7.159 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.166 * * * [progress]: [2/2] Setting up program. 0.174 * [progress]: [Phase 2 of 3] Improving. 0.175 * [simplify]: Simplifying: (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) 0.175 * * [simplify]: iteration 0: 10 enodes 0.178 * * [simplify]: iteration 1: 23 enodes 0.225 * * [simplify]: iteration 2: 59 enodes 0.244 * * [simplify]: iteration 3: 108 enodes 0.280 * * [simplify]: iteration 4: 489 enodes 1.776 * * [simplify]: iteration 5: 4343 enodes 4.728 * * [simplify]: iteration complete: 5000 enodes 4.728 * * [simplify]: Extracting #0: cost 1 inf + 0 4.730 * * [simplify]: Extracting #1: cost 616 inf + 0 4.734 * * [simplify]: Extracting #2: cost 1328 inf + 338 4.745 * * [simplify]: Extracting #3: cost 1195 inf + 22705 4.764 * * [simplify]: Extracting #4: cost 310 inf + 164059 4.801 * * [simplify]: Extracting #5: cost 6 inf + 226122 4.851 * * [simplify]: Extracting #6: cost 0 inf + 227385 4.897 * [simplify]: Simplified to: (* (fma (cos re) (exp im) (/ (cos re) (exp im))) 0.5) 4.907 * * [progress]: iteration 1 / 4 4.907 * * * [progress]: picking best candidate 4.917 * * * * [pick]: Picked # 4.917 * * * [progress]: localizing error 4.931 * * * [progress]: generating rewritten candidates 4.932 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 4.948 * * * [progress]: generating series expansions 4.948 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 4.949 * [backup-simplify]: Simplify (+ (exp (- im)) (exp im)) into (+ (exp (- im)) (exp im)) 4.949 * [approximate]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in (im) around 0 4.949 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im 4.949 * [taylor]: Taking taylor expansion of (exp (- im)) in im 4.949 * [taylor]: Taking taylor expansion of (- im) in im 4.949 * [taylor]: Taking taylor expansion of im in im 4.949 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify 1 into 1 4.949 * [backup-simplify]: Simplify (- 0) into 0 4.950 * [backup-simplify]: Simplify (- 1) into -1 4.950 * [backup-simplify]: Simplify (exp 0) into 1 4.950 * [taylor]: Taking taylor expansion of (exp im) in im 4.950 * [taylor]: Taking taylor expansion of im in im 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (exp 0) into 1 4.950 * [taylor]: Taking taylor expansion of (+ (exp (- im)) (exp im)) in im 4.950 * [taylor]: Taking taylor expansion of (exp (- im)) in im 4.950 * [taylor]: Taking taylor expansion of (- im) in im 4.950 * [taylor]: Taking taylor expansion of im in im 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (- 0) into 0 4.950 * [backup-simplify]: Simplify (- 1) into -1 4.950 * [backup-simplify]: Simplify (exp 0) into 1 4.950 * [taylor]: Taking taylor expansion of (exp im) in im 4.950 * [taylor]: Taking taylor expansion of im in im 4.950 * [backup-simplify]: Simplify 0 into 0 4.950 * [backup-simplify]: Simplify 1 into 1 4.950 * [backup-simplify]: Simplify (exp 0) into 1 4.951 * [backup-simplify]: Simplify (+ 1 1) into 2 4.951 * [backup-simplify]: Simplify 2 into 2 4.951 * [backup-simplify]: Simplify (- 1) into -1 4.952 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 1) 1)))) into -1 4.953 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 4.954 * [backup-simplify]: Simplify (+ -1 1) into 0 4.954 * [backup-simplify]: Simplify 0 into 0 4.954 * [backup-simplify]: Simplify (- 1) into -1 4.954 * [backup-simplify]: Simplify (- 0) into 0 4.956 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 4.957 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 4.957 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 4.957 * [backup-simplify]: Simplify 1 into 1 4.958 * [backup-simplify]: Simplify (- 1) into -1 4.958 * [backup-simplify]: Simplify (- 1) into -1 4.959 * [backup-simplify]: Simplify (- 0) into 0 4.959 * [backup-simplify]: Simplify (- 0) into 0 4.961 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 3) 6)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into -1/6 4.963 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 4.964 * [backup-simplify]: Simplify (+ -1/6 1/6) into 0 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify (- 1) into -1 4.965 * [backup-simplify]: Simplify (- 1) into -1 4.965 * [backup-simplify]: Simplify (- 0) into 0 4.965 * [backup-simplify]: Simplify (- 1) into -1 4.966 * [backup-simplify]: Simplify (- 0) into 0 4.971 * [backup-simplify]: Simplify (- 0) into 0 4.972 * [backup-simplify]: Simplify (- 0) into 0 4.978 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow -1 4) 24)) (* (/ (pow -1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow -1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 4.982 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 4.983 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 4.983 * [backup-simplify]: Simplify 1/12 into 1/12 4.984 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (pow im 2) (+ (* 1/12 (pow im 4)) 2)) 4.984 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 4.984 * [approximate]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in (im) around 0 4.984 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 4.984 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 4.984 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 4.984 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.985 * [taylor]: Taking taylor expansion of im in im 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 1 into 1 4.985 * [backup-simplify]: Simplify (/ 1 1) into 1 4.985 * [backup-simplify]: Simplify (- 1) into -1 4.986 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 4.986 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.986 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.986 * [taylor]: Taking taylor expansion of im in im 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 1 into 1 4.986 * [backup-simplify]: Simplify (/ 1 1) into 1 4.986 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 4.986 * [taylor]: Taking taylor expansion of (+ (exp (- (/ 1 im))) (exp (/ 1 im))) in im 4.986 * [taylor]: Taking taylor expansion of (exp (- (/ 1 im))) in im 4.986 * [taylor]: Taking taylor expansion of (- (/ 1 im)) in im 4.986 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.986 * [taylor]: Taking taylor expansion of im in im 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [backup-simplify]: Simplify (- 1) into -1 4.987 * [backup-simplify]: Simplify (exp (- (/ 1 im))) into (exp (- (/ 1 im))) 4.987 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.987 * [taylor]: Taking taylor expansion of im in im 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.988 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 4.988 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 4.988 * [backup-simplify]: Simplify (+ (exp (- (/ 1 im))) (exp (/ 1 im))) into (+ (exp (- (/ 1 im))) (exp (/ 1 im))) 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify (+ 0 0) into 0 4.989 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ 0 0) into 0 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp (- im)) (exp im)) 4.991 * [backup-simplify]: Simplify (+ (exp (- (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 4.991 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in (im) around 0 4.991 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 4.991 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.991 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.991 * [taylor]: Taking taylor expansion of -1 in im 4.991 * [backup-simplify]: Simplify -1 into -1 4.991 * [taylor]: Taking taylor expansion of im in im 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ -1 1) into -1 4.992 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 4.992 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.992 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.992 * [taylor]: Taking taylor expansion of im in im 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ 1 1) into 1 4.992 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 4.992 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 im)) (exp (/ 1 im))) in im 4.992 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 4.992 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.992 * [taylor]: Taking taylor expansion of -1 in im 4.992 * [backup-simplify]: Simplify -1 into -1 4.992 * [taylor]: Taking taylor expansion of im in im 4.992 * [backup-simplify]: Simplify 0 into 0 4.992 * [backup-simplify]: Simplify 1 into 1 4.992 * [backup-simplify]: Simplify (/ -1 1) into -1 4.992 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 4.992 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 4.992 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.992 * [taylor]: Taking taylor expansion of im in im 4.993 * [backup-simplify]: Simplify 0 into 0 4.993 * [backup-simplify]: Simplify 1 into 1 4.993 * [backup-simplify]: Simplify (/ 1 1) into 1 4.993 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 4.993 * [backup-simplify]: Simplify (+ (exp (/ -1 im)) (exp (/ 1 im))) into (+ (exp (/ 1 im)) (exp (/ -1 im))) 4.993 * [backup-simplify]: Simplify (+ (exp (/ 1 im)) (exp (/ -1 im))) into (+ (exp (/ -1 im)) (exp (/ 1 im))) 4.993 * [backup-simplify]: Simplify (+ 0 0) into 0 4.993 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (+ 0 0) into 0 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- im)))) (exp (/ 1 (/ 1 (- im))))) into (+ (exp im) (exp (* -1 im))) 4.995 * * * [progress]: simplifying candidates 4.995 * [simplify]: Simplifying: (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (* (exp (exp (- im))) (exp (exp im))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp (- im)) (exp im))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (pow (exp (- im)) 3) (pow (exp im) 3)) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))) (- (* (exp (- im)) (exp (- im))) (* (exp im) (exp im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (+ (pow im 2) (+ (* 1/12 (pow im 4)) 2)) (+ (exp (- im)) (exp im)) (+ (exp im) (exp (* -1 im))) 4.996 * * [simplify]: iteration 0: 40 enodes 5.004 * * [simplify]: iteration 1: 110 enodes 5.050 * * [simplify]: iteration 2: 450 enodes 5.558 * * [simplify]: iteration 3: 3115 enodes 6.781 * * [simplify]: iteration complete: 5000 enodes 6.781 * * [simplify]: Extracting #0: cost 14 inf + 0 6.782 * * [simplify]: Extracting #1: cost 207 inf + 0 6.791 * * [simplify]: Extracting #2: cost 881 inf + 10884 6.821 * * [simplify]: Extracting #3: cost 327 inf + 119289 6.856 * * [simplify]: Extracting #4: cost 25 inf + 152957 6.909 * * [simplify]: Extracting #5: cost 0 inf + 164527 6.950 * * [simplify]: Extracting #6: cost 0 inf + 164265 7.024 * [simplify]: Simplified to: (expm1 (+ (/ 1 (exp im)) (exp im))) (log1p (+ (/ 1 (exp im)) (exp im))) (exp (+ (/ 1 (exp im)) (exp im))) (log (+ (/ 1 (exp im)) (exp im))) (exp (+ (/ 1 (exp im)) (exp im))) (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im)))) (cbrt (+ (/ 1 (exp im)) (exp im))) (* (+ (/ 1 (exp im)) (exp im)) (* (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)))) (sqrt (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (+ (* (* (exp im) (exp im)) (exp im)) (/ 1 (* (* (exp im) (exp im)) (exp im)))) (fma (exp im) (exp im) (fma (/ 1 (exp im)) (/ 1 (exp im)) -1)) (* (+ (/ 1 (exp im)) (exp im)) (- (/ 1 (exp im)) (exp im))) (- (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (+ (fma (* 1/12 (* im im)) (* im im) 2) (* im im)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) 7.026 * * * [progress]: adding candidates to table 7.151 * * [progress]: iteration 2 / 4 7.151 * * * [progress]: picking best candidate 7.160 * * * * [pick]: Picked # 7.161 * * * [progress]: localizing error 7.192 * * * [progress]: generating rewritten candidates 7.192 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 1) 7.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 7.216 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 7.252 * * * [progress]: generating series expansions 7.252 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 1) 7.252 * [backup-simplify]: Simplify (/ 1 (exp im)) into (/ 1 (exp im)) 7.252 * [approximate]: Taking taylor expansion of (/ 1 (exp im)) in (im) around 0 7.252 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.252 * [taylor]: Taking taylor expansion of (exp im) in im 7.252 * [taylor]: Taking taylor expansion of im in im 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 1 into 1 7.252 * [backup-simplify]: Simplify (exp 0) into 1 7.253 * [backup-simplify]: Simplify (/ 1 1) into 1 7.253 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.253 * [taylor]: Taking taylor expansion of (exp im) in im 7.253 * [taylor]: Taking taylor expansion of im in im 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (exp 0) into 1 7.253 * [backup-simplify]: Simplify (/ 1 1) into 1 7.254 * [backup-simplify]: Simplify 1 into 1 7.255 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.255 * [backup-simplify]: Simplify -1 into -1 7.257 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 7.258 * [backup-simplify]: Simplify 1/2 into 1/2 7.259 * [backup-simplify]: Simplify (+ (* 1/2 (pow im 2)) (+ (* -1 im) 1)) into (- (+ (* 1/2 (pow im 2)) 1) im) 7.259 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.259 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in (im) around 0 7.259 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.259 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.259 * [taylor]: Taking taylor expansion of im in im 7.259 * [backup-simplify]: Simplify 0 into 0 7.259 * [backup-simplify]: Simplify 1 into 1 7.259 * [backup-simplify]: Simplify (/ 1 1) into 1 7.259 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.259 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.260 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.260 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.260 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.260 * [taylor]: Taking taylor expansion of im in im 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (/ 1 1) into 1 7.260 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.260 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.260 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.261 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.263 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 (/ 1 im)))) into (/ 1 (exp im)) 7.264 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 (- im)))) into (/ 1 (exp (/ -1 im))) 7.264 * [approximate]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in (im) around 0 7.264 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.264 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.264 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.264 * [taylor]: Taking taylor expansion of -1 in im 7.264 * [backup-simplify]: Simplify -1 into -1 7.264 * [taylor]: Taking taylor expansion of im in im 7.264 * [backup-simplify]: Simplify 0 into 0 7.264 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (/ -1 1) into -1 7.265 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.265 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.265 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.265 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.265 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.265 * [taylor]: Taking taylor expansion of -1 in im 7.265 * [backup-simplify]: Simplify -1 into -1 7.265 * [taylor]: Taking taylor expansion of im in im 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.266 * [backup-simplify]: Simplify (/ -1 1) into -1 7.266 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.266 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.266 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.267 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.268 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 (/ 1 (- im))))) into (/ 1 (exp im)) 7.269 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 7.270 * [backup-simplify]: Simplify (log (+ (/ 1 (exp im)) (exp im))) into (log (+ (exp im) (/ 1 (exp im)))) 7.270 * [approximate]: Taking taylor expansion of (log (+ (exp im) (/ 1 (exp im)))) in (im) around 0 7.270 * [taylor]: Taking taylor expansion of (log (+ (exp im) (/ 1 (exp im)))) in im 7.270 * [taylor]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in im 7.270 * [taylor]: Taking taylor expansion of (exp im) in im 7.270 * [taylor]: Taking taylor expansion of im in im 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [backup-simplify]: Simplify (exp 0) into 1 7.270 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.270 * [taylor]: Taking taylor expansion of (exp im) in im 7.270 * [taylor]: Taking taylor expansion of im in im 7.270 * [backup-simplify]: Simplify 0 into 0 7.270 * [backup-simplify]: Simplify 1 into 1 7.270 * [backup-simplify]: Simplify (exp 0) into 1 7.270 * [backup-simplify]: Simplify (/ 1 1) into 1 7.271 * [backup-simplify]: Simplify (+ 1 1) into 2 7.271 * [backup-simplify]: Simplify (log 2) into (log 2) 7.271 * [taylor]: Taking taylor expansion of (log (+ (exp im) (/ 1 (exp im)))) in im 7.271 * [taylor]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in im 7.271 * [taylor]: Taking taylor expansion of (exp im) in im 7.271 * [taylor]: Taking taylor expansion of im in im 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 1 into 1 7.271 * [backup-simplify]: Simplify (exp 0) into 1 7.271 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.272 * [taylor]: Taking taylor expansion of (exp im) in im 7.272 * [taylor]: Taking taylor expansion of im in im 7.272 * [backup-simplify]: Simplify 0 into 0 7.272 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (exp 0) into 1 7.272 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [backup-simplify]: Simplify (+ 1 1) into 2 7.273 * [backup-simplify]: Simplify (log 2) into (log 2) 7.273 * [backup-simplify]: Simplify (log 2) into (log 2) 7.274 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.275 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.276 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 7.278 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.280 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 7.281 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.282 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 2 1)))) 2) into 1/2 7.282 * [backup-simplify]: Simplify 1/2 into 1/2 7.284 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 7.285 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 7.286 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 7.289 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 7.289 * [backup-simplify]: Simplify 0 into 0 7.291 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 7.293 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* -1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)) (* -1/6 (/ 1 1)))) into 1/24 7.294 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 7.300 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 1) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/12) 1)) (pow 2 1)))) 24) into -1/12 7.300 * [backup-simplify]: Simplify -1/12 into -1/12 7.301 * [backup-simplify]: Simplify (+ (* -1/12 (pow im 4)) (+ (* 1/2 (pow im 2)) (log 2))) into (- (+ (log 2) (* 1/2 (pow im 2))) (* 1/12 (pow im 4))) 7.301 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) into (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) 7.301 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in (im) around 0 7.301 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in im 7.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 7.301 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.301 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.301 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.301 * [taylor]: Taking taylor expansion of im in im 7.301 * [backup-simplify]: Simplify 0 into 0 7.301 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (/ 1 1) into 1 7.302 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.302 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.302 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.302 * [taylor]: Taking taylor expansion of im in im 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.302 * [backup-simplify]: Simplify (/ 1 1) into 1 7.302 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.302 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) into (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 7.302 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) into (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) 7.302 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) in im 7.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 7.302 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.302 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.302 * [taylor]: Taking taylor expansion of im in im 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.303 * [backup-simplify]: Simplify (/ 1 1) into 1 7.303 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.303 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.303 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.303 * [taylor]: Taking taylor expansion of im in im 7.303 * [backup-simplify]: Simplify 0 into 0 7.303 * [backup-simplify]: Simplify 1 into 1 7.303 * [backup-simplify]: Simplify (/ 1 1) into 1 7.303 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.303 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) into (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 7.303 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) into (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) 7.303 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) into (log (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im)))) 7.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 7.304 * [backup-simplify]: Simplify (+ 0 0) into 0 7.304 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 1) into 0 7.305 * [backup-simplify]: Simplify 0 into 0 7.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.305 * [backup-simplify]: Simplify (+ 0 0) into 0 7.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 2) into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.307 * [backup-simplify]: Simplify (+ 0 0) into 0 7.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 6) into 0 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.309 * [backup-simplify]: Simplify (+ 0 0) into 0 7.313 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 24) into 0 7.313 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.321 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 120) into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.330 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 1)))) 720) into 0 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im))))) into (log (+ (exp im) (/ 1 (exp im)))) 7.330 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ 1 (- im)))) (exp (/ 1 (- im))))) into (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) 7.330 * [approximate]: Taking taylor expansion of (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) in (im) around 0 7.330 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) in im 7.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) in im 7.330 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.330 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.330 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.330 * [taylor]: Taking taylor expansion of -1 in im 7.330 * [backup-simplify]: Simplify -1 into -1 7.330 * [taylor]: Taking taylor expansion of im in im 7.330 * [backup-simplify]: Simplify 0 into 0 7.330 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (/ -1 1) into -1 7.331 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.331 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.331 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.331 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.331 * [taylor]: Taking taylor expansion of -1 in im 7.331 * [backup-simplify]: Simplify -1 into -1 7.331 * [taylor]: Taking taylor expansion of im in im 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (/ -1 1) into -1 7.331 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.331 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) into (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 7.332 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) into (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) 7.332 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) in im 7.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) in im 7.332 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.332 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.332 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.332 * [taylor]: Taking taylor expansion of -1 in im 7.332 * [backup-simplify]: Simplify -1 into -1 7.332 * [taylor]: Taking taylor expansion of im in im 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ -1 1) into -1 7.332 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.332 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.332 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.332 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.332 * [taylor]: Taking taylor expansion of -1 in im 7.332 * [backup-simplify]: Simplify -1 into -1 7.332 * [taylor]: Taking taylor expansion of im in im 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ -1 1) into -1 7.333 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.333 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) into (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 7.333 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) into (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) 7.333 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) into (log (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im)))) 7.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 7.333 * [backup-simplify]: Simplify (+ 0 0) into 0 7.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 1) into 0 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.334 * [backup-simplify]: Simplify (+ 0 0) into 0 7.336 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 2) into 0 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.336 * [backup-simplify]: Simplify (+ 0 0) into 0 7.338 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 6) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.342 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 24) into 0 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 120) into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.348 * [backup-simplify]: Simplify (+ 0 0) into 0 7.361 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 1)))) 720) into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify (log (+ (/ 1 (exp (/ -1 (/ 1 (- im))))) (exp (/ -1 (/ 1 (- im)))))) into (log (+ (exp im) (/ 1 (exp im)))) 7.361 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 7.361 * [backup-simplify]: Simplify (+ (/ 1 (exp im)) (exp im)) into (+ (exp im) (/ 1 (exp im))) 7.361 * [approximate]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in (im) around 0 7.361 * [taylor]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in im 7.361 * [taylor]: Taking taylor expansion of (exp im) in im 7.361 * [taylor]: Taking taylor expansion of im in im 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (exp 0) into 1 7.362 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.362 * [taylor]: Taking taylor expansion of (exp im) in im 7.362 * [taylor]: Taking taylor expansion of im in im 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (exp 0) into 1 7.362 * [backup-simplify]: Simplify (/ 1 1) into 1 7.362 * [taylor]: Taking taylor expansion of (+ (exp im) (/ 1 (exp im))) in im 7.362 * [taylor]: Taking taylor expansion of (exp im) in im 7.362 * [taylor]: Taking taylor expansion of im in im 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (exp 0) into 1 7.362 * [taylor]: Taking taylor expansion of (/ 1 (exp im)) in im 7.362 * [taylor]: Taking taylor expansion of (exp im) in im 7.362 * [taylor]: Taking taylor expansion of im in im 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (exp 0) into 1 7.363 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [backup-simplify]: Simplify (+ 1 1) into 2 7.363 * [backup-simplify]: Simplify 2 into 2 7.364 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.365 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1 1)))) into -1 7.366 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.366 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.369 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/2 1)) (* -1 (/ 1 1)))) into 1/2 7.371 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 7.371 * [backup-simplify]: Simplify 1 into 1 7.373 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 7.376 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 3) 6)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 1/6 7.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/6 1)) (* -1 (/ 1/2 1)) (* 1/2 (/ 1 1)))) into -1/6 7.378 * [backup-simplify]: Simplify (+ 1/6 -1/6) into 0 7.378 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 7.386 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 4) 24)) (* (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 1/24 7.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1/24 1)) (* -1 (/ 1/6 1)) (* 1/2 (/ 1/2 1)) (* -1/6 (/ 1 1)))) into 1/24 7.389 * [backup-simplify]: Simplify (+ 1/24 1/24) into 1/12 7.389 * [backup-simplify]: Simplify 1/12 into 1/12 7.390 * [backup-simplify]: Simplify (+ (* 1/12 (pow im 4)) (+ (* 1 (pow im 2)) 2)) into (+ (pow im 2) (+ (* 1/12 (pow im 4)) 2)) 7.390 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) into (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 7.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in (im) around 0 7.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 7.390 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.390 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.390 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.390 * [taylor]: Taking taylor expansion of im in im 7.390 * [backup-simplify]: Simplify 0 into 0 7.390 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.391 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.391 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.391 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.391 * [taylor]: Taking taylor expansion of im in im 7.391 * [backup-simplify]: Simplify 0 into 0 7.391 * [backup-simplify]: Simplify 1 into 1 7.391 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) in im 7.392 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ 1 im))) in im 7.392 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.392 * [taylor]: Taking taylor expansion of im in im 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.392 * [backup-simplify]: Simplify (/ 1 (exp (/ 1 im))) into (/ 1 (exp (/ 1 im))) 7.392 * [taylor]: Taking taylor expansion of (exp (/ 1 im)) in im 7.392 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.392 * [taylor]: Taking taylor expansion of im in im 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify (/ 1 1) into 1 7.393 * [backup-simplify]: Simplify (exp (/ 1 im)) into (exp (/ 1 im)) 7.393 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) into (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 7.393 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) into (+ (/ 1 (exp (/ 1 im))) (exp (/ 1 im))) 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))))) into 0 7.394 * [backup-simplify]: Simplify (+ 0 0) into 0 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.395 * [backup-simplify]: Simplify (+ 0 0) into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.397 * [backup-simplify]: Simplify (+ 0 0) into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.398 * [backup-simplify]: Simplify (+ 0 0) into 0 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ 1 im))) (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))) (* 0 (/ 0 (exp (/ 1 im)))))) into 0 7.399 * [backup-simplify]: Simplify (+ 0 0) into 0 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 (/ 1 im)))) (exp (/ 1 (/ 1 im)))) into (+ (exp im) (/ 1 (exp im))) 7.399 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ 1 (- im)))) (exp (/ 1 (- im)))) into (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 7.399 * [approximate]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) in (im) around 0 7.399 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) in im 7.400 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.400 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.400 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.400 * [taylor]: Taking taylor expansion of -1 in im 7.400 * [backup-simplify]: Simplify -1 into -1 7.400 * [taylor]: Taking taylor expansion of im in im 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify 1 into 1 7.400 * [backup-simplify]: Simplify (/ -1 1) into -1 7.400 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.400 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.400 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.400 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.400 * [taylor]: Taking taylor expansion of -1 in im 7.400 * [backup-simplify]: Simplify -1 into -1 7.401 * [taylor]: Taking taylor expansion of im in im 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [backup-simplify]: Simplify (/ -1 1) into -1 7.401 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) in im 7.401 * [taylor]: Taking taylor expansion of (/ 1 (exp (/ -1 im))) in im 7.401 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.401 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.401 * [taylor]: Taking taylor expansion of -1 in im 7.401 * [backup-simplify]: Simplify -1 into -1 7.401 * [taylor]: Taking taylor expansion of im in im 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (/ -1 1) into -1 7.402 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.402 * [backup-simplify]: Simplify (/ 1 (exp (/ -1 im))) into (/ 1 (exp (/ -1 im))) 7.402 * [taylor]: Taking taylor expansion of (exp (/ -1 im)) in im 7.402 * [taylor]: Taking taylor expansion of (/ -1 im) in im 7.402 * [taylor]: Taking taylor expansion of -1 in im 7.402 * [backup-simplify]: Simplify -1 into -1 7.402 * [taylor]: Taking taylor expansion of im in im 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.403 * [backup-simplify]: Simplify (/ -1 1) into -1 7.403 * [backup-simplify]: Simplify (exp (/ -1 im)) into (exp (/ -1 im)) 7.403 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) into (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 7.403 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) into (+ (/ 1 (exp (/ -1 im))) (exp (/ -1 im))) 7.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))))) into 0 7.404 * [backup-simplify]: Simplify (+ 0 0) into 0 7.404 * [backup-simplify]: Simplify 0 into 0 7.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.405 * [backup-simplify]: Simplify (+ 0 0) into 0 7.405 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.405 * [backup-simplify]: Simplify (+ 0 0) into 0 7.405 * [backup-simplify]: Simplify 0 into 0 7.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.406 * [backup-simplify]: Simplify 0 into 0 7.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.407 * [backup-simplify]: Simplify (+ 0 0) into 0 7.407 * [backup-simplify]: Simplify 0 into 0 7.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (exp (/ -1 im))) (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))) (* 0 (/ 0 (exp (/ -1 im)))))) into 0 7.409 * [backup-simplify]: Simplify (+ 0 0) into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (+ (/ 1 (exp (/ -1 (/ 1 (- im))))) (exp (/ -1 (/ 1 (- im))))) into (+ (exp im) (/ 1 (exp im))) 7.409 * * * [progress]: simplifying candidates 7.411 * [simplify]: Simplifying: (expm1 (/ 1 (exp im))) (log1p (/ 1 (exp im))) (- 1) (- (cbrt im)) (- (sqrt im)) (- im) (- im) (- 0 im) (- (log 1) im) (log (/ 1 (exp im))) (exp (/ 1 (exp im))) (/ (* (* 1 1) 1) (* (* (exp im) (exp im)) (exp im))) (* (cbrt (/ 1 (exp im))) (cbrt (/ 1 (exp im)))) (cbrt (/ 1 (exp im))) (* (* (/ 1 (exp im)) (/ 1 (exp im))) (/ 1 (exp im))) (sqrt (/ 1 (exp im))) (sqrt (/ 1 (exp im))) (- 1) (- (exp im)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (cbrt 1) (cbrt (exp im))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (exp im))) (/ (cbrt 1) (sqrt (exp im))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (exp im)) (/ (sqrt 1) (* (cbrt (exp im)) (cbrt (exp im)))) (/ (sqrt 1) (cbrt (exp im))) (/ (sqrt 1) (sqrt (exp im))) (/ (sqrt 1) (sqrt (exp im))) (/ (sqrt 1) 1) (/ (sqrt 1) (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 1) (/ 1 (exp im)) (/ 1 (exp im)) (/ (exp im) 1) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (sqrt (exp im))) (/ 1 1) (/ (exp im) (cbrt 1)) (/ (exp im) (sqrt 1)) (/ (exp im) 1) (expm1 (log (+ (/ 1 (exp im)) (exp im)))) (log1p (log (+ (/ 1 (exp im)) (exp im)))) (log (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im))))) (log (cbrt (+ (/ 1 (exp im)) (exp im)))) (log (sqrt (+ (/ 1 (exp im)) (exp im)))) (log (sqrt (+ (/ 1 (exp im)) (exp im)))) (log 1) (log (+ (/ 1 (exp im)) (exp im))) (log 1) (log (+ (/ 1 (exp im)) (exp im))) (log 1) (log (+ (/ 1 (exp im)) (exp im))) (log (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3))) (log (+ (* (/ 1 (exp im)) (/ 1 (exp im))) (- (* (exp im) (exp im)) (* (/ 1 (exp im)) (exp im))))) (log (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (exp im)))) (log (- (/ 1 (exp im)) (exp im))) (log (+ (/ 1 (exp im)) (exp im))) (log (log (+ (/ 1 (exp im)) (exp im)))) (exp (log (+ (/ 1 (exp im)) (exp im)))) (* (cbrt (log (+ (/ 1 (exp im)) (exp im)))) (cbrt (log (+ (/ 1 (exp im)) (exp im))))) (cbrt (log (+ (/ 1 (exp im)) (exp im)))) (* (* (log (+ (/ 1 (exp im)) (exp im))) (log (+ (/ 1 (exp im)) (exp im)))) (log (+ (/ 1 (exp im)) (exp im)))) (sqrt (log (+ (/ 1 (exp im)) (exp im)))) (sqrt (log (+ (/ 1 (exp im)) (exp im)))) (expm1 (+ (/ 1 (exp im)) (exp im))) (log1p (+ (/ 1 (exp im)) (exp im))) (* (exp (/ 1 (exp im))) (exp (exp im))) (log (+ (/ 1 (exp im)) (exp im))) (exp (+ (/ 1 (exp im)) (exp im))) (* (cbrt (+ (/ 1 (exp im)) (exp im))) (cbrt (+ (/ 1 (exp im)) (exp im)))) (cbrt (+ (/ 1 (exp im)) (exp im))) (* (* (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im))) (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (sqrt (+ (/ 1 (exp im)) (exp im))) (+ (pow (/ 1 (exp im)) 3) (pow (exp im) 3)) (+ (* (/ 1 (exp im)) (/ 1 (exp im))) (- (* (exp im) (exp im)) (* (/ 1 (exp im)) (exp im)))) (- (* (/ 1 (exp im)) (/ 1 (exp im))) (* (exp im) (exp im))) (- (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (+ (/ 1 (exp im)) (exp im)) (- (+ (* 1/2 (pow im 2)) 1) im) (/ 1 (exp im)) (/ 1 (exp im)) (- (+ (log 2) (* 1/2 (pow im 2))) (* 1/12 (pow im 4))) (log (+ (exp im) (/ 1 (exp im)))) (log (+ (exp im) (/ 1 (exp im)))) (+ (pow im 2) (+ (* 1/12 (pow im 4)) 2)) (+ (exp im) (/ 1 (exp im))) (+ (exp im) (/ 1 (exp im))) 7.413 * * [simplify]: iteration 0: 107 enodes 7.468 * * [simplify]: iteration 1: 224 enodes 7.564 * * [simplify]: iteration 2: 950 enodes 8.337 * * [simplify]: iteration complete: 5001 enodes 8.337 * * [simplify]: Extracting #0: cost 50 inf + 0 8.339 * * [simplify]: Extracting #1: cost 628 inf + 3 8.343 * * [simplify]: Extracting #2: cost 1553 inf + 4655 8.375 * * [simplify]: Extracting #3: cost 833 inf + 142591 8.452 * * [simplify]: Extracting #4: cost 112 inf + 290236 8.507 * * [simplify]: Extracting #5: cost 11 inf + 320508 8.570 * * [simplify]: Extracting #6: cost 0 inf + 324203 8.654 * [simplify]: Simplified to: (expm1 (exp (- im))) (log1p (exp (- im))) -1 (- (cbrt im)) (- (sqrt im)) (- im) (- im) (- im) (- im) (- im) (exp (exp (- im))) (exp (- (fma 2 im im))) (* (cbrt (exp (- im))) (cbrt (exp (- im)))) (cbrt (exp (- im))) (exp (- (fma 2 im im))) (sqrt (exp (- im))) (sqrt (exp (- im))) -1 (- (exp im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (exp (- im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (exp (- im)) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (cbrt (exp im))) (/ 1 (sqrt (exp im))) (/ 1 (sqrt (exp im))) 1 (exp (- im)) (exp (- im)) (exp im) (/ 1 (* (cbrt (exp im)) (cbrt (exp im)))) (/ 1 (sqrt (exp im))) 1 (exp im) (exp im) (exp im) (expm1 (log (+ (exp (- im)) (exp im)))) (log1p (log (+ (exp (- im)) (exp im)))) (log (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im))))) (log (cbrt (+ (exp (- im)) (exp im)))) (log (sqrt (+ (exp (- im)) (exp im)))) (log (sqrt (+ (exp (- im)) (exp im)))) 0 (log (+ (exp (- im)) (exp im))) 0 (log (+ (exp (- im)) (exp im))) 0 (log (+ (exp (- im)) (exp im))) (log (+ (exp (fma 2 im im)) (/ 1 (exp (fma 2 im im))))) (log (fma (exp (- im)) (exp (- im)) (expm1 (+ im im)))) (log (- (exp (- (- im) im)) (exp (+ im im)))) (log (- (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (log (log (+ (exp (- im)) (exp im)))) (+ (exp (- im)) (exp im)) (* (cbrt (log (+ (exp (- im)) (exp im)))) (cbrt (log (+ (exp (- im)) (exp im))))) (cbrt (log (+ (exp (- im)) (exp im)))) (* (* (log (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im)))) (log (+ (exp (- im)) (exp im)))) (sqrt (log (+ (exp (- im)) (exp im)))) (sqrt (log (+ (exp (- im)) (exp im)))) (expm1 (+ (exp (- im)) (exp im))) (log1p (+ (exp (- im)) (exp im))) (exp (+ (exp im) (exp (- im)))) (log (+ (exp (- im)) (exp im))) (exp (+ (exp im) (exp (- im)))) (* (cbrt (+ (exp (- im)) (exp im))) (cbrt (+ (exp (- im)) (exp im)))) (cbrt (+ (exp (- im)) (exp im))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (sqrt (+ (exp (- im)) (exp im))) (+ (exp (fma 2 im im)) (/ 1 (exp (fma 2 im im)))) (fma (exp (- im)) (exp (- im)) (expm1 (+ im im))) (- (exp (- (- im) im)) (exp (+ im im))) (- (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) (fma im (* im 1/2) (- 1 im)) (exp (- im)) (exp (- im)) (fma -1/12 (* (* im im) (* im im)) (fma 1/2 (* im im) (log 2))) (log (+ (exp (- im)) (exp im))) (log (+ (exp (- im)) (exp im))) (fma 1/12 (* (* im im) (* im im)) (+ 2 (* im im))) (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im)) 8.665 * * * [progress]: adding candidates to table 9.176 * [progress]: [Phase 3 of 3] Extracting. 9.176 * * [regime]: Finding splitpoints for: (# #) 9.177 * * * [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) 9.177 * * * * [regimes]: Trying to branch on (+ (exp (- im)) (exp im)) from (# #) 9.218 * * * * [regimes]: Trying to branch on (cos re) from (# #) 9.248 * * * * [regimes]: Trying to branch on (* 0.5 (cos re)) from (# #) 9.279 * * * * [regimes]: Trying to branch on (* (* 0.5 (cos re)) (+ (exp (- im)) (exp im))) from (# #) 9.320 * * * * [regimes]: Trying to branch on im from (# #) 9.371 * * * * [regimes]: Trying to branch on re from (# #) 9.436 * * * [regime]: Found split indices: #