 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.291 * [taylor]: Taking taylor expansion of 0.25 in im 0.291 * [taylor]: Taking taylor expansion of (exp im) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.291 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.291 * [taylor]: Taking taylor expansion of 0.25 in im 0.292 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.292 * [taylor]: Taking taylor expansion of (- im) in im 0.292 * [taylor]: Taking taylor expansion of im in im 0.302 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.302 * [taylor]: Taking taylor expansion of 0.5 in im 0.302 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.302 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.302 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.302 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.303 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.303 * [taylor]: Taking taylor expansion of im in im 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.303 * [taylor]: Taking taylor expansion of 0.5 in re 0.303 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.303 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.304 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.304 * [taylor]: Taking taylor expansion of 0.5 in re 0.304 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.304 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.304 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.304 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.305 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.305 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.305 * [taylor]: Taking taylor expansion of 0.5 in im 0.305 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.305 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.305 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.305 * [taylor]: Taking taylor expansion of re in im 0.305 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.305 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.305 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.305 * [taylor]: Taking taylor expansion of im in im 0.306 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.306 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.306 * [taylor]: Taking taylor expansion of im in im 0.309 * [taylor]: Taking taylor expansion of 0 in im 0.315 * [taylor]: Taking taylor expansion of 0 in im 0.323 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.324 * [taylor]: Taking taylor expansion of 0.5 in im 0.324 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.324 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.324 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.324 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.324 * [taylor]: Taking taylor expansion of -1 in im 0.324 * [taylor]: Taking taylor expansion of im in im 0.324 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.324 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.324 * [taylor]: Taking taylor expansion of im in im 0.325 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.325 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.325 * [taylor]: Taking taylor expansion of -1 in im 0.325 * [taylor]: Taking taylor expansion of re in im 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.325 * [taylor]: Taking taylor expansion of 0.5 in re 0.325 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.325 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.325 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.325 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.325 * [taylor]: Taking taylor expansion of -1 in re 0.325 * [taylor]: Taking taylor expansion of im in re 0.325 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.325 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.325 * [taylor]: Taking taylor expansion of im in re 0.325 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.325 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.325 * [taylor]: Taking taylor expansion of -1 in re 0.325 * [taylor]: Taking taylor expansion of re in re 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.326 * [taylor]: Taking taylor expansion of 0.5 in re 0.326 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.326 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.326 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.326 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.326 * [taylor]: Taking taylor expansion of -1 in re 0.326 * [taylor]: Taking taylor expansion of im in re 0.326 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.326 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.326 * [taylor]: Taking taylor expansion of im in re 0.326 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.326 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.326 * [taylor]: Taking taylor expansion of -1 in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.327 * [taylor]: Taking taylor expansion of 0.5 in im 0.327 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.327 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.327 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.327 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.327 * [taylor]: Taking taylor expansion of -1 in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.327 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.327 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.327 * [taylor]: Taking taylor expansion of -1 in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (+ (+ (log 0.5) (log (cos re))) (log (+ (exp (- im)) (exp im)))) (+ (log (* 0.5 (cos re))) (log (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im)))) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (exp (- im))) (* (* 0.5 (cos re)) (exp im)) (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) 1) (* (* 0.5 (cos re)) 1) (* (cos re) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* 0.5 (cos re)) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im)))) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) (* 0.5 (* (+ (exp (* -1 im)) (exp im)) (cos re))) 0.347 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.353 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.379 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.380 * [simplify]: Simplified to: (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (exp (+ im im)) (- (pow (exp im) -2) 1)) (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (expm1 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log1p (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (log (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (exp (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (* (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))) (cbrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (pow (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 3) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (sqrt (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (* (* 0.5 (cos re)) (sqrt (+ (exp (- im)) (exp im)))) (* 0.5 (cos re)) (* 0.5 (cos re)) (* (cos re) (+ (exp im) (exp (- im)))) (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (* (* (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (cos re)) 0.5) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.381 * * * [progress]: adding candidates to table 0.497 * * [progress]: iteration 2 / 4 0.497 * * * [progress]: picking best candidate 0.499 * * * * [pick]: Picked # 0.499 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.515 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.527 * * * [progress]: generating series expansions 0.527 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.527 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in (re im) around 0 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.527 * [taylor]: Taking taylor expansion of 0.5 in im 0.527 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.527 * [taylor]: Taking taylor expansion of (cos re) in im 0.527 * [taylor]: Taking taylor expansion of re in im 0.527 * [taylor]: Taking taylor expansion of (exp im) in im 0.527 * [taylor]: Taking taylor expansion of im in im 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.528 * [taylor]: Taking taylor expansion of 0.5 in re 0.528 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.528 * [taylor]: Taking taylor expansion of (cos re) in re 0.528 * [taylor]: Taking taylor expansion of re in re 0.528 * [taylor]: Taking taylor expansion of (exp im) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.528 * [taylor]: Taking taylor expansion of 0.5 in re 0.528 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.528 * [taylor]: Taking taylor expansion of (cos re) in re 0.528 * [taylor]: Taking taylor expansion of re in re 0.528 * [taylor]: Taking taylor expansion of (exp im) in re 0.528 * [taylor]: Taking taylor expansion of im in re 0.528 * [taylor]: Taking taylor expansion of (/ 0.5 (exp im)) in im 0.529 * [taylor]: Taking taylor expansion of 0.5 in im 0.529 * [taylor]: Taking taylor expansion of (exp im) in im 0.529 * [taylor]: Taking taylor expansion of im in im 0.530 * [taylor]: Taking taylor expansion of 0 in im 0.535 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (exp im)))) in im 0.535 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.535 * [taylor]: Taking taylor expansion of 0.25 in im 0.535 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.535 * [taylor]: Taking taylor expansion of (exp im) in im 0.535 * [taylor]: Taking taylor expansion of im in im 0.536 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 0.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.537 * [taylor]: Taking taylor expansion of 0.5 in im 0.537 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.537 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.537 * [taylor]: Taking taylor expansion of 0.5 in re 0.537 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.537 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.538 * [taylor]: Taking taylor expansion of im in re 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.538 * [taylor]: Taking taylor expansion of 0.5 in re 0.538 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.538 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.538 * [taylor]: Taking taylor expansion of im in re 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.539 * [taylor]: Taking taylor expansion of 0.5 in im 0.539 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.539 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.539 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.539 * [taylor]: Taking taylor expansion of re in im 0.539 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.539 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.541 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.550 * [taylor]: Taking taylor expansion of 0 in im 0.550 * [approximate]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.550 * [taylor]: Taking taylor expansion of 0.5 in im 0.550 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.550 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.550 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.550 * [taylor]: Taking taylor expansion of -1 in im 0.550 * [taylor]: Taking taylor expansion of re in im 0.551 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.551 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.551 * [taylor]: Taking taylor expansion of -1 in im 0.551 * [taylor]: Taking taylor expansion of im in im 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.551 * [taylor]: Taking taylor expansion of 0.5 in re 0.551 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.551 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.551 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.551 * [taylor]: Taking taylor expansion of -1 in re 0.552 * [taylor]: Taking taylor expansion of re in re 0.552 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.552 * [taylor]: Taking taylor expansion of -1 in re 0.552 * [taylor]: Taking taylor expansion of im in re 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.552 * [taylor]: Taking taylor expansion of 0.5 in re 0.552 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.552 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.552 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.552 * [taylor]: Taking taylor expansion of -1 in re 0.552 * [taylor]: Taking taylor expansion of re in re 0.552 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.552 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.553 * [taylor]: Taking taylor expansion of -1 in re 0.553 * [taylor]: Taking taylor expansion of im in re 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.553 * [taylor]: Taking taylor expansion of 0.5 in im 0.553 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.553 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.553 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.553 * [taylor]: Taking taylor expansion of -1 in im 0.553 * [taylor]: Taking taylor expansion of re in im 0.553 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.553 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.553 * [taylor]: Taking taylor expansion of -1 in im 0.553 * [taylor]: Taking taylor expansion of im in im 0.555 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.564 * [taylor]: Taking taylor expansion of 0 in im 0.565 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.565 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in (re im) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in im 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in im 0.565 * [taylor]: Taking taylor expansion of 0.5 in im 0.565 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 0.565 * [taylor]: Taking taylor expansion of (exp im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (cos re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in im 0.565 * [taylor]: Taking taylor expansion of 0.5 in im 0.565 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 0.565 * [taylor]: Taking taylor expansion of (cos re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of (exp im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.566 * [taylor]: Taking taylor expansion of (exp im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (cos re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.566 * [taylor]: Taking taylor expansion of (cos re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (exp im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp im) (cos re))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 0.566 * [taylor]: Taking taylor expansion of (exp im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (cos re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos re) (exp im))) in re 0.566 * [taylor]: Taking taylor expansion of 0.5 in re 0.566 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 0.566 * [taylor]: Taking taylor expansion of (cos re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (exp im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (exp im))) (* 0.5 (exp im))) in im 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (exp im))) in im 0.566 * [taylor]: Taking taylor expansion of 0.5 in im 0.566 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.566 * [taylor]: Taking taylor expansion of (exp im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (exp im)) in im 0.567 * [taylor]: Taking taylor expansion of 0.5 in im 0.567 * [taylor]: Taking taylor expansion of (exp im) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.570 * [taylor]: Taking taylor expansion of 0 in im 0.578 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im)))) in im 0.578 * [taylor]: Taking taylor expansion of (+ (* 0.25 (/ 1 (exp im))) (* 0.25 (exp im))) in im 0.578 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (exp im))) in im 0.578 * [taylor]: Taking taylor expansion of 0.25 in im 0.578 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 0.578 * [taylor]: Taking taylor expansion of (exp im) in im 0.578 * [taylor]: Taking taylor expansion of im in im 0.578 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.578 * [taylor]: Taking taylor expansion of 0.25 in im 0.578 * [taylor]: Taking taylor expansion of (exp im) in im 0.578 * [taylor]: Taking taylor expansion of im in im 0.585 * [approximate]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in (re im) around 0 0.585 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.585 * [taylor]: Taking taylor expansion of 0.5 in im 0.585 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.585 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.585 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.585 * [taylor]: Taking taylor expansion of re in im 0.585 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.585 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.585 * [taylor]: Taking taylor expansion of im in im 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.586 * [taylor]: Taking taylor expansion of 0.5 in im 0.586 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.586 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.586 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.586 * [taylor]: Taking taylor expansion of re in im 0.586 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.586 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.587 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.587 * [taylor]: Taking taylor expansion of 0.5 in re 0.587 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.587 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.587 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.587 * [taylor]: Taking taylor expansion of im in re 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.587 * [taylor]: Taking taylor expansion of 0.5 in re 0.587 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.587 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.588 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.588 * [taylor]: Taking taylor expansion of im in re 0.588 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in re 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.588 * [taylor]: Taking taylor expansion of 0.5 in re 0.588 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 0.588 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.588 * [taylor]: Taking taylor expansion of re in re 0.588 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.588 * [taylor]: Taking taylor expansion of im in re 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in re 0.588 * [taylor]: Taking taylor expansion of 0.5 in re 0.588 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 0.588 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.588 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.588 * [taylor]: Taking taylor expansion of re in re 0.589 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.589 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.589 * [taylor]: Taking taylor expansion of im in re 0.589 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im))))) in im 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.589 * [taylor]: Taking taylor expansion of 0.5 in im 0.589 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 0.589 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.589 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.589 * [taylor]: Taking taylor expansion of re in im 0.589 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.589 * [taylor]: Taking taylor expansion of im in im 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ 1 re)) (exp (/ 1 im)))) in im 0.590 * [taylor]: Taking taylor expansion of 0.5 in im 0.590 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 0.590 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.590 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.590 * [taylor]: Taking taylor expansion of re in im 0.590 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.590 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.590 * [taylor]: Taking taylor expansion of im in im 0.594 * [taylor]: Taking taylor expansion of 0 in im 0.607 * [taylor]: Taking taylor expansion of 0 in im 0.618 * [taylor]: Taking taylor expansion of 0 in im 0.619 * [approximate]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in (re im) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.619 * [taylor]: Taking taylor expansion of 0.5 in im 0.619 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.619 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.619 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.619 * [taylor]: Taking taylor expansion of -1 in im 0.619 * [taylor]: Taking taylor expansion of re in im 0.619 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.619 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.619 * [taylor]: Taking taylor expansion of -1 in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.620 * [taylor]: Taking taylor expansion of 0.5 in im 0.620 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.620 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.620 * [taylor]: Taking taylor expansion of -1 in im 0.620 * [taylor]: Taking taylor expansion of im in im 0.620 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.620 * [taylor]: Taking taylor expansion of -1 in im 0.621 * [taylor]: Taking taylor expansion of re in im 0.621 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.621 * [taylor]: Taking taylor expansion of 0.5 in re 0.621 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.621 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.621 * [taylor]: Taking taylor expansion of -1 in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.621 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.621 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.621 * [taylor]: Taking taylor expansion of -1 in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.621 * [taylor]: Taking taylor expansion of 0.5 in re 0.621 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.621 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.621 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.621 * [taylor]: Taking taylor expansion of -1 in re 0.621 * [taylor]: Taking taylor expansion of im in re 0.621 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.621 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.621 * [taylor]: Taking taylor expansion of -1 in re 0.621 * [taylor]: Taking taylor expansion of re in re 0.622 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in re 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in re 0.622 * [taylor]: Taking taylor expansion of 0.5 in re 0.622 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 0.622 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.622 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.622 * [taylor]: Taking taylor expansion of -1 in re 0.622 * [taylor]: Taking taylor expansion of re in re 0.622 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.622 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.622 * [taylor]: Taking taylor expansion of -1 in re 0.622 * [taylor]: Taking taylor expansion of im in re 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in re 0.622 * [taylor]: Taking taylor expansion of 0.5 in re 0.622 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in re 0.623 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.623 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.623 * [taylor]: Taking taylor expansion of -1 in re 0.623 * [taylor]: Taking taylor expansion of im in re 0.623 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.623 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.623 * [taylor]: Taking taylor expansion of -1 in re 0.623 * [taylor]: Taking taylor expansion of re in re 0.623 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re))))) in im 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (/ (cos (/ -1 re)) (exp (/ -1 im)))) in im 0.624 * [taylor]: Taking taylor expansion of 0.5 in im 0.624 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 0.624 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.624 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.624 * [taylor]: Taking taylor expansion of -1 in im 0.624 * [taylor]: Taking taylor expansion of re in im 0.624 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.624 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.624 * [taylor]: Taking taylor expansion of -1 in im 0.624 * [taylor]: Taking taylor expansion of im in im 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (exp (/ -1 im)) (cos (/ -1 re)))) in im 0.625 * [taylor]: Taking taylor expansion of 0.5 in im 0.625 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (cos (/ -1 re))) in im 0.625 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.625 * [taylor]: Taking taylor expansion of im in im 0.625 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.625 * [taylor]: Taking taylor expansion of -1 in im 0.625 * [taylor]: Taking taylor expansion of re in im 0.628 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.648 * [taylor]: Taking taylor expansion of 0 in im 0.648 * * * [progress]: simplifying candidates 0.649 * [simplify]: Simplifying using # : (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (+ (log 0.5) (log (cos re))) im) (- (log (* 0.5 (cos re))) im) (log (/ (* 0.5 (cos re)) (exp im))) (exp (/ (* 0.5 (cos re)) (exp im))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (exp im) (exp im)) (exp im))) (/ (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (* (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 0.5 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (/ (* 0.5 (cos re)) 1) (/ (exp im) (cos re)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (exp (/ (* 0.5 (cos re)) (exp im))) (exp (* (* 0.5 (cos re)) (exp im)))) (log (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (exp (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (* (* (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (+ (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (- (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (* (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (- (* (/ (* 0.5 (cos re)) (exp im)) (/ (* 0.5 (cos re)) (exp im))) (* (* (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (- (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (+ (* 0.25 (pow re 2)) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) (+ (* 0.5 (* (exp im) (cos re))) (* 0.5 (/ (cos re) (exp im)))) 0.653 * * [simplify]: iteration 0 : 249 enodes (cost 366 ) 0.658 * * [simplify]: iteration 1 : 1279 enodes (cost 315 ) 0.685 * * [simplify]: iteration 2 : 5002 enodes (cost 309 ) 0.687 * [simplify]: Simplified to: (expm1 (/ (* 0.5 (cos re)) (exp im))) (log1p (/ (* 0.5 (cos re)) (exp im))) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (- (log (* 0.5 (cos re))) im) (exp (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (* (cbrt (/ (* 0.5 (cos re)) (exp im))) (cbrt (/ (* 0.5 (cos re)) (exp im)))) (cbrt (/ (* 0.5 (cos re)) (exp im))) (pow (/ (* 0.5 (cos re)) (exp im)) 3) (sqrt (/ (* 0.5 (cos re)) (exp im))) (sqrt (/ (* 0.5 (cos re)) (exp im))) (- (* 0.5 (cos re))) (- (exp im)) (/ 0.5 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 0.5 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 0.5 (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (* 0.5 (cos re)) (sqrt (exp im))) (* 0.5 (cos re)) (/ (exp im) (cos re)) (expm1 (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (log1p (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (exp 0.5) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (log (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im))))) (pow (exp 0.5) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (* (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))))) (cbrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (pow (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) 3) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (sqrt (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))) (+ (pow (/ (* 0.5 (cos re)) (exp im)) 3) (pow (* (* 0.5 (cos re)) (exp im)) 3)) (fma 0.5 (* (* (exp im) (cos re)) (* 0.5 (- (* (exp im) (cos re)) (/ (cos re) (exp im))))) (/ (* (* 0.5 (cos re)) (* 0.5 (cos re))) (exp (+ im im)))) (* (* (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) 0.5) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (* (cos re) (- (/ 0.5 (exp im)) (* 0.5 (exp im)))) (+ (/ 1 (exp im)) (exp im)) (- 0.5 (fma 0.25 (pow re 2) (* 0.5 im))) (* 0.5 (/ (cos re) (exp im))) (* 0.5 (/ (cos re) (exp im))) (fma (pow im 2) 0.5 (- 1.0 (* 0.5 (pow re 2)))) (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) (* 0.5 (fma (cos re) (exp im) (/ (cos re) (exp im)))) 0.687 * * * [progress]: adding candidates to table 0.812 * [progress]: [Phase 3 of 3] Extracting. 0.814 * [simplify]: Simplifying using # : (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) 0.814 * * [simplify]: iteration 0 : 12 enodes (cost 9 ) 0.814 * * [simplify]: iteration 1 : 12 enodes (cost 9 ) 0.814 * [simplify]: Simplified to: (+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im))) 4.827 * [regime-testing]: End program error score: 0.009376172021502687