8.328 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.071 * * * [progress]: [2/2] Setting up program. 0.073 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.076 * * [simplify]: iteration 0 : 23 enodes (cost 7 ) 0.077 * * [simplify]: iteration 1 : 60 enodes (cost 7 ) 0.079 * * [simplify]: iteration 2 : 112 enodes (cost 7 ) 0.081 * * [simplify]: iteration 3 : 236 enodes (cost 7 ) 0.084 * * [simplify]: iteration 4 : 520 enodes (cost 6 ) 0.088 * * [simplify]: iteration 5 : 702 enodes (cost 6 ) 0.096 * * [simplify]: iteration 6 : 1514 enodes (cost 6 ) 0.108 * * [simplify]: iteration 7 : 2284 enodes (cost 6 ) 0.148 * * [simplify]: iteration 8 : 5001 enodes (cost 6 ) 0.148 * [simplify]: Simplified to: (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)) 0.151 * * [progress]: iteration 1 / 4 0.151 * * * [progress]: picking best candidate 0.155 * * * * [pick]: Picked # 0.155 * * * [progress]: localizing error 0.164 * * * [progress]: generating rewritten candidates 0.164 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.183 * [approximate]: Taking taylor expansion of (+ (exp im) (exp (- im))) in (im) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.183 * [taylor]: Taking taylor expansion of (exp im) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.183 * [taylor]: Taking taylor expansion of (- im) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (+ (exp im) (exp (- im))) in im 0.183 * [taylor]: Taking taylor expansion of (exp im) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [taylor]: Taking taylor expansion of (exp (- im)) in im 0.183 * [taylor]: Taking taylor expansion of (- im) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.201 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.201 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.202 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.204 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.204 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.204 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.204 * [taylor]: Taking taylor expansion of -1 in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.205 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.205 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.205 * [taylor]: Taking taylor expansion of -1 in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.205 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.207 * * * [progress]: simplifying candidates 0.207 * [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)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp im) (exp (- im))) (+ (exp (* -1 im)) (exp im)) 0.210 * * [simplify]: iteration 0 : 106 enodes (cost 111 ) 0.213 * * [simplify]: iteration 1 : 356 enodes (cost 96 ) 0.219 * * [simplify]: iteration 2 : 1253 enodes (cost 94 ) 0.255 * * [simplify]: iteration 3 : 5001 enodes (cost 92 ) 0.256 * [simplify]: Simplified to: (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (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))) (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)) (fma 1 (pow (exp im) -2) (expm1 (+ im im))) (fma (- (exp im)) (exp im) (pow (exp im) -2)) (- (exp (- im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.256 * * * [progress]: adding candidates to table 0.314 * * [progress]: iteration 2 / 4 0.314 * * * [progress]: picking best candidate 0.319 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.341 * [approximate]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in (im) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.341 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.341 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.341 * [taylor]: Taking taylor expansion of -1 in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (exp im) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (+ (exp (* -1 im)) (exp im)) in im 0.342 * [taylor]: Taking taylor expansion of (exp (* -1 im)) in im 0.342 * [taylor]: Taking taylor expansion of (* -1 im) in im 0.342 * [taylor]: Taking taylor expansion of -1 in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.342 * [taylor]: Taking taylor expansion of (exp im) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.357 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.357 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.358 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.358 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.358 * [taylor]: Taking taylor expansion of -1 in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.360 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 0.360 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.360 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.360 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.360 * [taylor]: Taking taylor expansion of -1 in im 0.360 * [taylor]: Taking taylor expansion of im in im 0.360 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.360 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.360 * [taylor]: Taking taylor expansion of im in im 0.361 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 0.361 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 0.361 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.361 * [taylor]: Taking taylor expansion of -1 in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.363 * * * [progress]: simplifying candidates 0.363 * [simplify]: Simplifying using # : (expm1 (+ (exp (* -1 im)) (exp im))) (log1p (+ (exp (* -1 im)) (exp im))) (* (exp (exp (* -1 im))) (exp (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (* (* (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im))) (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (+ (* (exp (* -1 im)) (exp (* -1 im))) (- (* (exp im) (exp im)) (* (exp (* -1 im)) (exp im)))) (- (* (exp (* -1 im)) (exp (* -1 im))) (* (exp im) (exp im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.366 * * [simplify]: iteration 0 : 101 enodes (cost 111 ) 0.368 * * [simplify]: iteration 1 : 279 enodes (cost 99 ) 0.373 * * [simplify]: iteration 2 : 846 enodes (cost 94 ) 0.396 * * [simplify]: iteration 3 : 4868 enodes (cost 93 ) 0.884 * * [simplify]: iteration 4 : 5001 enodes (cost 93 ) 0.888 * [simplify]: Simplified to: (expm1 (+ (exp (* -1 im)) (exp im))) (log1p (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (log (+ (exp (* -1 im)) (exp im))) (exp (+ (exp (* -1 im)) (exp im))) (* (cbrt (+ (exp (* -1 im)) (exp im))) (cbrt (+ (exp (* -1 im)) (exp im)))) (cbrt (+ (exp (* -1 im)) (exp im))) (pow (+ (exp (* -1 im)) (exp im)) 3) (sqrt (+ (exp (* -1 im)) (exp im))) (sqrt (+ (exp (* -1 im)) (exp im))) (+ (pow (exp (* -1 im)) 3) (pow (exp im) 3)) (fma (exp im) (exp im) (expm1 (* im -2))) (fma (- (exp im)) (exp im) (pow (exp -1) (* 2 im))) (- (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) (fma (pow im 4) 1/12 (fma im im 2)) (+ (exp (* -1 im)) (exp im)) (+ (exp (* -1 im)) (exp im)) 0.889 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.938 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.941 * * * [progress]: localizing error 0.951 * * * [progress]: generating rewritten candidates 0.951 * * * [progress]: generating series expansions 0.951 * * * [progress]: simplifying candidates 0.952 * [simplify]: Simplifying using # : 0.954 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.954 * [simplify]: Simplified to: 0.954 * * * [progress]: adding candidates to table 0.954 * [progress]: [Phase 3 of 3] Extracting. 0.954 * * [regime]: Finding splitpoints for: (# #) 0.954 * * * [regime-changes]: Trying 4 branch expressions: ((cos re) (* 0.5 (cos re)) im re) 0.954 * * * * [regimes]: Trying to branch on (cos re) from (# #) 0.968 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 0.983 * * * * [regimes]: Trying to branch on im from (# #) 0.998 * * * * [regimes]: Trying to branch on re from (# #) 1.010 * * * [regime]: Found split indices: #