53.981 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.065 * * [simplify]: Extracting # 0 : cost 1 inf + 0 0.065 * * [simplify]: Extracting # 1 : cost 3 inf + 0 0.065 * * [simplify]: Extracting # 2 : cost 3 inf + 1 0.065 * * [simplify]: Extracting # 3 : cost 5 inf + 1 0.065 * * [simplify]: Extracting # 4 : cost 6 inf + 2 0.065 * * [simplify]: Extracting # 5 : cost 6 inf + 3 0.065 * * [simplify]: Extracting # 6 : cost 8 inf + 3 0.065 * * [simplify]: Extracting # 7 : cost 8 inf + 44 0.066 * * [simplify]: Extracting # 8 : cost 0 inf + 1422 0.066 * * [simplify]: iteration 0 : 12 enodes (cost 324 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 inf + 1422 0.071 * * [simplify]: Extracting # 1 : cost 4 inf + 1422 0.071 * * [simplify]: Extracting # 2 : cost 0 inf + 1912 0.072 * * [simplify]: iteration 1 : 22 enodes (cost 324 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 inf + 1912 0.079 * * [simplify]: iteration 2 : 24 enodes (cost 324 ) 0.084 * * [simplify]: Extracting # 0 : cost 0 inf + 1912 0.085 * * [simplify]: iteration complete: 24 enodes (cost 324 ) 0.085 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.086 * * [progress]: iteration 1 / 4 0.086 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.135 * * * [progress]: generating rewritten candidates 0.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.202 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.230 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.244 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.244 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.245 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [backup-simplify]: Simplify re into re 0.245 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.245 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.245 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.245 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.247 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.247 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.247 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.247 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.248 * [taylor]: Taking taylor expansion of im in re 0.248 * [backup-simplify]: Simplify im into im 0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.248 * [taylor]: Taking taylor expansion of re in re 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.248 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.248 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [taylor]: Taking taylor expansion of 0 in im 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.251 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.251 * [taylor]: Taking taylor expansion of 1/2 in im 0.251 * [backup-simplify]: Simplify 1/2 into 1/2 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.256 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.256 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.256 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.256 * [taylor]: Taking taylor expansion of re in im 0.256 * [backup-simplify]: Simplify re into re 0.256 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.257 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (+ 0 1) into 1 0.258 * [backup-simplify]: Simplify (sqrt 1) into 1 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.271 * [taylor]: Taking taylor expansion of 1 in im 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of 0 in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.277 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.278 * [taylor]: Taking taylor expansion of 1/2 in im 0.278 * [backup-simplify]: Simplify 1/2 into 1/2 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.286 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.286 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.286 * [backup-simplify]: Simplify re into re 0.286 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [backup-simplify]: Simplify im into im 0.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.296 * [taylor]: Taking taylor expansion of im in re 0.296 * [backup-simplify]: Simplify im into im 0.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.296 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.297 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [taylor]: Taking taylor expansion of 1 in im 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [taylor]: Taking taylor expansion of 0 in im 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.304 * [taylor]: Taking taylor expansion of 1/2 in im 0.304 * [backup-simplify]: Simplify 1/2 into 1/2 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.304 * [taylor]: Taking taylor expansion of im in im 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.312 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.312 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.312 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.312 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.312 * [taylor]: Taking taylor expansion of re in im 0.312 * [backup-simplify]: Simplify re into re 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.312 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.312 * [taylor]: Taking taylor expansion of re in im 0.312 * [backup-simplify]: Simplify re into re 0.312 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.313 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.313 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.313 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.313 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.313 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.314 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.314 * [taylor]: Taking taylor expansion of im in re 0.314 * [backup-simplify]: Simplify im into im 0.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.314 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.315 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.315 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.315 * [taylor]: Taking taylor expansion of im in re 0.315 * [backup-simplify]: Simplify im into im 0.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.315 * [taylor]: Taking taylor expansion of re in re 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.316 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.316 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 im) into im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [taylor]: Taking taylor expansion of 1 in im 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (+ 0 1) into 1 0.319 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.319 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.320 * [taylor]: Taking taylor expansion of 1/2 in im 0.320 * [backup-simplify]: Simplify 1/2 into 1/2 0.320 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.328 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.328 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.328 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [backup-simplify]: Simplify re into re 0.328 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.328 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.328 * [taylor]: Taking taylor expansion of re in im 0.328 * [backup-simplify]: Simplify re into re 0.328 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.328 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (+ 0 1) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.332 * [taylor]: Taking taylor expansion of re in re 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.333 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.333 * [taylor]: Taking taylor expansion of re in re 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [backup-simplify]: Simplify im into im 0.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.334 * [backup-simplify]: Simplify (+ 1 0) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.337 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.337 * [taylor]: Taking taylor expansion of re in re 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [backup-simplify]: Simplify im into im 0.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.342 * [backup-simplify]: Simplify (+ 1 1) into 2 0.342 * [taylor]: Taking taylor expansion of 2 in im 0.343 * [backup-simplify]: Simplify 2 into 2 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 2 into 2 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.348 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.348 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.348 * [taylor]: Taking taylor expansion of 1/2 in im 0.348 * [backup-simplify]: Simplify 1/2 into 1/2 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.348 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.348 * [taylor]: Taking taylor expansion of im in im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.360 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.360 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.360 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.360 * [taylor]: Taking taylor expansion of re in im 0.360 * [backup-simplify]: Simplify re into re 0.360 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (+ 0 1) into 1 0.362 * [backup-simplify]: Simplify (sqrt 1) into 1 0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [backup-simplify]: Simplify re into re 0.365 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.365 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.365 * [taylor]: Taking taylor expansion of re in re 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (/ 1 1) into 1 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.366 * [taylor]: Taking taylor expansion of im in re 0.366 * [backup-simplify]: Simplify im into im 0.366 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.366 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.367 * [backup-simplify]: Simplify (+ 1 0) into 1 0.367 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.371 * [taylor]: Taking taylor expansion of im in re 0.371 * [backup-simplify]: Simplify im into im 0.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.372 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (sqrt 1) into 1 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.383 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.383 * [taylor]: Taking taylor expansion of 1/2 in im 0.383 * [backup-simplify]: Simplify 1/2 into 1/2 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.383 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.389 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in im 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.396 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.396 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.396 * [taylor]: Taking taylor expansion of 2.0 in im 0.396 * [backup-simplify]: Simplify 2.0 into 2.0 0.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.396 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.396 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.396 * [taylor]: Taking taylor expansion of re in im 0.397 * [backup-simplify]: Simplify re into re 0.397 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.397 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.397 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.397 * [taylor]: Taking taylor expansion of im in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.397 * [taylor]: Taking taylor expansion of re in im 0.397 * [backup-simplify]: Simplify re into re 0.397 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.397 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.397 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.397 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.397 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.397 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.398 * [taylor]: Taking taylor expansion of 2.0 in re 0.398 * [backup-simplify]: Simplify 2.0 into 2.0 0.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.398 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.399 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.399 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.399 * [taylor]: Taking taylor expansion of im in re 0.399 * [backup-simplify]: Simplify im into im 0.399 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.399 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.399 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 im) into im 0.399 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.400 * [backup-simplify]: Simplify (+ 1 0) into 1 0.400 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.400 * [taylor]: Taking taylor expansion of 2.0 in re 0.400 * [backup-simplify]: Simplify 2.0 into 2.0 0.400 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.400 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.401 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.401 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.401 * [taylor]: Taking taylor expansion of im in re 0.401 * [backup-simplify]: Simplify im into im 0.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.401 * [taylor]: Taking taylor expansion of re in re 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.401 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.401 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.401 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.401 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 im) into im 0.401 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.402 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.402 * [taylor]: Taking taylor expansion of 2.0 in im 0.402 * [backup-simplify]: Simplify 2.0 into 2.0 0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (sqrt 0) into 0 0.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.405 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.405 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.405 * [taylor]: Taking taylor expansion of 1/2 in im 0.405 * [backup-simplify]: Simplify 1/2 into 1/2 0.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.405 * [taylor]: Taking taylor expansion of 2.0 in im 0.406 * [backup-simplify]: Simplify 2.0 into 2.0 0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.406 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.406 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify (sqrt 0) into 0 0.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.409 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.415 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.418 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.418 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.419 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.419 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.419 * [taylor]: Taking taylor expansion of 1/8 in im 0.419 * [backup-simplify]: Simplify 1/8 into 1/8 0.419 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.419 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.419 * [taylor]: Taking taylor expansion of 2.0 in im 0.419 * [backup-simplify]: Simplify 2.0 into 2.0 0.420 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.420 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.420 * [taylor]: Taking taylor expansion of im in im 0.420 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (* 1 1) into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.421 * [backup-simplify]: Simplify (sqrt 0) into 0 0.422 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.427 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.428 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.429 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.432 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.435 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.436 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.436 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.436 * [taylor]: Taking taylor expansion of 2.0 in im 0.436 * [backup-simplify]: Simplify 2.0 into 2.0 0.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.436 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.436 * [taylor]: Taking taylor expansion of re in im 0.436 * [backup-simplify]: Simplify re into re 0.436 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.437 * [taylor]: Taking taylor expansion of re in im 0.437 * [backup-simplify]: Simplify re into re 0.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.437 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.437 * [taylor]: Taking taylor expansion of im in im 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (* 1 1) into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (+ 0 1) into 1 0.438 * [backup-simplify]: Simplify (sqrt 1) into 1 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 1) into 1 0.440 * [backup-simplify]: Simplify (sqrt 0) into 0 0.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.440 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.441 * [taylor]: Taking taylor expansion of 2.0 in re 0.441 * [backup-simplify]: Simplify 2.0 into 2.0 0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.441 * [taylor]: Taking taylor expansion of re in re 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.442 * [backup-simplify]: Simplify (/ 1 1) into 1 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.442 * [taylor]: Taking taylor expansion of im in re 0.442 * [backup-simplify]: Simplify im into im 0.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ 0 0) into 0 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [backup-simplify]: Simplify (+ 1 1) into 2 0.445 * [backup-simplify]: Simplify (sqrt 0) into 0 0.446 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.446 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.446 * [taylor]: Taking taylor expansion of 2.0 in re 0.446 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.446 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.446 * [taylor]: Taking taylor expansion of re in re 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.447 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.447 * [taylor]: Taking taylor expansion of re in re 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.447 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.447 * [taylor]: Taking taylor expansion of im in re 0.447 * [backup-simplify]: Simplify im into im 0.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.448 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (sqrt 1) into 1 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.450 * [backup-simplify]: Simplify (+ 1 1) into 2 0.450 * [backup-simplify]: Simplify (sqrt 0) into 0 0.451 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.451 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.451 * [taylor]: Taking taylor expansion of 0 in im 0.451 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.453 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.453 * [taylor]: Taking taylor expansion of +nan.0 in im 0.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.453 * [taylor]: Taking taylor expansion of 2.0 in im 0.453 * [backup-simplify]: Simplify 2.0 into 2.0 0.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.463 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.463 * [taylor]: Taking taylor expansion of 2.0 in im 0.463 * [backup-simplify]: Simplify 2.0 into 2.0 0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.465 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.466 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.468 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.468 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.472 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.472 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.474 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.477 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.478 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.478 * [taylor]: Taking taylor expansion of +nan.0 in im 0.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.478 * [taylor]: Taking taylor expansion of 2.0 in im 0.478 * [backup-simplify]: Simplify 2.0 into 2.0 0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.479 * [taylor]: Taking taylor expansion of +nan.0 in im 0.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.479 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.479 * [taylor]: Taking taylor expansion of 2.0 in im 0.479 * [backup-simplify]: Simplify 2.0 into 2.0 0.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.480 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.486 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.487 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.493 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.493 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.493 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.493 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.493 * [taylor]: Taking taylor expansion of +nan.0 in im 0.493 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.493 * [taylor]: Taking taylor expansion of 2.0 in im 0.493 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.503 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.504 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.507 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.507 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.507 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.507 * [taylor]: Taking taylor expansion of 2.0 in im 0.507 * [backup-simplify]: Simplify 2.0 into 2.0 0.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.508 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.508 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.508 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.508 * [taylor]: Taking taylor expansion of re in im 0.508 * [backup-simplify]: Simplify re into re 0.508 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.508 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.508 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [backup-simplify]: Simplify (+ 0 1) into 1 0.509 * [backup-simplify]: Simplify (sqrt 1) into 1 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.511 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.511 * [taylor]: Taking taylor expansion of re in im 0.511 * [backup-simplify]: Simplify re into re 0.511 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.511 * [backup-simplify]: Simplify (+ 1 0) into 1 0.511 * [backup-simplify]: Simplify (sqrt 0) into 0 0.513 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.513 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.513 * [taylor]: Taking taylor expansion of 2.0 in re 0.513 * [backup-simplify]: Simplify 2.0 into 2.0 0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.514 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.514 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.517 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.517 * [taylor]: Taking taylor expansion of im in re 0.517 * [backup-simplify]: Simplify im into im 0.517 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [backup-simplify]: Simplify (sqrt 1) into 1 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (- 1) into -1 0.522 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.523 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.528 * [backup-simplify]: Simplify (sqrt 0) into 0 0.529 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.529 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.529 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.529 * [taylor]: Taking taylor expansion of 2.0 in re 0.529 * [backup-simplify]: Simplify 2.0 into 2.0 0.529 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.530 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.530 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.530 * [taylor]: Taking taylor expansion of re in re 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.531 * [taylor]: Taking taylor expansion of im in re 0.531 * [backup-simplify]: Simplify im into im 0.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.531 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.532 * [backup-simplify]: Simplify (+ 1 0) into 1 0.532 * [backup-simplify]: Simplify (sqrt 1) into 1 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.534 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.534 * [taylor]: Taking taylor expansion of re in re 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [backup-simplify]: Simplify (- 1) into -1 0.536 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (- 0) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.541 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.542 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.542 * [backup-simplify]: Simplify (sqrt 0) into 0 0.543 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.544 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.544 * [taylor]: Taking taylor expansion of 0 in im 0.544 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.545 * [taylor]: Taking taylor expansion of +nan.0 in im 0.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.545 * [taylor]: Taking taylor expansion of 2.0 in im 0.545 * [backup-simplify]: Simplify 2.0 into 2.0 0.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.546 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.546 * [taylor]: Taking taylor expansion of im in im 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (- 0) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.554 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.554 * [taylor]: Taking taylor expansion of +nan.0 in im 0.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.554 * [taylor]: Taking taylor expansion of 2.0 in im 0.554 * [backup-simplify]: Simplify 2.0 into 2.0 0.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.555 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.556 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.563 * [backup-simplify]: Simplify (- 0) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.565 * [backup-simplify]: Simplify (- 0) into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.570 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.570 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.571 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.571 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.571 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.571 * [taylor]: Taking taylor expansion of +nan.0 in im 0.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.571 * [taylor]: Taking taylor expansion of 2.0 in im 0.571 * [backup-simplify]: Simplify 2.0 into 2.0 0.572 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.572 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.572 * [taylor]: Taking taylor expansion of im in im 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.573 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.573 * [taylor]: Taking taylor expansion of +nan.0 in im 0.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.573 * [taylor]: Taking taylor expansion of 2.0 in im 0.574 * [backup-simplify]: Simplify 2.0 into 2.0 0.574 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.574 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.590 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.591 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.616 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.617 * [backup-simplify]: Simplify (- 0) into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.618 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.618 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.618 * [taylor]: Taking taylor expansion of im in im 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.618 * [taylor]: Taking taylor expansion of re in im 0.618 * [backup-simplify]: Simplify re into re 0.618 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [backup-simplify]: Simplify im into im 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [backup-simplify]: Simplify im into im 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.619 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.620 * [taylor]: Taking taylor expansion of 0 in im 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.621 * [backup-simplify]: Simplify (+ 0 1) into 1 0.621 * [taylor]: Taking taylor expansion of 1 in im 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [taylor]: Taking taylor expansion of 0 in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [taylor]: Taking taylor expansion of 0 in im 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.628 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.628 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.628 * [taylor]: Taking taylor expansion of re in im 0.628 * [backup-simplify]: Simplify re into re 0.628 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.628 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.628 * [taylor]: Taking taylor expansion of im in im 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.629 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.630 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.630 * [taylor]: Taking taylor expansion of im in re 0.630 * [backup-simplify]: Simplify im into im 0.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.631 * [taylor]: Taking taylor expansion of re in re 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [backup-simplify]: Simplify (* 1 1) into 1 0.631 * [backup-simplify]: Simplify (/ 1 1) into 1 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.632 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.632 * [taylor]: Taking taylor expansion of im in re 0.632 * [backup-simplify]: Simplify im into im 0.632 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.632 * [backup-simplify]: Simplify (+ 1 0) into 1 0.632 * [taylor]: Taking taylor expansion of 1 in im 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (+ 0 0) into 0 0.634 * [taylor]: Taking taylor expansion of 0 in im 0.634 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.636 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1 1) into 1 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify 1 into 1 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [taylor]: Taking taylor expansion of 0 in im 0.642 * [backup-simplify]: Simplify 0 into 0 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.647 * [taylor]: Taking taylor expansion of 0 in im 0.647 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.649 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.649 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.649 * [taylor]: Taking taylor expansion of re in im 0.649 * [backup-simplify]: Simplify re into re 0.649 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.649 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.649 * [taylor]: Taking taylor expansion of im in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.650 * [taylor]: Taking taylor expansion of re in re 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.650 * [taylor]: Taking taylor expansion of im in re 0.650 * [backup-simplify]: Simplify im into im 0.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.651 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.651 * [taylor]: Taking taylor expansion of re in re 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.651 * [taylor]: Taking taylor expansion of im in re 0.651 * [backup-simplify]: Simplify im into im 0.651 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.651 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.652 * [backup-simplify]: Simplify (+ 1 0) into 1 0.652 * [taylor]: Taking taylor expansion of 1 in im 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (+ 0 0) into 0 0.653 * [taylor]: Taking taylor expansion of 0 in im 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.654 * [taylor]: Taking taylor expansion of im in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (* 1 1) into 1 0.655 * [backup-simplify]: Simplify (/ 1 1) into 1 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.661 * * * [progress]: simplifying candidates 0.662 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.663 * * [simplify]: Extracting # 0 : cost 57 inf + 0 0.663 * * [simplify]: Extracting # 1 : cost 83 inf + 3 0.663 * * [simplify]: Extracting # 2 : cost 76 inf + 893 0.663 * * [simplify]: Extracting # 3 : cost 58 inf + 5175 0.664 * * [simplify]: Extracting # 4 : cost 33 inf + 13601 0.666 * * [simplify]: Extracting # 5 : cost 22 inf + 17909 0.667 * * [simplify]: Extracting # 6 : cost 16 inf + 20199 0.669 * * [simplify]: Extracting # 7 : cost 11 inf + 20943 0.671 * * [simplify]: Extracting # 8 : cost 7 inf + 22098 0.672 * * [simplify]: Extracting # 9 : cost 4 inf + 23450 0.674 * * [simplify]: Extracting # 10 : cost 1 inf + 25373 0.678 * * [simplify]: Extracting # 11 : cost 0 inf + 26068 0.682 * * [simplify]: iteration 0 : 108 enodes (cost 18075 ) 0.711 * * [simplify]: Extracting # 0 : cost 0 inf + 26068 0.714 * * [simplify]: Extracting # 1 : cost 63 inf + 23225 0.718 * * [simplify]: Extracting # 2 : cost 7 inf + 31375 0.722 * * [simplify]: Extracting # 3 : cost 4 inf + 30796 0.729 * * [simplify]: Extracting # 4 : cost 0 inf + 31684