17.058 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.110 * * * [progress]: [2/2] Setting up program. 0.112 * [progress]: [Phase 2 of 3] Improving. 0.113 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.115 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.116 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.118 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.120 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.123 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.127 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.135 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.146 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.184 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.184 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.209 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.241 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.241 * [taylor]: Taking taylor expansion of (exp im) in im 0.241 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.242 * [taylor]: Taking taylor expansion of (- im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.242 * [taylor]: Taking taylor expansion of (exp im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.242 * [taylor]: Taking taylor expansion of (- im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.257 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.257 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.257 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.259 * [taylor]: Taking taylor expansion of im in im 0.261 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.261 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.261 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.261 * [taylor]: Taking taylor expansion of -1 in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.261 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.261 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.261 * [taylor]: Taking taylor expansion of -1 in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.262 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.262 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.262 * [taylor]: Taking taylor expansion of im in im 0.264 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.264 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in (re im) around 0 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in im 0.264 * [taylor]: Taking taylor expansion of 0.5 in im 0.264 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in im 0.264 * [taylor]: Taking taylor expansion of (cos re) in im 0.264 * [taylor]: Taking taylor expansion of re in im 0.264 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.264 * [taylor]: Taking taylor expansion of (exp im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.264 * [taylor]: Taking taylor expansion of (- im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.265 * [taylor]: Taking taylor expansion of 0.5 in re 0.265 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.265 * [taylor]: Taking taylor expansion of (cos re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.265 * [taylor]: Taking taylor expansion of (exp im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.265 * [taylor]: Taking taylor expansion of (- im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp im) (exp (- im))))) in re 0.265 * [taylor]: Taking taylor expansion of 0.5 in re 0.265 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp im) (exp (- im)))) in re 0.265 * [taylor]: Taking taylor expansion of (cos re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in re 0.265 * [taylor]: Taking taylor expansion of (exp im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (exp (- im)) in re 0.265 * [taylor]: Taking taylor expansion of (- im) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp im) (exp (- im)))) in im 0.265 * [taylor]: Taking taylor expansion of 0.5 in im 0.265 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.265 * [taylor]: Taking taylor expansion of (exp im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.265 * [taylor]: Taking taylor expansion of (- im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp im)) (* 0.25 (exp (- im))))) in im 0.274 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp im)) (* 0.25 (exp (- im)))) in im 0.274 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 0.274 * [taylor]: Taking taylor expansion of 0.25 in im 0.274 * [taylor]: Taking taylor expansion of (exp im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 0.274 * [taylor]: Taking taylor expansion of 0.25 in im 0.274 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.274 * [taylor]: Taking taylor expansion of (- im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.280 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in (re im) around 0 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.280 * [taylor]: Taking taylor expansion of 0.5 in im 0.280 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.280 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.280 * [taylor]: Taking taylor expansion of re in im 0.281 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.281 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.281 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.282 * [taylor]: Taking taylor expansion of 0.5 in re 0.282 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.282 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.282 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.282 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.282 * [taylor]: Taking taylor expansion of im in re 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in re 0.282 * [taylor]: Taking taylor expansion of 0.5 in re 0.282 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in re 0.282 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.283 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 0.283 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.283 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im))))) in im 0.283 * [taylor]: Taking taylor expansion of 0.5 in im 0.283 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.283 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.283 * [taylor]: Taking taylor expansion of re in im 0.283 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.283 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.293 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [taylor]: Taking taylor expansion of 0 in im 0.306 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.306 * [taylor]: Taking taylor expansion of 0.5 in im 0.306 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.307 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.307 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.307 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.307 * [taylor]: Taking taylor expansion of -1 in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.307 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.307 * [taylor]: Taking taylor expansion of -1 in im 0.307 * [taylor]: Taking taylor expansion of re in im 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.307 * [taylor]: Taking taylor expansion of 0.5 in re 0.307 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.307 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.307 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.308 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.308 * [taylor]: Taking taylor expansion of -1 in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.308 * [taylor]: Taking taylor expansion of -1 in re 0.308 * [taylor]: Taking taylor expansion of re in re 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 0.308 * [taylor]: Taking taylor expansion of 0.5 in re 0.308 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 0.308 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 0.308 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 0.308 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.308 * [taylor]: Taking taylor expansion of -1 in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.308 * [taylor]: Taking taylor expansion of im in re 0.308 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 0.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.308 * [taylor]: Taking taylor expansion of -1 in re 0.308 * [taylor]: Taking taylor expansion of re in re 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 0.309 * [taylor]: Taking taylor expansion of 0.5 in im 0.309 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 0.309 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.309 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.309 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.309 * [taylor]: Taking taylor expansion of -1 in im 0.309 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.310 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 0.310 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.310 * [taylor]: Taking taylor expansion of -1 in im 0.310 * [taylor]: Taking taylor expansion of re in im 0.313 * [taylor]: Taking taylor expansion of 0 in im 0.318 * [taylor]: Taking taylor expansion of 0 in im 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.325 * * * [progress]: simplifying candidates 0.326 * [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))) 0.330 * * [simplify]: iteration 0 : 258 enodes (cost 374 ) 0.337 * * [simplify]: iteration 1 : 1276 enodes (cost 311 ) 0.364 * * [simplify]: iteration 2 : 5002 enodes (cost 307 ) 0.366 * [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))) 0.366 * * * [progress]: adding candidates to table 0.486 * * [progress]: iteration 2 / 4 0.486 * * * [progress]: picking best candidate 0.492 * * * * [pick]: Picked # 0.492 * * * [progress]: localizing error 0.511 * * * [progress]: generating rewritten candidates 0.511 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.522 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 0.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 0.532 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 0.540 * * * [progress]: generating series expansions 0.540 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.540 * [approximate]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in (im) around 0 0.541 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.541 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.541 * [taylor]: Taking taylor expansion of (exp im) in im 0.541 * [taylor]: Taking taylor expansion of im in im 0.541 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.541 * [taylor]: Taking taylor expansion of (exp im) in im 0.541 * [taylor]: Taking taylor expansion of im in im 0.541 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.541 * [taylor]: Taking taylor expansion of (- im) in im 0.541 * [taylor]: Taking taylor expansion of im in im 0.541 * [taylor]: Taking taylor expansion of (- (pow (exp im) 2) (* (exp im) (exp (- im)))) in im 0.542 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.542 * [taylor]: Taking taylor expansion of (exp im) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [taylor]: Taking taylor expansion of (* (exp im) (exp (- im))) in im 0.542 * [taylor]: Taking taylor expansion of (exp im) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.542 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.542 * [taylor]: Taking taylor expansion of (- im) in im 0.542 * [taylor]: Taking taylor expansion of im in im 0.558 * [approximate]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 0.558 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.558 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.558 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.558 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.558 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.558 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [taylor]: Taking taylor expansion of (- (pow (exp (/ 1 im)) 2) (* (exp (- (/ 1 im))) (exp (/ 1 im)))) in im 0.559 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.559 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.559 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (* (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.560 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.560 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.572 * [approximate]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in (im) around 0 0.572 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.572 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.573 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.573 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.573 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.573 * [taylor]: Taking taylor expansion of -1 in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.574 * [taylor]: Taking taylor expansion of (- (pow (exp (/ -1 im)) 2) (* (exp (/ -1 im)) (exp (/ 1 im)))) in im 0.574 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in im 0.574 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.574 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.574 * [taylor]: Taking taylor expansion of -1 in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ 1 im))) in im 0.574 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.574 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.574 * [taylor]: Taking taylor expansion of -1 in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.574 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.586 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 0.586 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.586 * [taylor]: Taking taylor expansion of (exp im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.586 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 0.586 * [taylor]: Taking taylor expansion of (exp im) in im 0.586 * [taylor]: Taking taylor expansion of im in im 0.590 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.590 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) 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 0.591 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.591 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.591 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.591 * [taylor]: Taking taylor expansion of im in im 0.600 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.600 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.600 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.600 * [taylor]: Taking taylor expansion of -1 in im 0.600 * [taylor]: Taking taylor expansion of im in im 0.601 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 0.601 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.601 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.601 * [taylor]: Taking taylor expansion of -1 in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.615 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 0.615 * [approximate]: Taking taylor expansion of (pow (exp im) 2) in (im) around 0 0.615 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.615 * [taylor]: Taking taylor expansion of (exp im) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.616 * [taylor]: Taking taylor expansion of (pow (exp im) 2) in im 0.616 * [taylor]: Taking taylor expansion of (exp im) in im 0.616 * [taylor]: Taking taylor expansion of im in im 0.618 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 0.618 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.618 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.619 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) 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 im in im 0.624 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) in (im) around 0 0.624 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 2) 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 (pow (exp (/ -1 im)) 2) 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 0.629 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 0.629 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 0.629 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.629 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.629 * [taylor]: Taking taylor expansion of (- im) in im 0.629 * [taylor]: Taking taylor expansion of im in im 0.629 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 0.629 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.629 * [taylor]: Taking taylor expansion of (- im) in im 0.630 * [taylor]: Taking taylor expansion of im in im 0.635 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 0.635 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.635 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.635 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.635 * [taylor]: Taking taylor expansion of im in im 0.635 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 0.635 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.636 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.645 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 0.645 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.645 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.645 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.645 * [taylor]: Taking taylor expansion of im in im 0.646 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 0.646 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.646 * [taylor]: Taking taylor expansion of im in im 0.655 * * * [progress]: simplifying candidates 0.657 * [simplify]: Simplifying using # : (fma (exp im) (exp im) (- (* (exp im) (exp (- im))))) (fma (- (exp im)) (exp (- im)) (* (exp im) (exp (- im)))) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp im))) (/ (exp (* (exp im) (exp im))) (exp (* (exp (- im)) (exp im)))) (log (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (exp (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (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)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (pow (* (exp im) (exp im)) 3) (pow (* (exp (- im)) (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))) (- (* (* (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))) (- (* (exp (- im)) (exp im))) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (expm1 (* (exp im) (exp im))) (log1p (* (exp im) (exp im))) (+ 1 1) (+ (cbrt im) (cbrt im)) (+ (sqrt im) (sqrt im)) (+ im im) (* (exp im) (exp im)) (* (exp (* (cbrt im) (cbrt im))) (exp (* (cbrt im) (cbrt im)))) (* (exp (sqrt im)) (exp (sqrt im))) (* (exp 1) (exp 1)) (+ 1 1) (+ im im) (log (* (exp im) (exp im))) (exp (* (exp im) (exp im))) (* (* (* (exp im) (exp im)) (exp im)) (* (* (exp im) (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))) (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 1 1) (* (exp im) (exp im)) (* (sqrt (exp im)) (sqrt (exp im))) (* (sqrt (exp im)) (sqrt (exp im))) (* 2 1) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* (exp im) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (sqrt (exp im))) (* (exp im) 1) (* (cbrt (exp im)) (exp im)) (* (sqrt (exp im)) (exp im)) (* (exp im) (exp im)) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* (- im) 3) (* (log (exp (- im))) 3) (* 1 3) (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* (- im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* (- im) 3) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (pow (exp (- im)) 1) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (* (exp (- im)) (exp (- im))) (log (pow (exp (- im)) 3)) (exp (pow (exp (- im)) 3)) (* (cbrt (pow (exp (- im)) 3)) (cbrt (pow (exp (- im)) 3))) (cbrt (pow (exp (- im)) 3)) (* (* (pow (exp (- im)) 3) (pow (exp (- im)) 3)) (pow (exp (- im)) 3)) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (- im)) (exp (- im))) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) (* (exp im) (exp (- im)))) (- (pow (exp im) 2) (* (exp (* -1 im)) (exp im))) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (+ (* 2 im) (+ (* 2 (pow im 2)) 1)) (pow (exp im) 2) (pow (exp im) 2) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (* -1 im)) 3) 0.662 * * [simplify]: iteration 0 : 389 enodes (cost 525 ) 0.672 * * [simplify]: iteration 1 : 2239 enodes (cost 444 ) 0.781 * * [simplify]: iteration 2 : 5001 enodes (cost 380 ) 0.783 * [simplify]: Simplified to: (expm1 (+ im im)) (fma (- 1) 1 1) (expm1 (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (log1p (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- 1) (exp (expm1 (+ im im))) (log (expm1 (+ im im))) (exp (expm1 (+ im im))) (* (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im))))) (cbrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (pow (* (exp im) (- (exp im) (exp (- im)))) 3) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (sqrt (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (fma (pow (exp im) 6) 1 (- 1)) (fma (pow (exp im) 4) 1 (+ 1 (pow (exp im) 2))) (- 1) (expm1 (+ (+ im im) (+ im im))) (+ 1 (pow (exp im) 2)) (- (exp im) (exp (- im))) (- 1) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (expm1 (* (exp im) (exp im))) (log1p (* (exp im) (exp im))) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (exp im) 2) (pow (exp (cbrt im)) (* 2 (cbrt im))) (exp (* 2 (sqrt im))) (exp 2) 2 (+ im im) (+ im im) (exp (pow (exp im) 2)) (pow (exp im) 6) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (pow (exp im) 6) (fabs (exp im)) (fabs (exp im)) (pow (cbrt (exp im)) 4) (cbrt (* (exp im) (exp im))) (exp im) (exp im) 1 (pow (exp im) 2) (exp im) (exp im) 2 (* 2 (cbrt im)) (* 2 (sqrt im)) (+ im im) (pow (cbrt (exp im)) 5) (pow (exp im) 3/2) (exp im) (pow (cbrt (exp im)) 4) (pow (exp im) 3/2) (pow (exp im) 2) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* -3 im) (* -3 im) 3 (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp (* -1 im)) 3) (pow (exp im) -2) (* -3 im) (exp (pow (exp (- im)) 3)) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (* -1 im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp (* -1 im)) 3) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (fma (fma im im im) 2 (* 4/3 (pow im 3))) (expm1 (+ im im)) (expm1 (+ im im)) (fma 3 im (fma 9/2 (pow im 2) 1)) (pow (exp im) 3) (pow (exp im) 3) (fma (fma im im im) 2 1) (pow (exp im) 2) (pow (exp im) 2) (fma -3 im (fma 9/2 (pow im 2) 1)) (pow (exp (* -1 im)) 3) (pow (exp (* -1 im)) 3) 0.784 * * * [progress]: adding candidates to table 1.184 * * [progress]: iteration 3 / 4 1.185 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.206 * * * [progress]: generating rewritten candidates 1.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.206 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 1.208 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.213 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.249 * * * [progress]: generating series expansions 1.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.250 * [approximate]: Taking taylor expansion of (fma (exp im) (exp im) -1) in (im) around 0 1.250 * [taylor]: Taking taylor expansion of (fma (exp im) (exp im) -1) in im 1.250 * [taylor]: Rewrote expression to (+ (* (exp im) (exp im)) -1) 1.250 * [taylor]: Taking taylor expansion of (* (exp im) (exp im)) in im 1.250 * [taylor]: Taking taylor expansion of (exp im) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (exp im) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of -1 in im 1.250 * [taylor]: Taking taylor expansion of (fma (exp im) (exp im) -1) in im 1.250 * [taylor]: Rewrote expression to (+ (* (exp im) (exp im)) -1) 1.250 * [taylor]: Taking taylor expansion of (* (exp im) (exp im)) in im 1.250 * [taylor]: Taking taylor expansion of (exp im) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of (exp im) in im 1.250 * [taylor]: Taking taylor expansion of im in im 1.250 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [approximate]: Taking taylor expansion of (fma (exp (/ 1 im)) (exp (/ 1 im)) -1) in (im) around 0 1.259 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 im)) (exp (/ 1 im)) -1) in im 1.259 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 im)) (exp (/ 1 im))) -1) 1.259 * [taylor]: Taking taylor expansion of (* (exp (/ 1 im)) (exp (/ 1 im))) in im 1.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.260 * [taylor]: Taking taylor expansion of (fma (exp (/ 1 im)) (exp (/ 1 im)) -1) in im 1.260 * [taylor]: Rewrote expression to (+ (* (exp (/ 1 im)) (exp (/ 1 im))) -1) 1.260 * [taylor]: Taking taylor expansion of (* (exp (/ 1 im)) (exp (/ 1 im))) in im 1.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.260 * [taylor]: Taking taylor expansion of im in im 1.260 * [taylor]: Taking taylor expansion of -1 in im 1.266 * [approximate]: Taking taylor expansion of (fma (exp (/ -1 im)) (exp (/ -1 im)) -1) in (im) around 0 1.266 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 im)) (exp (/ -1 im)) -1) in im 1.266 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 im)) (exp (/ -1 im))) -1) 1.266 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ -1 im))) in im 1.266 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.266 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.266 * [taylor]: Taking taylor expansion of -1 in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.267 * [taylor]: Taking taylor expansion of -1 in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.267 * [taylor]: Taking taylor expansion of -1 in im 1.267 * [taylor]: Taking taylor expansion of (fma (exp (/ -1 im)) (exp (/ -1 im)) -1) in im 1.267 * [taylor]: Rewrote expression to (+ (* (exp (/ -1 im)) (exp (/ -1 im))) -1) 1.267 * [taylor]: Taking taylor expansion of (* (exp (/ -1 im)) (exp (/ -1 im))) in im 1.267 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.267 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.267 * [taylor]: Taking taylor expansion of -1 in im 1.267 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.268 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.268 * [taylor]: Taking taylor expansion of -1 in im 1.268 * [taylor]: Taking taylor expansion of im in im 1.268 * [taylor]: Taking taylor expansion of -1 in im 1.274 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 1.274 * [approximate]: Taking taylor expansion of (pow (exp im) 3) in (im) around 0 1.274 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.274 * [taylor]: Taking taylor expansion of (exp im) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.274 * [taylor]: Taking taylor expansion of (pow (exp im) 3) in im 1.274 * [taylor]: Taking taylor expansion of (exp im) in im 1.274 * [taylor]: Taking taylor expansion of im in im 1.278 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.278 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.278 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.278 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.287 * [approximate]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in (im) around 0 1.287 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.287 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.287 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.287 * [taylor]: Taking taylor expansion of -1 in im 1.287 * [taylor]: Taking taylor expansion of im in im 1.288 * [taylor]: Taking taylor expansion of (pow (exp (/ -1 im)) 3) in im 1.288 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.288 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.288 * [taylor]: Taking taylor expansion of -1 in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.296 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.297 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 3) in (im) around 0 1.297 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.297 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.297 * [taylor]: Taking taylor expansion of (- im) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.297 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 3) in im 1.297 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.297 * [taylor]: Taking taylor expansion of (- im) in im 1.297 * [taylor]: Taking taylor expansion of im in im 1.307 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in (im) around 0 1.307 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.307 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.307 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.307 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.307 * [taylor]: Taking taylor expansion of im in im 1.308 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 3) in im 1.308 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.317 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in (im) around 0 1.317 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.317 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.317 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.317 * [taylor]: Taking taylor expansion of im in im 1.317 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 3) in im 1.318 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.318 * [taylor]: Taking taylor expansion of im in im 1.326 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.326 * [approximate]: Taking taylor expansion of (pow (exp (- im)) 2) in (im) around 0 1.326 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.326 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.327 * [taylor]: Taking taylor expansion of (- im) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.327 * [taylor]: Taking taylor expansion of (pow (exp (- im)) 2) in im 1.327 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.327 * [taylor]: Taking taylor expansion of (- im) in im 1.327 * [taylor]: Taking taylor expansion of im in im 1.331 * [approximate]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in (im) around 0 1.331 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.331 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.331 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.331 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.331 * [taylor]: Taking taylor expansion of im in im 1.332 * [taylor]: Taking taylor expansion of (pow (exp (- (/ 1 im))) 2) in im 1.332 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.332 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.332 * [taylor]: Taking taylor expansion of im in im 1.337 * [approximate]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in (im) around 0 1.337 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [taylor]: Taking taylor expansion of (pow (exp (/ 1 im)) 2) in im 1.337 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.337 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.342 * * * [progress]: simplifying candidates 1.344 * [simplify]: Simplifying using # : (expm1 (fma (exp im) (exp im) (- 1))) (log1p (fma (exp im) (exp im) (- 1))) (* (exp im) (exp im)) (log (fma (exp im) (exp im) (- 1))) (exp (fma (exp im) (exp im) (- 1))) (* (cbrt (fma (exp im) (exp im) (- 1))) (cbrt (fma (exp im) (exp im) (- 1)))) (cbrt (fma (exp im) (exp im) (- 1))) (* (* (fma (exp im) (exp im) (- 1)) (fma (exp im) (exp im) (- 1))) (fma (exp im) (exp im) (- 1))) (sqrt (fma (exp im) (exp im) (- 1))) (sqrt (fma (exp im) (exp im) (- 1))) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* (log (exp im)) 3) (* 1 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (pow (exp im) 1) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (log (pow (exp im) 3)) (exp (pow (exp im) 3)) (* (cbrt (pow (exp im) 3)) (cbrt (pow (exp im) 3))) (cbrt (pow (exp im) 3)) (* (* (pow (exp im) 3) (pow (exp im) 3)) (pow (exp im) 3)) (pow (* (cbrt (exp im)) (cbrt (exp im))) 3) (pow (cbrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow (sqrt (exp im)) 3) (pow 1 3) (pow (exp im) 3) (* (exp im) (exp im)) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) (/ 3 2)) (pow (exp im) (/ 3 2)) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* (- im) 3) (* (log (exp (- im))) 3) (* 1 3) (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* (- im) 3) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* (- im) 3) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (pow (exp (- im)) 1) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (* (exp (- im)) (exp (- im))) (log (pow (exp (- im)) 3)) (exp (pow (exp (- im)) 3)) (* (cbrt (pow (exp (- im)) 3)) (cbrt (pow (exp (- im)) 3))) (cbrt (pow (exp (- im)) 3)) (* (* (pow (exp (- im)) 3) (pow (exp (- im)) 3)) (pow (exp (- im)) 3)) (pow (* (cbrt (exp (- im))) (cbrt (exp (- im)))) 3) (pow (cbrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow (sqrt (exp (- im))) 3) (pow 1 3) (pow (exp (- im)) 3) (pow 1 3) (pow (exp im) 3) (pow (exp 0) 3) (pow (exp im) 3) (* (exp (- im)) (exp (- im))) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) (/ 3 2)) (pow (exp (- im)) (/ 3 2)) (expm1 (* (exp (- im)) (exp (- im)))) (log1p (* (exp (- im)) (exp (- im)))) (+ 1 1) (+ (cbrt (- im)) (cbrt (- im))) (+ (sqrt (- im)) (sqrt (- im))) (+ (- im) (- im)) (+ (- im) (- im)) (+ im im) (+ (cbrt im) (cbrt im)) (+ (sqrt im) (sqrt im)) (+ im im) (+ (- (cbrt im)) (- (cbrt im))) (+ (- (sqrt im)) (- (sqrt im))) (+ (- im) (- im)) (+ (- im) (- im)) (* (exp (- im)) (exp (- im))) (* (exp (* (cbrt (- im)) (cbrt (- im)))) (exp (* (cbrt (- im)) (cbrt (- im))))) (* (exp (sqrt (- im))) (exp (sqrt (- im)))) (* (exp 1) (exp 1)) (* (exp 1) (exp 1)) (* (exp -1) (exp -1)) (* (exp -1) (exp (- 1))) (* (exp (- (* (cbrt im) (cbrt im)))) (exp (- (* (cbrt im) (cbrt im))))) (* (exp (- (sqrt im))) (exp (- (sqrt im)))) (* (exp (- 1)) (exp -1)) (* (exp (- 1)) (exp (- 1))) (* (exp (* (cbrt im) (cbrt im))) (exp (* (cbrt im) (cbrt im)))) (* (exp (sqrt im)) (exp (sqrt im))) (* (exp 1) (exp 1)) (* (exp 1) (exp 1)) (+ 1 1) (+ (- im) (- im)) (log (* (exp (- im)) (exp (- im)))) (exp (* (exp (- im)) (exp (- im)))) (* (* (* (exp (- im)) (exp (- im))) (exp (- im))) (* (* (exp (- im)) (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)))) (* 1 1) (* (exp im) (exp im)) (* 1 (exp 0)) (* (exp im) (exp im)) (* (exp 0) 1) (* (exp im) (exp im)) (* (exp 0) (exp 0)) (* (exp im) (exp im)) (* (* (cbrt (exp (- im))) (cbrt (exp (- im)))) (* (cbrt (exp (- im))) (cbrt (exp (- im))))) (* (cbrt (exp (- im))) (cbrt (exp (- im)))) (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (* 1 1) (* (exp (- im)) (exp (- im))) (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (* (sqrt (exp (- im))) (sqrt (exp (- im)))) (* 2 1) (* 2 (cbrt (- im))) (* 2 (sqrt (- im))) (* 2 (- im)) (* 2 (- im)) (* 2 im) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* 2 (- (cbrt im))) (* 2 (- (sqrt im))) (* 2 (- im)) (* 2 (- im)) (* (exp (- im)) (* (cbrt (exp (- im))) (cbrt (exp (- im))))) (* (exp (- im)) (sqrt (exp (- im)))) (* (exp (- im)) 1) (* (cbrt (exp (- im))) (exp (- im))) (* (sqrt (exp (- im))) (exp (- im))) (* (exp (- im)) (exp (- im))) (* (exp (- im)) 1) (* (exp (- im)) (exp 0)) (* 1 (exp (- im))) (* (exp 0) (exp (- im))) (+ (* 4/3 (pow im 3)) (+ (* 2 (pow im 2)) (* 2 im))) (- (pow (exp im) 2) 1) (- (pow (exp im) 2) 1) (+ (* 3 im) (+ (* 9/2 (pow im 2)) 1)) (pow (exp im) 3) (pow (exp im) 3) (- (+ (* 9/2 (pow im 2)) 1) (* 3 im)) (pow (exp (- im)) 3) (pow (exp (* -1 im)) 3) (- (+ (* 2 (pow im 2)) 1) (* 2 im)) (pow (exp (- im)) 2) (pow (exp (* -1 im)) 2) 1.349 * * [simplify]: iteration 0 : 394 enodes (cost 530 ) 1.357 * * [simplify]: iteration 1 : 1775 enodes (cost 457 ) 1.398 * * [simplify]: iteration 2 : 5001 enodes (cost 413 ) 1.400 * [simplify]: Simplified to: (expm1 (fma (exp im) (exp im) (- 1))) (* 2 im) (pow (exp im) 2) (log (fma (exp im) (exp im) (- 1))) (exp (expm1 (* 2 im))) (* (cbrt (fma (exp im) (exp im) (- 1))) (cbrt (fma (exp im) (exp im) (- 1)))) (cbrt (fma (exp im) (exp im) (- 1))) (pow (expm1 (* 2 im)) 3) (sqrt (fma (exp im) (exp im) (- 1))) (sqrt (fma (exp im) (exp im) (- 1))) (expm1 (pow (exp im) 3)) (log1p (pow (exp im) 3)) (* im 3) (* im 3) 3 (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (pow (exp im) (* (cbrt 3) (cbrt 3))) (pow (exp im) (sqrt 3)) (exp im) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (* im 3) (exp (pow (exp im) 3)) (pow (exp im) 2) (exp im) (pow (pow (exp im) 3) 3) (pow (exp im) 2) (exp im) (pow (exp im) 3/2) (pow (exp im) 3/2) 1 (pow (exp im) 3) (pow (exp im) 2) (sqrt (pow (exp im) 3)) (sqrt (pow (exp im) 3)) (pow (exp im) 3/2) (pow (exp im) 3/2) (expm1 (pow (exp (- im)) 3)) (log1p (pow (exp (- im)) 3)) (* -3 im) (* -3 im) 3 (* (cbrt (- im)) 3) (* (sqrt (- im)) 3) (* -3 im) (* im 3) (* (cbrt im) 3) (* (sqrt im) 3) (* im 3) (* (- (cbrt im)) 3) (* (- (sqrt im)) 3) (* -3 im) (pow (exp (- im)) (* (cbrt 3) (cbrt 3))) (pow (exp (- im)) (sqrt 3)) (exp (- im)) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp im) -3) (pow (exp im) -2) (* -3 im) (pow E (pow (exp im) -3)) (pow (exp im) -2) (exp (- im)) (pow (pow (exp (- im)) 3) 3) (pow (exp im) -2) (exp (- im)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) 1 (pow (exp im) -3) 1 (pow (exp im) 3) 1 (pow (exp im) 3) (pow (exp im) -2) (sqrt (pow (exp (- im)) 3)) (sqrt (pow (exp (- im)) 3)) (pow (exp (- im)) 3/2) (pow (exp (- im)) 3/2) (expm1 (* (exp (- im)) (exp (- im)))) (log1p (* (exp (- im)) (exp (- im)))) 2 (* 2 (cbrt (- im))) (* 2 (sqrt (- im))) (* im -2) (* im -2) (* 2 im) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* 2 (- (cbrt im))) (* 2 (- (sqrt im))) (* im -2) (* im -2) (pow (exp im) -2) (pow (exp (cbrt (- im))) (* 2 (cbrt (- im)))) (exp (* 2 (sqrt (- im)))) (exp 2) (exp 2) (exp -2) (exp -2) (pow (exp (- (cbrt im))) (* 2 (cbrt im))) (pow (exp -2) (sqrt im)) (exp -2) (exp -2) (pow (exp (cbrt im)) (* 2 (cbrt im))) (exp (* 2 (sqrt im))) (exp 2) (exp 2) 2 (* im -2) (* im -2) (pow E (pow (exp im) -2)) (pow (exp (- im)) 6) (pow (cbrt (exp (- im))) 4) (cbrt (* (exp (- im)) (exp (- im)))) (pow (exp (- im)) 6) (fabs (exp (- im))) (fabs (exp (- im))) 1 (pow (exp im) 2) 1 (pow (exp im) 2) 1 (pow (exp im) 2) 1 (pow (exp im) 2) (pow (cbrt (exp (- im))) 4) (cbrt (* (exp (- im)) (exp (- im)))) (exp (- im)) (exp (- im)) 1 (pow (exp im) -2) (exp (- im)) (exp (- im)) 2 (* 2 (cbrt (- im))) (* 2 (sqrt (- im))) (* im -2) (* im -2) (* 2 im) (* 2 (cbrt im)) (* 2 (sqrt im)) (* 2 im) (* 2 (- (cbrt im))) (* 2 (- (sqrt im))) (* im -2) (* im -2) (pow (cbrt (exp (- im))) 5) (pow (exp (- im)) 3/2) (exp (- im)) (pow (cbrt (exp (- im))) 4) (pow (exp (- im)) 3/2) (pow (exp im) -2) (exp (- im)) (exp (- im)) (exp (- im)) (exp (- im)) (fma (fma im im im) 2 (* 4/3 (pow im 3))) (expm1 (* 2 im)) (expm1 (* 2 im)) (fma 3 im (fma 9/2 (pow im 2) 1)) (pow (exp im) 3) (pow (exp im) 3) (fma -3 im (fma 9/2 (pow im 2) 1)) (pow (exp im) -3) (pow (exp im) -3) (fma im -2 (fma 2 (pow im 2) 1)) (pow (exp im) -2) (pow (exp im) -2) 1.401 * * * [progress]: adding candidates to table 1.936 * [progress]: [Phase 3 of 3] Extracting. 1.936 * * [regime]: Finding splitpoints for: (# #) 1.937 * * * [regime-changes]: Trying 6 branch expressions: ((+ (exp (- im)) (exp im)) (cos re) (* 0.5 (cos re)) (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) im re) 1.937 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 1.952 * * * * [regimes]: Trying to branch on (cos re) from (# #) 1.970 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 1.984 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 2.005 * * * * [regimes]: Trying to branch on im from (# #) 2.020 * * * * [regimes]: Trying to branch on re from (# #) 2.033 * * * [regime]: Found split indices: #