63.452 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.158 * * * [progress]: [2/2] Setting up program. 0.162 * [progress]: [Phase 2 of 3] Improving. 0.162 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.162 * [simplify]: Simplifying: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.163 * * [simplify]: iteration 0: 10 enodes 0.165 * * [simplify]: iteration 1: 23 enodes 0.170 * * [simplify]: iteration 2: 57 enodes 0.180 * * [simplify]: iteration 3: 86 enodes 0.215 * * [simplify]: iteration 4: 210 enodes 0.322 * * [simplify]: iteration 5: 617 enodes 0.733 * * [simplify]: iteration 6: 1348 enodes 0.994 * * [simplify]: iteration complete: 2001 enodes 0.994 * * [simplify]: Extracting #0: cost 1 inf + 0 0.994 * * [simplify]: Extracting #1: cost 33 inf + 0 0.994 * * [simplify]: Extracting #2: cost 184 inf + 2 0.995 * * [simplify]: Extracting #3: cost 202 inf + 5610 0.998 * * [simplify]: Extracting #4: cost 90 inf + 17802 1.004 * * [simplify]: Extracting #5: cost 12 inf + 31429 1.010 * * [simplify]: Extracting #6: cost 0 inf + 32229 1.016 * [simplify]: Simplified to: (* (cos re) (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) 1.020 * * [progress]: iteration 1 / 4 1.020 * * * [progress]: picking best candidate 1.023 * * * * [pick]: Picked # 1.023 * * * [progress]: localizing error 1.039 * * * [progress]: generating rewritten candidates 1.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.083 * * * [progress]: generating series expansions 1.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.083 * [backup-simplify]: Simplify (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) into (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) 1.083 * [approximate]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) in (re im) around 0 1.083 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) in im 1.083 * [taylor]: Taking taylor expansion of 0.5 in im 1.083 * [backup-simplify]: Simplify 0.5 into 0.5 1.083 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp (- im)) (exp im))) in im 1.083 * [taylor]: Taking taylor expansion of (cos re) in im 1.083 * [taylor]: Taking taylor expansion of re in im 1.083 * [backup-simplify]: Simplify re into re 1.083 * [backup-simplify]: Simplify (cos re) into (cos re) 1.083 * [backup-simplify]: Simplify (sin re) into (sin re) 1.084 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im 1.084 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.084 * [taylor]: Taking taylor expansion of (- im) in im 1.084 * [taylor]: Taking taylor expansion of im in im 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (- 0) into 0 1.084 * [backup-simplify]: Simplify (- 1) into -1 1.084 * [backup-simplify]: Simplify (exp 0) into 1 1.084 * [taylor]: Taking taylor expansion of (exp im) in im 1.084 * [taylor]: Taking taylor expansion of im in im 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (exp 0) into 1 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) in re 1.084 * [taylor]: Taking taylor expansion of 0.5 in re 1.084 * [backup-simplify]: Simplify 0.5 into 0.5 1.084 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp (- im)) (exp im))) in re 1.085 * [taylor]: Taking taylor expansion of (cos re) in re 1.085 * [taylor]: Taking taylor expansion of re in re 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re 1.085 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.085 * [taylor]: Taking taylor expansion of (- im) in re 1.085 * [taylor]: Taking taylor expansion of im in re 1.085 * [backup-simplify]: Simplify im into im 1.085 * [backup-simplify]: Simplify (- im) into (- im) 1.085 * [backup-simplify]: Simplify (- im) into (- im) 1.085 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.085 * [taylor]: Taking taylor expansion of (exp im) in re 1.085 * [taylor]: Taking taylor expansion of im in re 1.085 * [backup-simplify]: Simplify im into im 1.085 * [backup-simplify]: Simplify (exp im) into (exp im) 1.085 * [taylor]: Taking taylor expansion of (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) in re 1.085 * [taylor]: Taking taylor expansion of 0.5 in re 1.085 * [backup-simplify]: Simplify 0.5 into 0.5 1.085 * [taylor]: Taking taylor expansion of (* (cos re) (+ (exp (- im)) (exp im))) in re 1.085 * [taylor]: Taking taylor expansion of (cos re) in re 1.085 * [taylor]: Taking taylor expansion of re in re 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in re 1.085 * [taylor]: Taking taylor expansion of (exp (- im)) in re 1.085 * [taylor]: Taking taylor expansion of (- im) in re 1.085 * [taylor]: Taking taylor expansion of im in re 1.085 * [backup-simplify]: Simplify im into im 1.085 * [backup-simplify]: Simplify (- im) into (- im) 1.085 * [backup-simplify]: Simplify (- im) into (- im) 1.085 * [backup-simplify]: Simplify (exp (- im)) into (exp (- im)) 1.085 * [taylor]: Taking taylor expansion of (exp im) in re 1.085 * [taylor]: Taking taylor expansion of im in re 1.085 * [backup-simplify]: Simplify im into im 1.085 * [backup-simplify]: Simplify (exp im) into (exp im) 1.085 * [backup-simplify]: Simplify (+ (exp (- im)) (exp im)) into (+ (exp (- im)) (exp im)) 1.085 * [backup-simplify]: Simplify (* 1 (+ (exp (- im)) (exp im))) into (+ (exp (- im)) (exp im)) 1.085 * [backup-simplify]: Simplify (* 0.5 (+ (exp (- im)) (exp im))) into (* 0.5 (+ (exp (- im)) (exp im))) 1.085 * [taylor]: Taking taylor expansion of (* 0.5 (+ (exp (- im)) (exp im))) in im 1.085 * [taylor]: Taking taylor expansion of 0.5 in im 1.085 * [backup-simplify]: Simplify 0.5 into 0.5 1.085 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im 1.085 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.085 * [taylor]: Taking taylor expansion of (- im) in im 1.085 * [taylor]: Taking taylor expansion of im in im 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (- 1) into -1 1.086 * [backup-simplify]: Simplify (exp 0) into 1 1.086 * [taylor]: Taking taylor expansion of (exp im) in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (exp 0) into 1 1.086 * [backup-simplify]: Simplify (+ 1 1) into 2 1.087 * [backup-simplify]: Simplify (* 0.5 2) into 1.0 1.087 * [backup-simplify]: Simplify 1.0 into 1.0 1.087 * [backup-simplify]: Simplify (- im) into (- im) 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.088 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (+ (exp (- im)) (exp im)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (exp (- im)) (exp im)))) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in im 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify (- 1) into -1 1.090 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 1.091 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.091 * [backup-simplify]: Simplify (+ -1 1) into 0 1.091 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 2)) into 0 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (- im) into (- im) 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.093 * [backup-simplify]: Simplify (* (exp (- im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.093 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.094 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (+ (exp (- im)) (exp im))))) into (- (+ (* 1/2 (exp (- im))) (* 1/2 (exp im)))) 1.095 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (* 1/2 (exp (- im))) (* 1/2 (exp im))))) (+ (* 0 0) (* 0 (+ (exp (- im)) (exp im))))) into (- (+ (* 0.25 (exp (- im))) (* 0.25 (exp im)))) 1.095 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (exp (- im))) (* 0.25 (exp im)))) in im 1.095 * [taylor]: Taking taylor expansion of (+ (* 0.25 (exp (- im))) (* 0.25 (exp im))) in im 1.095 * [taylor]: Taking taylor expansion of (* 0.25 (exp (- im))) in im 1.095 * [taylor]: Taking taylor expansion of 0.25 in im 1.095 * [backup-simplify]: Simplify 0.25 into 0.25 1.095 * [taylor]: Taking taylor expansion of (exp (- im)) in im 1.095 * [taylor]: Taking taylor expansion of (- im) in im 1.095 * [taylor]: Taking taylor expansion of im in im 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (- 0) into 0 1.096 * [backup-simplify]: Simplify (- 1) into -1 1.096 * [backup-simplify]: Simplify (exp 0) into 1 1.096 * [taylor]: Taking taylor expansion of (* 0.25 (exp im)) in im 1.096 * [taylor]: Taking taylor expansion of 0.25 in im 1.096 * [backup-simplify]: Simplify 0.25 into 0.25 1.096 * [taylor]: Taking taylor expansion of (exp im) in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (exp 0) into 1 1.096 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.097 * [backup-simplify]: Simplify (* 0.25 1) into 0.25 1.097 * [backup-simplify]: Simplify (+ 0.25 0.25) into 0.5 1.097 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.097 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.097 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (- 1) into -1 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.100 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 1.100 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 1.101 * [backup-simplify]: Simplify (+ (* 0.5 1) (+ (* 0 0) (* 0 2))) into 0.5 1.101 * [backup-simplify]: Simplify 0.5 into 0.5 1.102 * [backup-simplify]: Simplify (+ (* 0.5 (pow (* im 1) 2)) (+ (* (- 0.5) (pow (* 1 re) 2)) 1.0)) into (- (+ (* 0.5 (pow im 2)) 1.0) (* 0.5 (pow re 2))) 1.102 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 re))) (+ (exp (- (/ 1 im))) (exp (/ 1 im)))) into (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) 1.102 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) in (re im) around 0 1.102 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) in im 1.102 * [taylor]: Taking taylor expansion of 0.5 in im 1.102 * [backup-simplify]: Simplify 0.5 into 0.5 1.102 * [taylor]: Taking taylor expansion of (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) in im 1.102 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.102 * [backup-simplify]: Simplify 0 into 0 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (/ 1 1) into 1 1.102 * [backup-simplify]: Simplify (- 1) into -1 1.103 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.103 * [taylor]: Taking taylor expansion of im in im 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (/ 1 1) into 1 1.103 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.103 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.103 * [taylor]: Taking taylor expansion of re in im 1.103 * [backup-simplify]: Simplify re into re 1.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.103 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.103 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.103 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) in re 1.103 * [taylor]: Taking taylor expansion of 0.5 in re 1.103 * [backup-simplify]: Simplify 0.5 into 0.5 1.103 * [taylor]: Taking taylor expansion of (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) in re 1.103 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.103 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [backup-simplify]: Simplify im into im 1.103 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.103 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.103 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.103 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.103 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [backup-simplify]: Simplify im into im 1.104 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.104 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.104 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.104 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) in re 1.104 * [taylor]: Taking taylor expansion of 0.5 in re 1.104 * [backup-simplify]: Simplify 0.5 into 0.5 1.104 * [taylor]: Taking taylor expansion of (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) in re 1.104 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in re 1.104 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in re 1.104 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.104 * [taylor]: Taking taylor expansion of im in re 1.104 * [backup-simplify]: Simplify im into im 1.104 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.104 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.104 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.104 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.104 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.104 * [taylor]: Taking taylor expansion of im in re 1.104 * [backup-simplify]: Simplify im into im 1.104 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.104 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.104 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.105 * [backup-simplify]: Simplify (/ 1 1) into 1 1.105 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.105 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1.105 * [backup-simplify]: Simplify (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) into (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) 1.105 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) into (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) 1.105 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) in im 1.105 * [taylor]: Taking taylor expansion of 0.5 in im 1.105 * [backup-simplify]: Simplify 0.5 into 0.5 1.105 * [taylor]: Taking taylor expansion of (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) in im 1.105 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 1.105 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 1.105 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 1.105 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.105 * [taylor]: Taking taylor expansion of im in im 1.105 * [backup-simplify]: Simplify 0 into 0 1.105 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (- 1) into -1 1.106 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 1.106 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.106 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.106 * [taylor]: Taking taylor expansion of im in im 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.106 * [backup-simplify]: Simplify (/ 1 1) into 1 1.106 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.106 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.106 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.106 * [taylor]: Taking taylor expansion of re in im 1.106 * [backup-simplify]: Simplify re into re 1.106 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.106 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.106 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.106 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 1.107 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.107 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.107 * [backup-simplify]: Simplify (- 0) into 0 1.107 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.107 * [backup-simplify]: Simplify (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) into (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))) 1.107 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) into (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) 1.107 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) into (* 0.5 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))) 1.107 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.109 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (+ (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0) (* 0 (cos (/ 1 re)))) into 0 1.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))))) into 0 1.111 * [taylor]: Taking taylor expansion of 0 in im 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (+ 0) into 0 1.112 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 1.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.113 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [backup-simplify]: Simplify (+ (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0) (* 0 (cos (/ 1 re)))) into 0 1.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))))) into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.114 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.116 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.116 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 1.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))))) into 0 1.118 * [taylor]: Taking taylor expansion of 0 in im 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.119 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.119 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.120 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.120 * [backup-simplify]: Simplify (- 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ 1 re))))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re)))))) into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (- (/ 1 im)) into (- (/ 1 im)) 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (- 0) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.124 * [backup-simplify]: Simplify (* (exp (- (/ 1 im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.125 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 re)))))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (- (/ 1 im))) (exp (/ 1 im))) (cos (/ 1 re))))))) into 0 1.126 * [taylor]: Taking taylor expansion of 0 in im 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) (cos (/ 1 (/ 1 re))))) into (* 0.5 (* (cos re) (+ (exp (- im)) (exp im)))) 1.127 * [backup-simplify]: Simplify (* (* 0.5 (cos (/ 1 (- re)))) (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im))))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 1.127 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in (re im) around 0 1.127 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in im 1.127 * [taylor]: Taking taylor expansion of 0.5 in im 1.127 * [backup-simplify]: Simplify 0.5 into 0.5 1.127 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in im 1.127 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 1.127 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.127 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.127 * [taylor]: Taking taylor expansion of -1 in im 1.127 * [backup-simplify]: Simplify -1 into -1 1.127 * [taylor]: Taking taylor expansion of im in im 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ -1 1) into -1 1.127 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.127 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.127 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.127 * [taylor]: Taking taylor expansion of im in im 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.127 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.128 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.128 * [taylor]: Taking taylor expansion of -1 in im 1.128 * [backup-simplify]: Simplify -1 into -1 1.128 * [taylor]: Taking taylor expansion of re in im 1.128 * [backup-simplify]: Simplify re into re 1.128 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.128 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.128 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.128 * [taylor]: Taking taylor expansion of 0.5 in re 1.128 * [backup-simplify]: Simplify 0.5 into 0.5 1.128 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.128 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.128 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.128 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.128 * [taylor]: Taking taylor expansion of -1 in re 1.128 * [backup-simplify]: Simplify -1 into -1 1.128 * [taylor]: Taking taylor expansion of im in re 1.128 * [backup-simplify]: Simplify im into im 1.128 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.128 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.128 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.128 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.128 * [taylor]: Taking taylor expansion of im in re 1.128 * [backup-simplify]: Simplify im into im 1.128 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.128 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.128 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.128 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.128 * [taylor]: Taking taylor expansion of -1 in re 1.128 * [backup-simplify]: Simplify -1 into -1 1.128 * [taylor]: Taking taylor expansion of re in re 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (/ -1 1) into -1 1.128 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) in re 1.128 * [taylor]: Taking taylor expansion of 0.5 in re 1.129 * [backup-simplify]: Simplify 0.5 into 0.5 1.129 * [taylor]: Taking taylor expansion of (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) in re 1.129 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in re 1.129 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.129 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.129 * [taylor]: Taking taylor expansion of -1 in re 1.129 * [backup-simplify]: Simplify -1 into -1 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [backup-simplify]: Simplify im into im 1.129 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.129 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.129 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.129 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.129 * [taylor]: Taking taylor expansion of im in re 1.129 * [backup-simplify]: Simplify im into im 1.129 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.129 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.129 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.129 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.129 * [taylor]: Taking taylor expansion of -1 in re 1.129 * [backup-simplify]: Simplify -1 into -1 1.129 * [taylor]: Taking taylor expansion of re in re 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (/ -1 1) into -1 1.129 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.129 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) 1.129 * [backup-simplify]: Simplify (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re))) into (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) 1.130 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re)))) 1.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re)))) in im 1.130 * [taylor]: Taking taylor expansion of 0.5 in im 1.130 * [backup-simplify]: Simplify 0.5 into 0.5 1.130 * [taylor]: Taking taylor expansion of (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re))) in im 1.130 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 im)) (exp (/ -1 im))) in im 1.130 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.130 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.130 * [taylor]: Taking taylor expansion of im in im 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ 1 1) into 1 1.130 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.130 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.130 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.130 * [taylor]: Taking taylor expansion of -1 in im 1.130 * [backup-simplify]: Simplify -1 into -1 1.130 * [taylor]: Taking taylor expansion of im in im 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (/ -1 1) into -1 1.130 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.130 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.130 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.130 * [taylor]: Taking taylor expansion of -1 in im 1.131 * [backup-simplify]: Simplify -1 into -1 1.131 * [taylor]: Taking taylor expansion of re in im 1.131 * [backup-simplify]: Simplify re into re 1.131 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.131 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.131 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.131 * [backup-simplify]: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 1.131 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.131 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.131 * [backup-simplify]: Simplify (- 0) into 0 1.131 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.131 * [backup-simplify]: Simplify (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))) into (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re))) 1.131 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) 1.131 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))) into (* 0.5 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re)))) 1.132 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.132 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.133 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [backup-simplify]: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 1.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in im 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ 0) into 0 1.134 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 1.134 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.135 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 1.135 * [backup-simplify]: Simplify (- 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (* 0 (cos (/ -1 re)))) into 0 1.136 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re))))) into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.137 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.138 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.138 * [backup-simplify]: Simplify (+ 0 0) into 0 1.138 * [backup-simplify]: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 1.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re)))))) into 0 1.139 * [taylor]: Taking taylor expansion of 0 in im 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.140 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.140 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.141 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.141 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.141 * [backup-simplify]: Simplify (- 0) into 0 1.141 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (+ 0 0) into 0 1.142 * [backup-simplify]: Simplify (+ (* (+ (exp (/ -1 im)) (exp (/ 1 im))) 0) (+ (* 0 0) (* 0 (cos (/ -1 re))))) into 0 1.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (exp (/ 1 im)) (exp (/ -1 im))) (cos (/ -1 re)))))) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.144 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.145 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ 0 0) into 0 1.145 * [backup-simplify]: Simplify (+ (* (+ (exp (/ 1 im)) (exp (/ -1 im))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 re)))))) into 0 1.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (+ (exp (/ -1 im)) (exp (/ 1 im))) (cos (/ -1 re))))))) into 0 1.146 * [taylor]: Taking taylor expansion of 0 in im 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (* 0.5 (* (+ (exp (/ 1 (/ 1 (- im)))) (exp (/ -1 (/ 1 (- im))))) (cos (/ -1 (/ 1 (- re)))))) into (* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re))) 1.147 * * * [progress]: simplifying candidates 1.147 * * * * [progress]: [ 1 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 2 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 3 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 4 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 5 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 6 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 7 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 8 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 9 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 10 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 11 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 12 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 13 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 14 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 15 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 16 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 17 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 18 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 19 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 20 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 21 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 22 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 23 / 27 ] simplifiying candidate #real (real->posit16 (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))))))> 1.147 * * * * [progress]: [ 24 / 27 ] simplifiying candidate # 1.147 * * * * [progress]: [ 25 / 27 ] simplifiying candidate # 1.148 * * * * [progress]: [ 26 / 27 ] simplifiying candidate # 1.148 * * * * [progress]: [ 27 / 27 ] simplifiying candidate # 1.148 * [simplify]: Simplifying: (* (* 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)))) (real->posit16 (* (* 0.5 (cos re)) (+ (exp (- 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 im) (exp (* -1 im))) (cos re))) 1.148 * * [simplify]: iteration 0: 72 enodes 1.167 * * [simplify]: iteration 1: 222 enodes 1.248 * * [simplify]: iteration 2: 937 enodes 1.507 * * [simplify]: iteration complete: 2035 enodes 1.507 * * [simplify]: Extracting #0: cost 18 inf + 0 1.507 * * [simplify]: Extracting #1: cost 272 inf + 0 1.510 * * [simplify]: Extracting #2: cost 580 inf + 271 1.514 * * [simplify]: Extracting #3: cost 801 inf + 2092 1.526 * * [simplify]: Extracting #4: cost 690 inf + 22565 1.549 * * [simplify]: Extracting #5: cost 337 inf + 126125 1.603 * * [simplify]: Extracting #6: cost 29 inf + 249516 1.666 * * [simplify]: Extracting #7: cost 0 inf + 254092 1.721 * * [simplify]: Extracting #8: cost 0 inf + 251032 1.767 * [simplify]: Simplified to: (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im))) (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im))) (log (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (log (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (log (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (exp (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (* (* (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) 0.5) (* (* (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) 0.5) (* (cbrt (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (cbrt (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im))))) (cbrt (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (* (* (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 0.5)) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) 0.5) (sqrt (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (sqrt (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (/ (* (cos re) 0.5) (exp im)) (* (* 0.5 (cos re)) (exp im)) (/ (* (cos re) 0.5) (exp im)) (* (* 0.5 (cos re)) (exp im)) (* (* (cos re) 0.5) (* (cbrt (+ (exp im) (exp (- im)))) (cbrt (+ (exp im) (exp (- im)))))) (* (* (cos re) 0.5) (sqrt (+ (exp im) (exp (- im))))) (* (cos re) 0.5) (* (cos re) 0.5) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (* (+ (exp (+ (+ (- im) (- im)) (- im))) (exp (+ im (+ im im)))) (* (cos re) 0.5)) (* 0.5 (* (- (exp (* im -2)) (exp (+ im im))) (cos re))) (real->posit16 (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im)))) (+ (- 1.0 (* 0.5 (* re re))) (* im (* im 0.5))) (+ (/ (* (cos re) 0.5) (exp im)) (* (* (cos re) 0.5) (exp im))) (* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im)))) 1.769 * * * [progress]: adding candidates to table 1.865 * * [progress]: iteration 2 / 4 1.865 * * * [progress]: picking best candidate 1.867 * * * * [pick]: Picked # 1.867 * * * [progress]: localizing error 1.882 * * * [progress]: generating rewritten candidates 1.882 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 1.891 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 1.909 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.931 * * * [progress]: generating series expansions 1.931 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 1.931 * [backup-simplify]: Simplify (/ (cos re) (exp im)) into (/ (cos re) (exp im)) 1.931 * [approximate]: Taking taylor expansion of (/ (cos re) (exp im)) in (re im) around 0 1.931 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 1.931 * [taylor]: Taking taylor expansion of (cos re) in im 1.931 * [taylor]: Taking taylor expansion of re in im 1.931 * [backup-simplify]: Simplify re into re 1.931 * [backup-simplify]: Simplify (cos re) into (cos re) 1.931 * [backup-simplify]: Simplify (sin re) into (sin re) 1.931 * [taylor]: Taking taylor expansion of (exp im) in im 1.931 * [taylor]: Taking taylor expansion of im in im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.931 * [backup-simplify]: Simplify (exp 0) into 1 1.931 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re) 1.931 * [backup-simplify]: Simplify (* (sin re) 0) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re) 1.932 * [backup-simplify]: Simplify (/ (cos re) 1) into (cos re) 1.932 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.932 * [taylor]: Taking taylor expansion of (cos re) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [taylor]: Taking taylor expansion of (exp im) in re 1.932 * [taylor]: Taking taylor expansion of im in re 1.932 * [backup-simplify]: Simplify im into im 1.932 * [backup-simplify]: Simplify (exp im) into (exp im) 1.932 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 1.932 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 1.932 * [taylor]: Taking taylor expansion of (cos re) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [taylor]: Taking taylor expansion of (exp im) in re 1.933 * [taylor]: Taking taylor expansion of im in re 1.933 * [backup-simplify]: Simplify im into im 1.933 * [backup-simplify]: Simplify (exp im) into (exp im) 1.933 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 1.933 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.933 * [taylor]: Taking taylor expansion of (exp im) in im 1.933 * [taylor]: Taking taylor expansion of im in im 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (exp 0) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (+ 0) into 0 1.934 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))))) into 0 1.934 * [taylor]: Taking taylor expansion of 0 in im 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 1.936 * [backup-simplify]: Simplify -1 into -1 1.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.938 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (/ -1/2 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into (- (* 1/2 (/ 1 (exp im)))) 1.938 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (exp im)))) in im 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 1.938 * [taylor]: Taking taylor expansion of 1/2 in im 1.938 * [backup-simplify]: Simplify 1/2 into 1/2 1.938 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 1.938 * [taylor]: Taking taylor expansion of (exp im) in im 1.938 * [taylor]: Taking taylor expansion of im in im 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (exp 0) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.939 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.939 * [backup-simplify]: Simplify -1/2 into -1/2 1.940 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 re) 2)) (+ (* -1 (* im 1)) 1)) into (- 1 (+ (* 1/2 (pow re 2)) im)) 1.940 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.940 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 1.940 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.940 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.940 * [backup-simplify]: Simplify re into re 1.940 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.940 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.940 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.940 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.940 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.940 * [taylor]: Taking taylor expansion of im in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.941 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.941 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.941 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.941 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.941 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.941 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.941 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.941 * [taylor]: Taking taylor expansion of re in re 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.942 * [backup-simplify]: Simplify (/ 1 1) into 1 1.942 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.942 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.942 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.942 * [taylor]: Taking taylor expansion of im in re 1.942 * [backup-simplify]: Simplify im into im 1.942 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.942 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.942 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.942 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 1.942 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.942 * [taylor]: Taking taylor expansion of re in re 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ 1 1) into 1 1.943 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.943 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.943 * [taylor]: Taking taylor expansion of im in re 1.943 * [backup-simplify]: Simplify im into im 1.943 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.943 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.943 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.943 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 1.943 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.943 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.943 * [taylor]: Taking taylor expansion of re in im 1.943 * [backup-simplify]: Simplify re into re 1.943 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.943 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.943 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.943 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.943 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.943 * [taylor]: Taking taylor expansion of im in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.944 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.944 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.944 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.945 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.945 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.945 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 1.946 * [taylor]: Taking taylor expansion of 0 in im 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (+ 0) into 0 1.946 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.950 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in im 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.952 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.953 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.955 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 1.955 * [taylor]: Taking taylor expansion of 0 in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (/ (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im)))) into (/ (cos re) (exp im)) 1.956 * [backup-simplify]: Simplify (/ (cos (/ 1 (- re))) (exp (/ 1 (- im)))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.956 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 1.956 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.956 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.956 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.956 * [taylor]: Taking taylor expansion of -1 in im 1.956 * [backup-simplify]: Simplify -1 into -1 1.956 * [taylor]: Taking taylor expansion of re in im 1.956 * [backup-simplify]: Simplify re into re 1.956 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.956 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.956 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.956 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.956 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.956 * [taylor]: Taking taylor expansion of -1 in im 1.956 * [backup-simplify]: Simplify -1 into -1 1.956 * [taylor]: Taking taylor expansion of im in im 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify (/ -1 1) into -1 1.956 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.956 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.956 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.957 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.957 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.957 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.957 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.957 * [taylor]: Taking taylor expansion of -1 in re 1.957 * [backup-simplify]: Simplify -1 into -1 1.957 * [taylor]: Taking taylor expansion of re in re 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (/ -1 1) into -1 1.957 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.957 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.957 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.957 * [taylor]: Taking taylor expansion of -1 in re 1.957 * [backup-simplify]: Simplify -1 into -1 1.957 * [taylor]: Taking taylor expansion of im in re 1.957 * [backup-simplify]: Simplify im into im 1.957 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.957 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.957 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.957 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 1.957 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.957 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.957 * [taylor]: Taking taylor expansion of -1 in re 1.957 * [backup-simplify]: Simplify -1 into -1 1.958 * [taylor]: Taking taylor expansion of re in re 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ -1 1) into -1 1.958 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.958 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.958 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.958 * [taylor]: Taking taylor expansion of -1 in re 1.958 * [backup-simplify]: Simplify -1 into -1 1.958 * [taylor]: Taking taylor expansion of im in re 1.958 * [backup-simplify]: Simplify im into im 1.958 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.958 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.958 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.958 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 1.958 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.958 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.959 * [taylor]: Taking taylor expansion of -1 in im 1.959 * [backup-simplify]: Simplify -1 into -1 1.959 * [taylor]: Taking taylor expansion of re in im 1.959 * [backup-simplify]: Simplify re into re 1.959 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.959 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.959 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.959 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.959 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.959 * [taylor]: Taking taylor expansion of -1 in im 1.959 * [backup-simplify]: Simplify -1 into -1 1.959 * [taylor]: Taking taylor expansion of im in im 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ -1 1) into -1 1.959 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.960 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.960 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.960 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.960 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 1.960 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.961 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 1.961 * [taylor]: Taking taylor expansion of 0 in im 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 1.963 * [backup-simplify]: Simplify (- 0) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.965 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 1.965 * [taylor]: Taking taylor expansion of 0 in im 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.969 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 1.969 * [taylor]: Taking taylor expansion of 0 in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (/ (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im))))) into (/ (cos re) (exp im)) 1.969 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 1.969 * [backup-simplify]: Simplify (* (cos re) (exp im)) into (* (exp im) (cos re)) 1.969 * [approximate]: Taking taylor expansion of (* (exp im) (cos re)) in (re im) around 0 1.969 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 1.969 * [taylor]: Taking taylor expansion of (exp im) in im 1.969 * [taylor]: Taking taylor expansion of im in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (exp 0) into 1 1.969 * [taylor]: Taking taylor expansion of (cos re) in im 1.969 * [taylor]: Taking taylor expansion of re in im 1.969 * [backup-simplify]: Simplify re into re 1.969 * [backup-simplify]: Simplify (cos re) into (cos re) 1.969 * [backup-simplify]: Simplify (sin re) into (sin re) 1.969 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.969 * [taylor]: Taking taylor expansion of (exp im) in re 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [backup-simplify]: Simplify (exp im) into (exp im) 1.969 * [taylor]: Taking taylor expansion of (cos re) in re 1.969 * [taylor]: Taking taylor expansion of re in re 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 1.969 * [taylor]: Taking taylor expansion of (exp im) in re 1.969 * [taylor]: Taking taylor expansion of im in re 1.969 * [backup-simplify]: Simplify im into im 1.969 * [backup-simplify]: Simplify (exp im) into (exp im) 1.969 * [taylor]: Taking taylor expansion of (cos re) in re 1.970 * [taylor]: Taking taylor expansion of re in re 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* (exp im) 1) into (exp im) 1.970 * [taylor]: Taking taylor expansion of (exp im) in im 1.970 * [taylor]: Taking taylor expansion of im in im 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (exp 0) into 1 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (+ 0) into 0 1.970 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 1)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.973 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.973 * [backup-simplify]: Simplify (+ (* (exp im) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (exp im))) 1.973 * [taylor]: Taking taylor expansion of (- (* 1/2 (exp im))) in im 1.973 * [taylor]: Taking taylor expansion of (* 1/2 (exp im)) in im 1.973 * [taylor]: Taking taylor expansion of 1/2 in im 1.973 * [backup-simplify]: Simplify 1/2 into 1/2 1.973 * [taylor]: Taking taylor expansion of (exp im) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (exp 0) into 1 1.974 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.974 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.974 * [backup-simplify]: Simplify -1/2 into -1/2 1.974 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 re) 2)) (+ (* 1 (* im 1)) 1)) into (- (+ im 1) (* 1/2 (pow re 2))) 1.974 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 1.974 * [approximate]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in (re im) around 0 1.974 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.974 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.974 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.974 * [taylor]: Taking taylor expansion of re in im 1.974 * [backup-simplify]: Simplify re into re 1.974 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.974 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.974 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.974 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.974 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.974 * [taylor]: Taking taylor expansion of im in im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.975 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.975 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.975 * [taylor]: Taking taylor expansion of re in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.975 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.975 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.975 * [taylor]: Taking taylor expansion of im in re 1.975 * [backup-simplify]: Simplify im into im 1.975 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.975 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.975 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 1.975 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 1.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.975 * [taylor]: Taking taylor expansion of re in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [backup-simplify]: Simplify im into im 1.976 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.976 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.976 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 1.976 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 1.976 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.976 * [backup-simplify]: Simplify re into re 1.976 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.976 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 1.976 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 1.976 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.976 * [taylor]: Taking taylor expansion of im in im 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 1.976 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 1.976 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 1.977 * [backup-simplify]: Simplify (- 0) into 0 1.977 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 1.977 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 1.977 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 1.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.978 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in im 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ 0) into 0 1.978 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 1.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.979 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 1.979 * [backup-simplify]: Simplify (- 0) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.980 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.981 * [taylor]: Taking taylor expansion of 0 in im 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.982 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.983 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.985 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in im 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im)))) into (* (exp im) (cos re)) 1.985 * [backup-simplify]: Simplify (* (cos (/ 1 (- re))) (exp (/ 1 (- im)))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 1.985 * [approximate]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in (re im) around 0 1.985 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im 1.985 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.985 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.985 * [taylor]: Taking taylor expansion of -1 in im 1.985 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of re in im 1.986 * [backup-simplify]: Simplify re into re 1.986 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.986 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.986 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.986 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.986 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.986 * [taylor]: Taking taylor expansion of -1 in im 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of im in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ -1 1) into -1 1.986 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.986 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in re 1.986 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.986 * [taylor]: Taking taylor expansion of -1 in re 1.986 * [backup-simplify]: Simplify -1 into -1 1.986 * [taylor]: Taking taylor expansion of re in re 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ -1 1) into -1 1.987 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.987 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.987 * [taylor]: Taking taylor expansion of -1 in re 1.987 * [backup-simplify]: Simplify -1 into -1 1.987 * [taylor]: Taking taylor expansion of im in re 1.987 * [backup-simplify]: Simplify im into im 1.987 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.987 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.987 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in re 1.987 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 1.987 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.987 * [taylor]: Taking taylor expansion of -1 in re 1.987 * [backup-simplify]: Simplify -1 into -1 1.987 * [taylor]: Taking taylor expansion of re in re 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ -1 1) into -1 1.987 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.987 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 1.987 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.987 * [taylor]: Taking taylor expansion of -1 in re 1.987 * [backup-simplify]: Simplify -1 into -1 1.987 * [taylor]: Taking taylor expansion of im in re 1.987 * [backup-simplify]: Simplify im into im 1.987 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.987 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.987 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 1.987 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im 1.987 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 1.987 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.987 * [taylor]: Taking taylor expansion of -1 in im 1.987 * [backup-simplify]: Simplify -1 into -1 1.987 * [taylor]: Taking taylor expansion of re in im 1.987 * [backup-simplify]: Simplify re into re 1.988 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.988 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 1.988 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 1.988 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 1.988 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.988 * [taylor]: Taking taylor expansion of -1 in im 1.988 * [backup-simplify]: Simplify -1 into -1 1.988 * [taylor]: Taking taylor expansion of im in im 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (/ -1 1) into -1 1.988 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 1.988 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 1.988 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 1.988 * [backup-simplify]: Simplify (- 0) into 0 1.988 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 1.988 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 1.989 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 1.989 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.989 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 1.989 * [taylor]: Taking taylor expansion of 0 in im 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ 0) into 0 1.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 1.993 * [backup-simplify]: Simplify (- 0) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.994 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.995 * [taylor]: Taking taylor expansion of 0 in im 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.997 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.998 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 1.998 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.000 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in im 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im))))) into (* (exp im) (cos re)) 2.002 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 2.002 * [backup-simplify]: Simplify (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) into (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) 2.002 * [approximate]: Taking taylor expansion of (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) in (re im) around 0 2.002 * [taylor]: Taking taylor expansion of (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) in im 2.002 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in im 2.002 * [taylor]: Taking taylor expansion of (exp im) in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (exp 0) into 1 2.002 * [taylor]: Taking taylor expansion of (cos re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [backup-simplify]: Simplify re into re 2.002 * [backup-simplify]: Simplify (cos re) into (cos re) 2.002 * [backup-simplify]: Simplify (sin re) into (sin re) 2.002 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in im 2.002 * [taylor]: Taking taylor expansion of (cos re) in im 2.002 * [taylor]: Taking taylor expansion of re in im 2.002 * [backup-simplify]: Simplify re into re 2.002 * [backup-simplify]: Simplify (cos re) into (cos re) 2.002 * [backup-simplify]: Simplify (sin re) into (sin re) 2.002 * [taylor]: Taking taylor expansion of (exp im) in im 2.002 * [taylor]: Taking taylor expansion of im in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (exp 0) into 1 2.002 * [backup-simplify]: Simplify (* (cos re) 1) into (cos re) 2.003 * [backup-simplify]: Simplify (* (sin re) 0) into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ (cos re) 0) into (cos re) 2.003 * [backup-simplify]: Simplify (/ (cos re) 1) into (cos re) 2.003 * [taylor]: Taking taylor expansion of (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) in re 2.003 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 2.003 * [taylor]: Taking taylor expansion of (exp im) in re 2.003 * [taylor]: Taking taylor expansion of im in re 2.003 * [backup-simplify]: Simplify im into im 2.003 * [backup-simplify]: Simplify (exp im) into (exp im) 2.003 * [taylor]: Taking taylor expansion of (cos re) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.003 * [taylor]: Taking taylor expansion of (cos re) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (exp im) in re 2.003 * [taylor]: Taking taylor expansion of im in re 2.003 * [backup-simplify]: Simplify im into im 2.003 * [backup-simplify]: Simplify (exp im) into (exp im) 2.003 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 2.004 * [taylor]: Taking taylor expansion of (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) in re 2.004 * [taylor]: Taking taylor expansion of (* (exp im) (cos re)) in re 2.004 * [taylor]: Taking taylor expansion of (exp im) in re 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [backup-simplify]: Simplify (exp im) into (exp im) 2.004 * [taylor]: Taking taylor expansion of (cos re) in re 2.004 * [taylor]: Taking taylor expansion of re in re 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of (/ (cos re) (exp im)) in re 2.004 * [taylor]: Taking taylor expansion of (cos re) in re 2.004 * [taylor]: Taking taylor expansion of re in re 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of (exp im) in re 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [backup-simplify]: Simplify (exp im) into (exp im) 2.004 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 2.004 * [backup-simplify]: Simplify (* (exp im) 1) into (exp im) 2.004 * [backup-simplify]: Simplify (+ (exp im) (/ 1 (exp im))) into (+ (exp im) (/ 1 (exp im))) 2.004 * [taylor]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in im 2.004 * [taylor]: Taking taylor expansion of (exp im) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (exp 0) into 1 2.004 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 2.004 * [taylor]: Taking taylor expansion of (exp im) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (exp 0) into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ 1 1) into 2 2.005 * [backup-simplify]: Simplify 2 into 2 2.006 * [backup-simplify]: Simplify (+ 0) into 0 2.006 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* (exp im) 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (+ 0) into 0 2.008 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 1) 1)))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [taylor]: Taking taylor expansion of 0 in im 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.010 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 2.011 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.013 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* (exp im) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (exp im))) 2.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 2.016 * [backup-simplify]: Simplify (* (exp im) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (/ -1/2 (exp im)) (+ (* (/ 1 (exp im)) (/ 0 (exp im))) (* 0 (/ 0 (exp im))))) into (- (* 1/2 (/ 1 (exp im)))) 2.016 * [backup-simplify]: Simplify (+ (- (* 1/2 (exp im))) (- (* 1/2 (/ 1 (exp im))))) into (- (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) 2.016 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im))))) in im 2.016 * [taylor]: Taking taylor expansion of (+ (* 1/2 (exp im)) (* 1/2 (/ 1 (exp im)))) in im 2.016 * [taylor]: Taking taylor expansion of (* 1/2 (exp im)) in im 2.016 * [taylor]: Taking taylor expansion of 1/2 in im 2.016 * [backup-simplify]: Simplify 1/2 into 1/2 2.017 * [taylor]: Taking taylor expansion of (exp im) in im 2.017 * [taylor]: Taking taylor expansion of im in im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (exp 0) into 1 2.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (exp im))) in im 2.017 * [taylor]: Taking taylor expansion of 1/2 in im 2.017 * [backup-simplify]: Simplify 1/2 into 1/2 2.017 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 2.017 * [taylor]: Taking taylor expansion of (exp im) in im 2.017 * [taylor]: Taking taylor expansion of im in im 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (exp 0) into 1 2.017 * [backup-simplify]: Simplify (/ 1 1) into 1 2.018 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.018 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.018 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.019 * [backup-simplify]: Simplify (- 1) into -1 2.019 * [backup-simplify]: Simplify -1 into -1 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.022 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 2.023 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (+ (* -1 (pow (* 1 re) 2)) 2)) into (- (+ (pow im 2) 2) (pow re 2)) 2.024 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) (exp (/ 1 im))) (/ (cos (/ 1 re)) (exp (/ 1 im)))) into (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) 2.024 * [approximate]: Taking taylor expansion of (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) in (re im) around 0 2.024 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.024 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 2.024 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.024 * [taylor]: Taking taylor expansion of re in im 2.024 * [backup-simplify]: Simplify re into re 2.024 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.024 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.024 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 2.024 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.024 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.025 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 2.025 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 2.025 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 2.025 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.025 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.025 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.025 * [taylor]: Taking taylor expansion of re in im 2.025 * [backup-simplify]: Simplify re into re 2.025 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.025 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.026 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 2.026 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.026 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (/ 1 1) into 1 2.026 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.026 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.026 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 2.026 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.026 * [taylor]: Taking taylor expansion of re in re 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.027 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.027 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.027 * [taylor]: Taking taylor expansion of im in re 2.027 * [backup-simplify]: Simplify im into im 2.027 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.027 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.027 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 2.027 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.027 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.027 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.028 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [backup-simplify]: Simplify im into im 2.028 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.028 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.028 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) in re 2.028 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in re 2.028 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.028 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.028 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [backup-simplify]: Simplify im into im 2.028 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.029 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.029 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 2.029 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in re 2.029 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in re 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.029 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in re 2.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.029 * [taylor]: Taking taylor expansion of im in re 2.029 * [backup-simplify]: Simplify im into im 2.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.029 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.030 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 2.030 * [backup-simplify]: Simplify (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) into (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) 2.030 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) in im 2.030 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 re)) (exp (/ 1 im))) in im 2.030 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.030 * [taylor]: Taking taylor expansion of re in im 2.030 * [backup-simplify]: Simplify re into re 2.030 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.030 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.030 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 2.030 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.030 * [taylor]: Taking taylor expansion of im in im 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.031 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 2.031 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 2.031 * [backup-simplify]: Simplify (- 0) into 0 2.031 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 2.031 * [backup-simplify]: Simplify (/ (cos (/ 1 re)) (exp (/ 1 im))) into (/ (cos (/ 1 re)) (exp (/ 1 im))) 2.031 * [taylor]: Taking taylor expansion of (* (cos (/ 1 re)) (exp (/ 1 im))) in im 2.031 * [taylor]: Taking taylor expansion of (cos (/ 1 re)) in im 2.031 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.031 * [taylor]: Taking taylor expansion of re in im 2.032 * [backup-simplify]: Simplify re into re 2.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.032 * [backup-simplify]: Simplify (cos (/ 1 re)) into (cos (/ 1 re)) 2.032 * [backup-simplify]: Simplify (sin (/ 1 re)) into (sin (/ 1 re)) 2.032 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 2.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.032 * [taylor]: Taking taylor expansion of im in im 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 2.032 * [backup-simplify]: Simplify (* (cos (/ 1 re)) 1) into (cos (/ 1 re)) 2.032 * [backup-simplify]: Simplify (* (sin (/ 1 re)) 0) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify (+ (cos (/ 1 re)) 0) into (cos (/ 1 re)) 2.033 * [backup-simplify]: Simplify (* (cos (/ 1 re)) (exp (/ 1 im))) into (* (cos (/ 1 re)) (exp (/ 1 im))) 2.033 * [backup-simplify]: Simplify (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) into (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) 2.033 * [backup-simplify]: Simplify (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) into (+ (/ (cos (/ 1 re)) (exp (/ 1 im))) (* (cos (/ 1 re)) (exp (/ 1 im)))) 2.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.034 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.035 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.036 * [taylor]: Taking taylor expansion of 0 in im 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ 0) into 0 2.036 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.038 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 2.039 * [backup-simplify]: Simplify (+ 0) into 0 2.039 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.040 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.040 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (* 0 0)) into 0 2.041 * [backup-simplify]: Simplify (- 0) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (* 0 (exp (/ 1 im)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.043 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.044 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [taylor]: Taking taylor expansion of 0 in im 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.048 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 2.048 * [backup-simplify]: Simplify (- 0) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 2.049 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.050 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.051 * [backup-simplify]: Simplify (+ (* (sin (/ 1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (* 0 (exp (/ 1 im))))) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.054 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 (exp (/ 1 im))) (+ (* (/ (cos (/ 1 re)) (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 2.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.056 * [backup-simplify]: Simplify (* (exp (/ 1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1 im)))))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [taylor]: Taking taylor expansion of 0 in im 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (+ (/ (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im)))) (* (cos (/ 1 (/ 1 re))) (exp (/ 1 (/ 1 im))))) into (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) 2.057 * [backup-simplify]: Simplify (+ (* (cos (/ 1 (- re))) (exp (/ 1 (- im)))) (/ (cos (/ 1 (- re))) (exp (/ 1 (- im))))) into (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) 2.057 * [approximate]: Taking taylor expansion of (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) in (re im) around 0 2.057 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) in im 2.057 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 2.057 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.057 * [taylor]: Taking taylor expansion of -1 in im 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [backup-simplify]: Simplify re into re 2.057 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.058 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.058 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 2.058 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.058 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.058 * [taylor]: Taking taylor expansion of -1 in im 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of im in im 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.058 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 2.058 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 2.058 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 2.058 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im 2.058 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.058 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.059 * [taylor]: Taking taylor expansion of -1 in im 2.059 * [backup-simplify]: Simplify -1 into -1 2.059 * [taylor]: Taking taylor expansion of re in im 2.059 * [backup-simplify]: Simplify re into re 2.059 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.059 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.059 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 2.059 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.059 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.059 * [taylor]: Taking taylor expansion of -1 in im 2.059 * [backup-simplify]: Simplify -1 into -1 2.059 * [taylor]: Taking taylor expansion of im in im 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (/ -1 1) into -1 2.059 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.059 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) in re 2.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 2.059 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.059 * [taylor]: Taking taylor expansion of -1 in re 2.059 * [backup-simplify]: Simplify -1 into -1 2.059 * [taylor]: Taking taylor expansion of re in re 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ -1 1) into -1 2.060 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.060 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of im in re 2.060 * [backup-simplify]: Simplify im into im 2.060 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.060 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.060 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 2.060 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in re 2.060 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of re in re 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ -1 1) into -1 2.060 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.060 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of im in re 2.060 * [backup-simplify]: Simplify im into im 2.060 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.060 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.060 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) in re 2.060 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in re 2.060 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.060 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.060 * [taylor]: Taking taylor expansion of -1 in re 2.060 * [backup-simplify]: Simplify -1 into -1 2.060 * [taylor]: Taking taylor expansion of re in re 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ -1 1) into -1 2.061 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.061 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.061 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.061 * [taylor]: Taking taylor expansion of -1 in re 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of im in re 2.061 * [backup-simplify]: Simplify im into im 2.061 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.061 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.061 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 2.061 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in re 2.061 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in re 2.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.061 * [taylor]: Taking taylor expansion of -1 in re 2.061 * [backup-simplify]: Simplify -1 into -1 2.061 * [taylor]: Taking taylor expansion of re in re 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (/ -1 1) into -1 2.061 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.062 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in re 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.062 * [taylor]: Taking taylor expansion of -1 in re 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of im in re 2.062 * [backup-simplify]: Simplify im into im 2.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.062 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.062 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 2.062 * [backup-simplify]: Simplify (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) into (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) 2.062 * [taylor]: Taking taylor expansion of (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) in im 2.062 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 re)) (exp (/ -1 im))) in im 2.062 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.062 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.062 * [taylor]: Taking taylor expansion of -1 in im 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of re in im 2.062 * [backup-simplify]: Simplify re into re 2.062 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.062 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.062 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 2.062 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.062 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.062 * [taylor]: Taking taylor expansion of -1 in im 2.062 * [backup-simplify]: Simplify -1 into -1 2.062 * [taylor]: Taking taylor expansion of im in im 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ -1 1) into -1 2.063 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.063 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 2.063 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 2.063 * [backup-simplify]: Simplify (/ (cos (/ -1 re)) (exp (/ -1 im))) into (/ (cos (/ -1 re)) (exp (/ -1 im))) 2.063 * [taylor]: Taking taylor expansion of (* (cos (/ -1 re)) (exp (/ -1 im))) in im 2.063 * [taylor]: Taking taylor expansion of (cos (/ -1 re)) in im 2.063 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.063 * [taylor]: Taking taylor expansion of -1 in im 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of re in im 2.063 * [backup-simplify]: Simplify re into re 2.063 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.063 * [backup-simplify]: Simplify (cos (/ -1 re)) into (cos (/ -1 re)) 2.063 * [backup-simplify]: Simplify (sin (/ -1 re)) into (sin (/ -1 re)) 2.063 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 2.063 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.063 * [taylor]: Taking taylor expansion of -1 in im 2.063 * [backup-simplify]: Simplify -1 into -1 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.064 * [backup-simplify]: Simplify (/ -1 1) into -1 2.064 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 2.064 * [backup-simplify]: Simplify (* (cos (/ -1 re)) 1) into (cos (/ -1 re)) 2.064 * [backup-simplify]: Simplify (* (sin (/ -1 re)) 0) into 0 2.064 * [backup-simplify]: Simplify (- 0) into 0 2.064 * [backup-simplify]: Simplify (+ (cos (/ -1 re)) 0) into (cos (/ -1 re)) 2.064 * [backup-simplify]: Simplify (* (cos (/ -1 re)) (exp (/ -1 im))) into (* (cos (/ -1 re)) (exp (/ -1 im))) 2.064 * [backup-simplify]: Simplify (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) into (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) 2.064 * [backup-simplify]: Simplify (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) into (+ (/ (cos (/ -1 re)) (exp (/ -1 im))) (* (cos (/ -1 re)) (exp (/ -1 im)))) 2.065 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.065 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.066 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 1) 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (+ 0) into 0 2.067 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.068 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 2.068 * [backup-simplify]: Simplify (- 0) into 0 2.068 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 2.069 * [backup-simplify]: Simplify (+ 0) into 0 2.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 1)) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 2.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (* 0 0)) into 0 2.070 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (* 0 (exp (/ -1 im)))) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.073 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.074 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [taylor]: Taking taylor expansion of 0 in im 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.077 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.078 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 2.078 * [backup-simplify]: Simplify (- 0) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 2.079 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 2.080 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 2.081 * [backup-simplify]: Simplify (+ (* (sin (/ -1 re)) 0) (+ (* 0 0) (* 0 0))) into 0 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (* 0 (exp (/ -1 im))))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.084 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 (exp (/ -1 im))) (+ (* (/ (cos (/ -1 re)) (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.086 * [backup-simplify]: Simplify (* (exp (/ -1 im)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* (cos (/ -1 re)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1 im)))))) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [taylor]: Taking taylor expansion of 0 in im 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (/ (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im))))) (* (cos (/ -1 (/ 1 (- re)))) (exp (/ -1 (/ 1 (- im)))))) into (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) 2.088 * * * [progress]: simplifying candidates 2.088 * * * * [progress]: [ 1 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 2 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 3 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 4 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 5 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 6 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 7 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 8 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 9 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 10 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 11 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 12 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 13 / 69 ] simplifiying candidate # 2.088 * * * * [progress]: [ 14 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 15 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 16 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 17 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 18 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 19 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 20 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 21 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 22 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 23 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 24 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 25 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 26 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 27 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 28 / 69 ] simplifiying candidate #real (real->posit16 (/ (cos re) (exp im)))))))> 2.089 * * * * [progress]: [ 29 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 30 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 31 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 32 / 69 ] simplifiying candidate # 2.089 * * * * [progress]: [ 33 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 34 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 35 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 36 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 37 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 38 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 39 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 40 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 41 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 42 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 43 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 44 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 45 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 46 / 69 ] simplifiying candidate #real (real->posit16 (* (cos re) (exp im)))) (/ (cos re) (exp im)))))> 2.090 * * * * [progress]: [ 47 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 48 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 49 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 50 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 51 / 69 ] simplifiying candidate # 2.090 * * * * [progress]: [ 52 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 53 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 54 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 55 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 56 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 57 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 58 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 59 / 69 ] simplifiying candidate #real (real->posit16 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))))))> 2.091 * * * * [progress]: [ 60 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 61 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 62 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 63 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 64 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 65 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 66 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 67 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 68 / 69 ] simplifiying candidate # 2.091 * * * * [progress]: [ 69 / 69 ] simplifiying candidate # 2.092 * [simplify]: Simplifying: (- (log (cos re)) im) (log (/ (cos re) (exp im))) (exp (/ (cos re) (exp im))) (/ (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (/ (* (cbrt (cos re)) (cbrt (cos re))) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) 1) (/ (cbrt (cos re)) (exp im)) (/ (sqrt (cos re)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) 1) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) (/ 1 1) (/ (cos re) (exp im)) (/ 1 (exp im)) (/ (exp im) (cos re)) (/ (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (sqrt (exp im))) (/ (cos re) 1) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (real->posit16 (/ (cos re) (exp im))) (* (cos re) (exp im)) (+ (log (cos re)) im) (log (* (cos re) (exp im))) (exp (* (cos re) (exp im))) (* (* (* (cos re) (cos re)) (cos re)) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (* (cos re) (exp im))) (cbrt (* (cos re) (exp im)))) (cbrt (* (cos re) (exp im))) (* (* (* (cos re) (exp im)) (* (cos re) (exp im))) (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (cos re) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cos re) (sqrt (exp im))) (* (cos re) 1) (* (cbrt (cos re)) (exp im)) (* (sqrt (cos re)) (exp im)) (* (cos re) (exp im)) (real->posit16 (* (cos re) (exp im))) (* (exp (* (cos re) (exp im))) (exp (/ (cos re) (exp im)))) (log (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (exp (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (* (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))) (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (* (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (sqrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (sqrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (pow (* (cos re) (exp im)) 3) (pow (/ (cos re) (exp im)) 3)) (+ (* (* (cos re) (exp im)) (* (cos re) (exp im))) (- (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (* (cos re) (exp im)) (/ (cos re) (exp im))))) (- (* (* (cos re) (exp im)) (* (cos re) (exp im))) (* (/ (cos re) (exp im)) (/ (cos re) (exp im)))) (- (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (exp im) (/ 1 (exp im))) (real->posit16 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (- 1 (+ (* 1/2 (pow re 2)) im)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (- (+ im 1) (* 1/2 (pow re 2))) (* (exp im) (cos re)) (* (exp im) (cos re)) (- (+ (pow im 2) 2) (pow re 2)) (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) (+ (* (exp im) (cos re)) (/ (cos re) (exp im))) 2.094 * * [simplify]: iteration 0: 101 enodes 2.120 * * [simplify]: iteration 1: 238 enodes 2.196 * * [simplify]: iteration 2: 660 enodes 2.440 * * [simplify]: iteration complete: 2001 enodes 2.440 * * [simplify]: Extracting #0: cost 61 inf + 0 2.441 * * [simplify]: Extracting #1: cost 291 inf + 1 2.445 * * [simplify]: Extracting #2: cost 525 inf + 9998 2.468 * * [simplify]: Extracting #3: cost 203 inf + 98546 2.499 * * [simplify]: Extracting #4: cost 29 inf + 136435 2.535 * * [simplify]: Extracting #5: cost 2 inf + 143011 2.569 * * [simplify]: Extracting #6: cost 0 inf + 143459 2.603 * [simplify]: Simplified to: (- (log (cos re)) im) (- (log (cos re)) im) (exp (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (* (cbrt (/ (cos re) (exp im))) (cbrt (/ (cos re) (exp im)))) (cbrt (/ (cos re) (exp im))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (sqrt (/ (cos re) (exp im))) (- (cos re)) (- (exp im)) (* (/ (cbrt (cos re)) (cbrt (exp im))) (/ (cbrt (cos re)) (cbrt (exp im)))) (/ (cbrt (cos re)) (cbrt (exp im))) (/ (* (cbrt (cos re)) (cbrt (cos re))) (sqrt (exp im))) (/ (cbrt (cos re)) (sqrt (exp im))) (* (cbrt (cos re)) (cbrt (cos re))) (/ (cbrt (cos re)) (exp im)) (/ (/ (sqrt (cos re)) (cbrt (exp im))) (cbrt (exp im))) (/ (sqrt (cos re)) (cbrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (/ (sqrt (cos re)) (sqrt (exp im))) (sqrt (cos re)) (/ (sqrt (cos re)) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cos re) (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ (cos re) (sqrt (exp im))) 1 (/ (cos re) (exp im)) (exp (- im)) (/ (exp im) (cos re)) (/ (/ (cos re) (cbrt (exp im))) (cbrt (exp im))) (/ (cos re) (sqrt (exp im))) (cos re) (/ (exp im) (cbrt (cos re))) (/ (exp im) (sqrt (cos re))) (/ (exp im) (cos re)) (real->posit16 (/ (cos re) (exp im))) (* (cos re) (exp im)) (+ (log (cos re)) im) (+ (log (cos re)) im) (exp (* (cos re) (exp im))) (* (* (cos re) (exp im)) (* (* (cos re) (exp im)) (* (cos re) (exp im)))) (* (cbrt (* (cos re) (exp im))) (cbrt (* (cos re) (exp im)))) (cbrt (* (cos re) (exp im))) (* (* (cos re) (exp im)) (* (* (cos re) (exp im)) (* (cos re) (exp im)))) (sqrt (* (cos re) (exp im))) (sqrt (* (cos re) (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (sqrt (cos re)) (sqrt (exp im))) (* (cbrt (exp im)) (* (cbrt (exp im)) (cos re))) (* (sqrt (exp im)) (cos re)) (cos re) (* (exp im) (cbrt (cos re))) (* (exp im) (sqrt (cos re))) (* (cos re) (exp im)) (real->posit16 (* (cos re) (exp im))) (exp (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (log (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (exp (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (* (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))) (cbrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (* (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))))) (sqrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (sqrt (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (+ (* (* (cos re) (exp im)) (* (* (cos re) (exp im)) (* (cos re) (exp im)))) (* (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (/ (cos re) (exp im)))) (+ (* (/ (cos re) (exp im)) (/ (cos re) (exp im))) (* (* (cos re) (exp im)) (- (* (cos re) (exp im)) (/ (cos re) (exp im))))) (- (* (* (cos re) (exp im)) (* (cos re) (exp im))) (* (/ (cos re) (exp im)) (/ (cos re) (exp im)))) (- (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (exp im) (exp (- im))) (real->posit16 (+ (* (cos re) (exp im)) (/ (cos re) (exp im)))) (- (- 1 im) (* (* 1/2 re) re)) (/ (cos re) (exp im)) (/ (cos re) (exp im)) (- 1 (- (* (* 1/2 re) re) im)) (* (cos re) (exp im)) (* (cos re) (exp im)) (- (+ (* im im) 2) (* re re)) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) (+ (* (cos re) (exp im)) (/ (cos re) (exp im))) 2.608 * * * [progress]: adding candidates to table 2.900 * [progress]: [Phase 3 of 3] Extracting. 2.900 * * [regime]: Finding splitpoints for: (# #) 2.901 * * * [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) 2.901 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 2.931 * * * * [regimes]: Trying to branch on (cos re) from (# #) 2.954 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 2.985 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 3.017 * * * * [regimes]: Trying to branch on im from (# #) 3.036 * * * * [regimes]: Trying to branch on re from (# #) 3.061 * * * [regime]: Found split indices: #