0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.078 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.078 * * [simplify]: iters left: 6 (12 enodes) 0.081 * * [simplify]: iters left: 5 (46 enodes) 0.090 * * [simplify]: iters left: 4 (56 enodes) 0.119 * * [simplify]: Extracting #0: cost 1 inf + 0 0.119 * * [simplify]: Extracting #1: cost 4 inf + 0 0.119 * * [simplify]: Extracting #2: cost 5 inf + 1 0.119 * * [simplify]: Extracting #3: cost 10 inf + 1 0.119 * * [simplify]: Extracting #4: cost 14 inf + 2 0.120 * * [simplify]: Extracting #5: cost 13 inf + 87 0.120 * * [simplify]: Extracting #6: cost 16 inf + 87 0.120 * * [simplify]: Extracting #7: cost 18 inf + 128 0.120 * * [simplify]: Extracting #8: cost 15 inf + 211 0.120 * * [simplify]: Extracting #9: cost 6 inf + 1670 0.121 * * [simplify]: Extracting #10: cost 1 inf + 3047 0.121 * * [simplify]: Extracting #11: cost 0 inf + 3330 0.122 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.122 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.129 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.156 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.193 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.224 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.224 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.224 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.224 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.224 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.224 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.224 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [backup-simplify]: Simplify im into im 0.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.225 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.225 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [backup-simplify]: Simplify im into im 0.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.225 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 0 in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (+ 0 1) into 1 0.228 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.228 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.228 * [taylor]: Taking taylor expansion of 1/2 in im 0.228 * [backup-simplify]: Simplify 1/2 into 1/2 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.233 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.233 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [backup-simplify]: Simplify re into re 0.233 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ 0 1) into 1 0.235 * [backup-simplify]: Simplify (sqrt 1) into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.239 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.243 * [taylor]: Taking taylor expansion of im in re 0.243 * [backup-simplify]: Simplify im into im 0.243 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [taylor]: Taking taylor expansion of 1 in im 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of 0 in im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.249 * [taylor]: Taking taylor expansion of 1/2 in im 0.249 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 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 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.257 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [backup-simplify]: Simplify re into re 0.258 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.258 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [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 0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.263 * [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 0.264 * [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 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [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) 0.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of 1 in im 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [taylor]: Taking taylor expansion of 0 in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.271 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of 1/2 in im 0.271 * [backup-simplify]: Simplify 1/2 into 1/2 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.275 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.276 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.276 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.276 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.276 * [backup-simplify]: Simplify re into re 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.276 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.276 * [taylor]: Taking taylor expansion of re in im 0.276 * [backup-simplify]: Simplify re into re 0.276 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.276 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.276 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.276 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.276 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.277 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.277 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.278 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 im) into 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 0 into 0 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [taylor]: Taking taylor expansion of 1 in im 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.280 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.280 * [taylor]: Taking taylor expansion of 1/2 in im 0.280 * [backup-simplify]: Simplify 1/2 into 1/2 0.280 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in im 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.284 * [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))))) 0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.284 * [backup-simplify]: Simplify re into re 0.284 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.284 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.284 * [taylor]: Taking taylor expansion of re in im 0.284 * [backup-simplify]: Simplify re into re 0.284 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.284 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.285 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.285 * [taylor]: Taking taylor expansion of im in im 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.291 * [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 * [backup-simplify]: Simplify (+ 1 1) into 2 0.295 * [taylor]: Taking taylor expansion of 2 in im 0.295 * [backup-simplify]: Simplify 2 into 2 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 2 into 2 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.303 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.304 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow im 2)) in im 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 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in im 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.315 * [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)) 0.315 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.315 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.315 * [taylor]: Taking taylor expansion of re in im 0.315 * [backup-simplify]: Simplify re into re 0.315 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.315 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (sqrt 1) into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.320 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.320 * [backup-simplify]: Simplify re into re 0.320 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.320 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.320 * [taylor]: Taking taylor expansion of re in re 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.321 * [taylor]: Taking taylor expansion of im in re 0.321 * [backup-simplify]: Simplify im into im 0.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (sqrt 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.325 * [taylor]: Taking taylor expansion of re in re 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.326 * [taylor]: Taking taylor expansion of im in re 0.326 * [backup-simplify]: Simplify im into im 0.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.327 * [backup-simplify]: Simplify (sqrt 1) into 1 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (- 1) into -1 0.331 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in im 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.337 * [taylor]: Taking taylor expansion of 1/2 in im 0.337 * [backup-simplify]: Simplify 1/2 into 1/2 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [taylor]: Taking taylor expansion of 0 in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.348 * [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)))))) 0.348 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.348 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.348 * [taylor]: Taking taylor expansion of 2.0 in im 0.348 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.350 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.350 * [taylor]: Taking taylor expansion of re in im 0.350 * [backup-simplify]: Simplify re into re 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.350 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.350 * [taylor]: Taking taylor expansion of im in im 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.350 * [taylor]: Taking taylor expansion of re in im 0.350 * [backup-simplify]: Simplify re into re 0.350 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.350 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.350 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.350 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.351 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.351 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.351 * [backup-simplify]: Simplify 2.0 into 2.0 0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.353 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.353 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.353 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.353 * [taylor]: Taking taylor expansion of im in re 0.353 * [backup-simplify]: Simplify im into im 0.353 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.353 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.353 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.353 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 im) into im 0.354 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.354 * [taylor]: Taking taylor expansion of 2.0 in re 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.355 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.356 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.356 * [taylor]: Taking taylor expansion of im in re 0.356 * [backup-simplify]: Simplify im into im 0.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.356 * [taylor]: Taking taylor expansion of re in re 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.356 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.357 * [backup-simplify]: Simplify (+ 0 im) into im 0.357 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.357 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.358 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.358 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.358 * [backup-simplify]: Simplify 2.0 into 2.0 0.358 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.359 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.359 * [taylor]: Taking taylor expansion of im in im 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (sqrt 0) into 0 0.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.362 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.362 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.362 * [taylor]: Taking taylor expansion of 1/2 in im 0.362 * [backup-simplify]: Simplify 1/2 into 1/2 0.362 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.362 * [taylor]: Taking taylor expansion of 2.0 in im 0.362 * [backup-simplify]: Simplify 2.0 into 2.0 0.363 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.363 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.363 * [taylor]: Taking taylor expansion of im in im 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [backup-simplify]: Simplify (sqrt 0) into 0 0.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.365 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.366 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.369 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.370 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.371 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.372 * [backup-simplify]: Simplify (* 1 1) into 1 0.372 * [backup-simplify]: Simplify (+ 0 1) into 1 0.372 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.372 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.373 * [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)))) 0.373 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.374 * [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))))) 0.374 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.374 * [taylor]: Taking taylor expansion of 1/8 in im 0.374 * [backup-simplify]: Simplify 1/8 into 1/8 0.374 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.374 * [taylor]: Taking taylor expansion of 2.0 in im 0.374 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.375 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.375 * [taylor]: Taking taylor expansion of im in im 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 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.383 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.383 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.386 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.387 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.390 * [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))))))) 0.390 * [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))))))) 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.390 * [taylor]: Taking taylor expansion of 2.0 in im 0.390 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.392 * [taylor]: Taking taylor expansion of re in im 0.392 * [backup-simplify]: Simplify re into re 0.392 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.392 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.392 * [taylor]: Taking taylor expansion of re in im 0.392 * [backup-simplify]: Simplify re into re 0.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.392 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.392 * [taylor]: Taking taylor expansion of im in im 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.393 * [backup-simplify]: Simplify (+ 0 1) into 1 0.394 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [backup-simplify]: Simplify (sqrt 0) into 0 0.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.399 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.399 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.399 * [taylor]: Taking taylor expansion of 2.0 in re 0.399 * [backup-simplify]: Simplify 2.0 into 2.0 0.399 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.400 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.400 * [taylor]: Taking taylor expansion of re in re 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (/ 1 1) into 1 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 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 (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.402 * [taylor]: Taking taylor expansion of im in re 0.402 * [backup-simplify]: Simplify im into im 0.402 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.402 * [backup-simplify]: Simplify (+ 1 0) into 1 0.403 * [backup-simplify]: Simplify (sqrt 1) into 1 0.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.406 * [backup-simplify]: Simplify (+ 1 1) into 2 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.408 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.408 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.408 * [taylor]: Taking taylor expansion of 2.0 in re 0.408 * [backup-simplify]: Simplify 2.0 into 2.0 0.408 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.409 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.409 * [taylor]: Taking taylor expansion of re in re 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (/ 1 1) into 1 0.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.410 * [taylor]: Taking taylor expansion of re in re 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.410 * [taylor]: Taking taylor expansion of im in re 0.410 * [backup-simplify]: Simplify im into im 0.411 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.411 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (sqrt 1) into 1 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.414 * [backup-simplify]: Simplify (+ 1 1) into 2 0.415 * [backup-simplify]: Simplify (sqrt 0) into 0 0.416 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.417 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.417 * [taylor]: Taking taylor expansion of 0 in im 0.417 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.419 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.419 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.419 * [taylor]: Taking taylor expansion of +nan.0 in im 0.419 * [backup-simplify]: Simplify +nan.0 into +nan.0 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 0.419 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.426 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.426 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.426 * [taylor]: Taking taylor expansion of +nan.0 in im 0.426 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.426 * [taylor]: Taking taylor expansion of 2.0 in im 0.426 * [backup-simplify]: Simplify 2.0 into 2.0 0.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.427 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.428 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.429 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.432 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.433 * [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)) 0.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.435 * [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)))))) 0.435 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.435 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.435 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.435 * [taylor]: Taking taylor expansion of +nan.0 in im 0.435 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.435 * [taylor]: Taking taylor expansion of 2.0 in im 0.435 * [backup-simplify]: Simplify 2.0 into 2.0 0.435 * [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 (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.436 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.436 * [taylor]: Taking taylor expansion of +nan.0 in im 0.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.436 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (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 (pow im 2) in im 0.436 * [taylor]: Taking taylor expansion of im in im 0.436 * [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 (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (- 0) into 0 0.439 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.441 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [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))) 0.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.448 * [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)))))) 0.448 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.448 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.448 * [taylor]: Taking taylor expansion of +nan.0 in im 0.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.448 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.448 * [taylor]: Taking taylor expansion of 2.0 in im 0.448 * [backup-simplify]: Simplify 2.0 into 2.0 0.448 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.449 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.449 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.449 * [taylor]: Taking taylor expansion of +nan.0 in im 0.449 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.449 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.449 * [taylor]: Taking taylor expansion of 2.0 in im 0.449 * [backup-simplify]: Simplify 2.0 into 2.0 0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.450 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.452 * [backup-simplify]: Simplify (- 0) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.461 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.463 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.468 * [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)))))))) 0.468 * [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)))) 0.468 * [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 0.468 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.468 * [taylor]: Taking taylor expansion of 2.0 in im 0.468 * [backup-simplify]: Simplify 2.0 into 2.0 0.469 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.470 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.470 * [taylor]: Taking taylor expansion of re in im 0.470 * [backup-simplify]: Simplify re into re 0.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.470 * [taylor]: Taking taylor expansion of im in im 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (* 1 1) into 1 0.471 * [backup-simplify]: Simplify (/ 1 1) into 1 0.471 * [backup-simplify]: Simplify (+ 0 1) into 1 0.472 * [backup-simplify]: Simplify (sqrt 1) into 1 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.474 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.474 * [taylor]: Taking taylor expansion of re in im 0.474 * [backup-simplify]: Simplify re into re 0.474 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.475 * [backup-simplify]: Simplify (+ 1 0) into 1 0.475 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.477 * [taylor]: Taking taylor expansion of 2.0 in re 0.477 * [backup-simplify]: Simplify 2.0 into 2.0 0.477 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.478 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.478 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.478 * [taylor]: Taking taylor expansion of re in re 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [backup-simplify]: Simplify im into im 0.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.481 * [backup-simplify]: Simplify (sqrt 1) into 1 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.484 * [backup-simplify]: Simplify (- 1) into -1 0.484 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.489 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (- 0) into 0 0.490 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.491 * [backup-simplify]: Simplify (sqrt 0) into 0 0.491 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.491 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.492 * [taylor]: Taking taylor expansion of 2.0 in re 0.492 * [backup-simplify]: Simplify 2.0 into 2.0 0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.493 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.493 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.493 * [taylor]: Taking taylor expansion of re in re 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.494 * [taylor]: Taking taylor expansion of im in re 0.494 * [backup-simplify]: Simplify im into im 0.494 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.498 * [backup-simplify]: Simplify (- 1) into -1 0.498 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.503 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.505 * [backup-simplify]: Simplify (sqrt 0) into 0 0.505 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.506 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.507 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.507 * [taylor]: Taking taylor expansion of +nan.0 in im 0.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.507 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 (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 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.520 * [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)))) 0.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.520 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.520 * [taylor]: Taking taylor expansion of +nan.0 in im 0.520 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.520 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.520 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.520 * [taylor]: Taking taylor expansion of 2.0 in im 0.520 * [backup-simplify]: Simplify 2.0 into 2.0 0.521 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.521 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.532 * [backup-simplify]: Simplify (- 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.909 * [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))))) 0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.912 * [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)))))) 0.912 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.912 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.912 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.912 * [taylor]: Taking taylor expansion of +nan.0 in im 0.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.912 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.912 * [taylor]: Taking taylor expansion of 2.0 in im 0.912 * [backup-simplify]: Simplify 2.0 into 2.0 0.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.913 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.915 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.915 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.915 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.915 * [taylor]: Taking taylor expansion of +nan.0 in im 0.915 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.915 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.915 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.915 * [taylor]: Taking taylor expansion of 2.0 in im 0.915 * [backup-simplify]: Simplify 2.0 into 2.0 0.915 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.916 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (* 1 1) into 1 0.918 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.919 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.957 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.958 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.958 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.958 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.959 * [taylor]: Taking taylor expansion of re in im 0.959 * [backup-simplify]: Simplify re into re 0.959 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.959 * [backup-simplify]: Simplify im into im 0.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.959 * [taylor]: Taking taylor expansion of im in re 0.959 * [backup-simplify]: Simplify im into im 0.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.959 * [taylor]: Taking taylor expansion of re in re 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.959 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [taylor]: Taking taylor expansion of 0 in im 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (+ 0 1) into 1 0.962 * [taylor]: Taking taylor expansion of 1 in im 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.964 * [taylor]: Taking taylor expansion of 0 in im 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.965 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [taylor]: Taking taylor expansion of 0 in im 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.967 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.967 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.967 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.967 * [taylor]: Taking taylor expansion of re in im 0.967 * [backup-simplify]: Simplify re into re 0.967 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.967 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.967 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.967 * [taylor]: Taking taylor expansion of im in im 0.967 * [backup-simplify]: Simplify 0 into 0 0.967 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [backup-simplify]: Simplify im into im 0.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.969 * [taylor]: Taking taylor expansion of re in re 0.969 * [backup-simplify]: Simplify 0 into 0 0.969 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (* 1 1) into 1 0.969 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.969 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.969 * [taylor]: Taking taylor expansion of im in re 0.969 * [backup-simplify]: Simplify im into im 0.969 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.969 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.970 * [backup-simplify]: Simplify (+ 1 0) into 1 0.970 * [taylor]: Taking taylor expansion of 1 in im 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (+ 0 0) into 0 0.971 * [taylor]: Taking taylor expansion of 0 in im 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.972 * [taylor]: Taking taylor expansion of im in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [taylor]: Taking taylor expansion of 0 in im 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.977 * [taylor]: Taking taylor expansion of 0 in im 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.978 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.978 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.979 * [taylor]: Taking taylor expansion of re in im 0.979 * [backup-simplify]: Simplify re into re 0.979 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.979 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.979 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [backup-simplify]: Simplify im into im 0.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify 1 into 1 0.980 * [backup-simplify]: Simplify (* 1 1) into 1 0.980 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.981 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.981 * [taylor]: Taking taylor expansion of im in re 0.981 * [backup-simplify]: Simplify im into im 0.981 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.981 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.981 * [backup-simplify]: Simplify (+ 1 0) into 1 0.981 * [taylor]: Taking taylor expansion of 1 in im 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in im 0.982 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.986 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in im 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in im 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.990 * * * [progress]: simplifying candidates 0.990 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.990 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.990 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.990 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.990 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.990 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.991 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.991 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 0.991 * * [simplify]: iters left: 6 (8 enodes) 0.993 * * [simplify]: iters left: 5 (26 enodes) 0.996 * * [simplify]: Extracting #0: cost 1 inf + 0 0.996 * * [simplify]: Extracting #1: cost 4 inf + 0 0.996 * * [simplify]: Extracting #2: cost 7 inf + 0 0.996 * * [simplify]: Extracting #3: cost 10 inf + 0 0.996 * * [simplify]: Extracting #4: cost 14 inf + 0 0.996 * * [simplify]: Extracting #5: cost 10 inf + 84 0.996 * * [simplify]: Extracting #6: cost 8 inf + 166 0.996 * * [simplify]: Extracting #7: cost 4 inf + 854 0.997 * * [simplify]: Extracting #8: cost 1 inf + 1540 0.997 * * [simplify]: Extracting #9: cost 0 inf + 1782 0.997 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 0.997 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 0.997 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.997 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 0.998 * * [simplify]: iters left: 6 (7 enodes) 0.999 * * [simplify]: iters left: 5 (22 enodes) 1.002 * * [simplify]: Extracting #0: cost 1 inf + 0 1.002 * * [simplify]: Extracting #1: cost 3 inf + 0 1.002 * * [simplify]: Extracting #2: cost 5 inf + 0 1.002 * * [simplify]: Extracting #3: cost 8 inf + 0 1.002 * * [simplify]: Extracting #4: cost 12 inf + 0 1.002 * * [simplify]: Extracting #5: cost 10 inf + 2 1.002 * * [simplify]: Extracting #6: cost 1 inf + 936 1.003 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.003 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 1.003 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 1.003 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 1.003 * [simplify]: Simplifying (sqrt 1) 1.003 * * [simplify]: iters left: 1 (2 enodes) 1.005 * * [simplify]: Extracting #0: cost 1 inf + 0 1.005 * * [simplify]: Extracting #1: cost 0 inf + 1 1.005 * [simplify]: Simplified to 1 1.005 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 1.005 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 1.005 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 1.005 * * [simplify]: iters left: 6 (9 enodes) 1.008 * * [simplify]: iters left: 5 (45 enodes) 1.024 * * [simplify]: iters left: 4 (100 enodes) 1.067 * * [simplify]: iters left: 3 (201 enodes) 1.150 * * [simplify]: iters left: 2 (406 enodes) 1.314 * * [simplify]: Extracting #0: cost 1 inf + 0 1.314 * * [simplify]: Extracting #1: cost 3 inf + 0 1.314 * * [simplify]: Extracting #2: cost 6 inf + 0 1.315 * * [simplify]: Extracting #3: cost 62 inf + 0 1.316 * * [simplify]: Extracting #4: cost 166 inf + 460 1.318 * * [simplify]: Extracting #5: cost 131 inf + 12951 1.325 * * [simplify]: Extracting #6: cost 49 inf + 45746 1.336 * * [simplify]: Extracting #7: cost 1 inf + 66256 1.347 * * [simplify]: Extracting #8: cost 0 inf + 65919 1.357 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 1.357 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 1.357 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 1.358 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.358 * * [simplify]: iters left: 6 (8 enodes) 1.362 * * [simplify]: iters left: 5 (37 enodes) 1.370 * * [simplify]: iters left: 4 (67 enodes) 1.384 * * [simplify]: iters left: 3 (123 enodes) 1.418 * * [simplify]: iters left: 2 (278 enodes) 1.540 * * [simplify]: Extracting #0: cost 1 inf + 0 1.540 * * [simplify]: Extracting #1: cost 3 inf + 0 1.540 * * [simplify]: Extracting #2: cost 50 inf + 0 1.541 * * [simplify]: Extracting #3: cost 150 inf + 0 1.546 * * [simplify]: Extracting #4: cost 194 inf + 1180 1.548 * * [simplify]: Extracting #5: cost 123 inf + 12421 1.554 * * [simplify]: Extracting #6: cost 12 inf + 33804 1.561 * * [simplify]: Extracting #7: cost 0 inf + 36129 1.569 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 1.569 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 1.569 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 1.569 * [simplify]: Simplifying (+ (* re re) (* im im)) 1.569 * * [simplify]: iters left: 4 (5 enodes) 1.570 * * [simplify]: iters left: 3 (16 enodes) 1.572 * * [simplify]: Extracting #0: cost 1 inf + 0 1.572 * * [simplify]: Extracting #1: cost 4 inf + 0 1.572 * * [simplify]: Extracting #2: cost 8 inf + 0 1.572 * * [simplify]: Extracting #3: cost 4 inf + 84 1.573 * * [simplify]: Extracting #4: cost 0 inf + 410 1.573 * [simplify]: Simplified to (+ (* re re) (* im im)) 1.573 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 1.573 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 1.573 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 1.573 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 1.573 * * [simplify]: iters left: 5 (6 enodes) 1.575 * * [simplify]: iters left: 4 (19 enodes) 1.580 * * [simplify]: Extracting #0: cost 1 inf + 0 1.580 * * [simplify]: Extracting #1: cost 3 inf + 0 1.580 * * [simplify]: Extracting #2: cost 6 inf + 0 1.580 * * [simplify]: Extracting #3: cost 10 inf + 0 1.580 * * [simplify]: Extracting #4: cost 6 inf + 84 1.580 * * [simplify]: Extracting #5: cost 0 inf + 734 1.581 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 1.581 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (fabs (sqrt (+ (* re re) (* im im)))) re))))) 1.581 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 1.581 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 1.581 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 1.581 * [simplify]: Simplifying (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 1.582 * * [simplify]: iters left: 6 (9 enodes) 1.585 * * [simplify]: iters left: 5 (31 enodes) 1.592 * * [simplify]: iters left: 4 (35 enodes) 1.597 * * [simplify]: Extracting #0: cost 1 inf + 0 1.597 * * [simplify]: Extracting #1: cost 5 inf + 0 1.597 * * [simplify]: Extracting #2: cost 10 inf + 0 1.597 * * [simplify]: Extracting #3: cost 11 inf + 1 1.597 * * [simplify]: Extracting #4: cost 12 inf + 143 1.597 * * [simplify]: Extracting #5: cost 14 inf + 184 1.597 * * [simplify]: Extracting #6: cost 10 inf + 308 1.597 * * [simplify]: Extracting #7: cost 7 inf + 794 1.597 * * [simplify]: Extracting #8: cost 1 inf + 2056 1.598 * * [simplify]: Extracting #9: cost 0 inf + 2288 1.598 * [simplify]: Simplified to (exp (+ (sqrt (+ (* re re) (* im im))) re)) 1.598 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (log (exp (+ (sqrt (+ (* re re) (* im im))) re))))))) 1.598 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 1.598 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 1.598 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 1.598 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 1.599 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 1.599 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 1.599 * * [simplify]: iters left: 6 (7 enodes) 1.600 * * [simplify]: iters left: 5 (23 enodes) 1.604 * * [simplify]: Extracting #0: cost 1 inf + 0 1.604 * * [simplify]: Extracting #1: cost 4 inf + 0 1.604 * * [simplify]: Extracting #2: cost 5 inf + 1 1.604 * * [simplify]: Extracting #3: cost 8 inf + 1 1.604 * * [simplify]: Extracting #4: cost 10 inf + 42 1.604 * * [simplify]: Extracting #5: cost 8 inf + 84 1.604 * * [simplify]: Extracting #6: cost 1 inf + 936 1.604 * * [simplify]: Extracting #7: cost 0 inf + 1138 1.604 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 1.604 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 1 (+ (sqrt (+ (* re re) (* im im))) re)))))) 1.604 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 1.605 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 1.605 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 1.605 * [simplify]: Simplifying (sqrt 2.0) 1.605 * * [simplify]: iters left: 1 (2 enodes) 1.606 * * [simplify]: Extracting #0: cost 1 inf + 0 1.606 * * [simplify]: Extracting #1: cost 3 inf + 0 1.606 * * [simplify]: Extracting #2: cost 2 inf + 1 1.606 * * [simplify]: Extracting #3: cost 0 inf + 83 1.606 * [simplify]: Simplified to (sqrt 2.0) 1.606 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 1.606 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 1.607 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 1.607 * * [simplify]: iters left: 6 (13 enodes) 1.611 * * [simplify]: iters left: 5 (60 enodes) 1.634 * * [simplify]: iters left: 4 (109 enodes) 1.676 * * [simplify]: iters left: 3 (209 enodes) 1.727 * * [simplify]: iters left: 2 (444 enodes) 1.895 * * [simplify]: Extracting #0: cost 1 inf + 0 1.895 * * [simplify]: Extracting #1: cost 3 inf + 0 1.895 * * [simplify]: Extracting #2: cost 14 inf + 0 1.895 * * [simplify]: Extracting #3: cost 101 inf + 1 1.897 * * [simplify]: Extracting #4: cost 193 inf + 736 1.902 * * [simplify]: Extracting #5: cost 133 inf + 14308 1.912 * * [simplify]: Extracting #6: cost 18 inf + 66689 1.924 * * [simplify]: Extracting #7: cost 0 inf + 74616 1.942 * * [simplify]: Extracting #8: cost 0 inf + 74234 1.966 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) 1.966 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (* (* re re) re)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 1.966 * * * * [progress]: [ 38 / 67 ] simplifiying candidate # 1.966 * [simplify]: Simplifying (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 1.967 * * [simplify]: iters left: 6 (11 enodes) 1.973 * * [simplify]: iters left: 5 (38 enodes) 1.985 * * [simplify]: iters left: 4 (70 enodes) 2.010 * * [simplify]: iters left: 3 (163 enodes) 2.052 * * [simplify]: iters left: 2 (400 enodes) 2.342 * * [simplify]: Extracting #0: cost 1 inf + 0 2.342 * * [simplify]: Extracting #1: cost 3 inf + 0 2.342 * * [simplify]: Extracting #2: cost 60 inf + 0 2.343 * * [simplify]: Extracting #3: cost 168 inf + 44 2.345 * * [simplify]: Extracting #4: cost 209 inf + 1112 2.351 * * [simplify]: Extracting #5: cost 129 inf + 16179 2.363 * * [simplify]: Extracting #6: cost 16 inf + 47708 2.377 * * [simplify]: Extracting #7: cost 0 inf + 52863 2.397 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 2.397 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 2.398 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 2.398 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.398 * * [simplify]: iters left: 6 (9 enodes) 2.401 * * [simplify]: iters left: 5 (36 enodes) 2.409 * * [simplify]: iters left: 4 (46 enodes) 2.414 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 6 inf + 0 2.414 * * [simplify]: Extracting #2: cost 10 inf + 1 2.415 * * [simplify]: Extracting #3: cost 10 inf + 44 2.415 * * [simplify]: Extracting #4: cost 12 inf + 86 2.415 * * [simplify]: Extracting #5: cost 14 inf + 127 2.415 * * [simplify]: Extracting #6: cost 12 inf + 169 2.415 * * [simplify]: Extracting #7: cost 8 inf + 495 2.415 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.416 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.416 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.416 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.416 * * * * [progress]: [ 40 / 67 ] simplifiying candidate # 2.416 * [simplify]: Simplifying (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) 2.416 * * [simplify]: iters left: 6 (9 enodes) 2.419 * * [simplify]: iters left: 5 (36 enodes) 2.424 * * [simplify]: iters left: 4 (46 enodes) 2.434 * * [simplify]: Extracting #0: cost 1 inf + 0 2.434 * * [simplify]: Extracting #1: cost 6 inf + 0 2.434 * * [simplify]: Extracting #2: cost 10 inf + 1 2.434 * * [simplify]: Extracting #3: cost 10 inf + 44 2.434 * * [simplify]: Extracting #4: cost 12 inf + 86 2.435 * * [simplify]: Extracting #5: cost 14 inf + 127 2.435 * * [simplify]: Extracting #6: cost 12 inf + 169 2.435 * * [simplify]: Extracting #7: cost 8 inf + 495 2.436 * * [simplify]: Extracting #8: cost 3 inf + 1467 2.436 * * [simplify]: Extracting #9: cost 0 inf + 2115 2.437 * [simplify]: Simplified to (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) 2.437 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2.0) (/ 1 2)))) 2.437 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 2.438 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 2.438 * * * * [progress]: [ 43 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 2.438 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 2.438 * [simplify]: Simplifying (* (exp (* re re)) (exp (* im im))) 2.438 * * [simplify]: iters left: 5 (7 enodes) 2.441 * * [simplify]: iters left: 4 (28 enodes) 2.446 * * [simplify]: iters left: 3 (43 enodes) 2.452 * * [simplify]: iters left: 2 (75 enodes) 2.465 * * [simplify]: iters left: 1 (169 enodes) 2.559 * * [simplify]: Extracting #0: cost 1 inf + 0 2.559 * * [simplify]: Extracting #1: cost 28 inf + 0 2.560 * * [simplify]: Extracting #2: cost 119 inf + 0 2.561 * * [simplify]: Extracting #3: cost 136 inf + 1135 2.562 * * [simplify]: Extracting #4: cost 131 inf + 1568 2.565 * * [simplify]: Extracting #5: cost 99 inf + 8302 2.575 * * [simplify]: Extracting #6: cost 11 inf + 60490 2.589 * * [simplify]: Extracting #7: cost 0 inf + 69564 2.599 * [simplify]: Simplified to (exp (+ (* re re) (* im im))) 2.599 * [simplify]: Simplified (2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (log (exp (+ (* re re) (* im im))))) re))))) 2.599 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 54 / 67 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 2.599 * * * * [progress]: [ 55 / 67 ] simplifiying candidate # 2.599 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 2.599 * [simplify]: Simplifying im 2.599 * * [simplify]: iters left: 0 (1 enodes) 2.600 * * [simplify]: Extracting #0: cost 1 inf + 0 2.600 * * [simplify]: Extracting #1: cost 0 inf + 1 2.600 * [simplify]: Simplified to im 2.600 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.600 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 2.600 * [simplify]: Simplifying re 2.600 * * [simplify]: iters left: 0 (1 enodes) 2.600 * * [simplify]: Extracting #0: cost 1 inf + 0 2.600 * * [simplify]: Extracting #1: cost 0 inf + 1 2.600 * [simplify]: Simplified to re 2.600 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re re))))) 2.600 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 2.600 * [simplify]: Simplifying (* -1 re) 2.600 * * [simplify]: iters left: 2 (3 enodes) 2.602 * * [simplify]: iters left: 1 (11 enodes) 2.603 * * [simplify]: Extracting #0: cost 1 inf + 0 2.603 * * [simplify]: Extracting #1: cost 4 inf + 0 2.603 * * [simplify]: Extracting #2: cost 0 inf + 84 2.603 * [simplify]: Simplified to (- re) 2.603 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (- re) re))))) 2.603 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 2.603 * [simplify]: Simplifying (+ re im) 2.604 * * [simplify]: iters left: 2 (3 enodes) 2.604 * * [simplify]: iters left: 1 (10 enodes) 2.605 * * [simplify]: Extracting #0: cost 1 inf + 0 2.605 * * [simplify]: Extracting #1: cost 4 inf + 0 2.605 * * [simplify]: Extracting #2: cost 2 inf + 2 2.605 * * [simplify]: Extracting #3: cost 0 inf + 86 2.605 * [simplify]: Simplified to (+ im re) 2.605 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ im re))))) 2.605 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 2.606 * [simplify]: Simplifying (* 2 re) 2.606 * * [simplify]: iters left: 2 (3 enodes) 2.607 * * [simplify]: iters left: 1 (10 enodes) 2.611 * * [simplify]: Extracting #0: cost 1 inf + 0 2.611 * * [simplify]: Extracting #1: cost 4 inf + 0 2.611 * * [simplify]: Extracting #2: cost 2 inf + 2 2.611 * * [simplify]: Extracting #3: cost 0 inf + 86 2.611 * [simplify]: Simplified to (* 2 re) 2.611 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (* 2 re))))) 2.611 * * * * [progress]: [ 61 / 67 ] simplifiying candidate # 2.611 * [simplify]: Simplifying 0 2.611 * * [simplify]: iters left: 0 (1 enodes) 2.612 * * [simplify]: Extracting #0: cost 1 inf + 0 2.612 * * [simplify]: Extracting #1: cost 0 inf + 1 2.612 * [simplify]: Simplified to 0 2.612 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 0)))) 2.612 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 2.612 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 2.612 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.612 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 2.612 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.612 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 2.612 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 2.612 * [simplify]: Simplifying 0 2.612 * * [simplify]: iters left: 0 (1 enodes) 2.613 * * [simplify]: Extracting #0: cost 1 inf + 0 2.613 * * [simplify]: Extracting #1: cost 0 inf + 1 2.613 * [simplify]: Simplified to 0 2.613 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 2.613 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 2.613 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.613 * * [simplify]: iters left: 3 (6 enodes) 2.616 * * [simplify]: iters left: 2 (27 enodes) 2.624 * * [simplify]: iters left: 1 (31 enodes) 2.632 * * [simplify]: Extracting #0: cost 1 inf + 0 2.632 * * [simplify]: Extracting #1: cost 4 inf + 0 2.632 * * [simplify]: Extracting #2: cost 9 inf + 0 2.632 * * [simplify]: Extracting #3: cost 6 inf + 3 2.632 * * [simplify]: Extracting #4: cost 1 inf + 370 2.632 * * [simplify]: Extracting #5: cost 0 inf + 411 2.633 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.633 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.633 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 2.633 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.633 * * [simplify]: iters left: 3 (6 enodes) 2.637 * * [simplify]: iters left: 2 (27 enodes) 2.645 * * [simplify]: iters left: 1 (31 enodes) 2.653 * * [simplify]: Extracting #0: cost 1 inf + 0 2.653 * * [simplify]: Extracting #1: cost 4 inf + 0 2.653 * * [simplify]: Extracting #2: cost 9 inf + 0 2.653 * * [simplify]: Extracting #3: cost 6 inf + 3 2.653 * * [simplify]: Extracting #4: cost 1 inf + 370 2.653 * * [simplify]: Extracting #5: cost 0 inf + 411 2.654 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.654 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.654 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 2.654 * [simplify]: Simplifying (+ (pow im 2) (pow re 2)) 2.654 * * [simplify]: iters left: 3 (6 enodes) 2.658 * * [simplify]: iters left: 2 (27 enodes) 2.667 * * [simplify]: iters left: 1 (31 enodes) 2.675 * * [simplify]: Extracting #0: cost 1 inf + 0 2.675 * * [simplify]: Extracting #1: cost 4 inf + 0 2.675 * * [simplify]: Extracting #2: cost 9 inf + 0 2.675 * * [simplify]: Extracting #3: cost 6 inf + 3 2.676 * * [simplify]: Extracting #4: cost 1 inf + 370 2.676 * * [simplify]: Extracting #5: cost 0 inf + 411 2.676 * [simplify]: Simplified to (+ (* im im) (* re re)) 2.676 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) 2.676 * * * [progress]: adding candidates to table 3.438 * * [progress]: iteration 2 / 4 3.438 * * * [progress]: picking best candidate 3.463 * * * * [pick]: Picked # 3.463 * * * [progress]: localizing error 3.515 * * * [progress]: generating rewritten candidates 3.515 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 3.526 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.550 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.623 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 3.683 * * * [progress]: generating series expansions 3.683 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 3.684 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.684 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.684 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.684 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.684 * [taylor]: Taking taylor expansion of im in im 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.684 * [taylor]: Taking taylor expansion of re in im 3.684 * [backup-simplify]: Simplify re into re 3.684 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.684 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.684 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.684 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.685 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.685 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.685 * [taylor]: Taking taylor expansion of im in re 3.685 * [backup-simplify]: Simplify im into im 3.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.685 * [taylor]: Taking taylor expansion of re in re 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 1 into 1 3.685 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.686 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.686 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.686 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.686 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.686 * [taylor]: Taking taylor expansion of im in re 3.686 * [backup-simplify]: Simplify im into im 3.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.686 * [taylor]: Taking taylor expansion of re in re 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.687 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.687 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.687 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.687 * [backup-simplify]: Simplify (+ 0 0) into 0 3.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.687 * [taylor]: Taking taylor expansion of im in im 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [taylor]: Taking taylor expansion of 0 in im 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 1 into 1 3.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.689 * [backup-simplify]: Simplify (* 1 1) into 1 3.689 * [backup-simplify]: Simplify (+ 0 1) into 1 3.690 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.690 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.690 * [taylor]: Taking taylor expansion of 1/2 in im 3.690 * [backup-simplify]: Simplify 1/2 into 1/2 3.690 * [taylor]: Taking taylor expansion of im in im 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.691 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.693 * [taylor]: Taking taylor expansion of 0 in im 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.695 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.695 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.695 * [taylor]: Taking taylor expansion of re in im 3.695 * [backup-simplify]: Simplify re into re 3.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.695 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.695 * [taylor]: Taking taylor expansion of im in im 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.697 * [backup-simplify]: Simplify (+ 0 1) into 1 3.697 * [backup-simplify]: Simplify (sqrt 1) into 1 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ 0 0) into 0 3.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.700 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.700 * [taylor]: Taking taylor expansion of re in re 3.700 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (* 1 1) into 1 3.701 * [backup-simplify]: Simplify (/ 1 1) into 1 3.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.701 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.701 * [taylor]: Taking taylor expansion of im in re 3.701 * [backup-simplify]: Simplify im into im 3.701 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.702 * [backup-simplify]: Simplify (+ 1 0) into 1 3.702 * [backup-simplify]: Simplify (sqrt 1) into 1 3.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.705 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.705 * [taylor]: Taking taylor expansion of re in re 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* 1 1) into 1 3.706 * [backup-simplify]: Simplify (/ 1 1) into 1 3.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.706 * [taylor]: Taking taylor expansion of im in re 3.706 * [backup-simplify]: Simplify im into im 3.706 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.706 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.707 * [backup-simplify]: Simplify (+ 1 0) into 1 3.707 * [backup-simplify]: Simplify (sqrt 1) into 1 3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.710 * [taylor]: Taking taylor expansion of 1 in im 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [taylor]: Taking taylor expansion of 0 in im 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.712 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.713 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.713 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.713 * [taylor]: Taking taylor expansion of 1/2 in im 3.713 * [backup-simplify]: Simplify 1/2 into 1/2 3.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.713 * [taylor]: Taking taylor expansion of im in im 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.719 * [backup-simplify]: Simplify (+ 0 0) into 0 3.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.719 * [taylor]: Taking taylor expansion of 0 in im 3.719 * [backup-simplify]: Simplify 0 into 0 3.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.722 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.722 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.722 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.722 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.722 * [taylor]: Taking taylor expansion of re in im 3.722 * [backup-simplify]: Simplify re into re 3.722 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.722 * [taylor]: Taking taylor expansion of im in im 3.722 * [backup-simplify]: Simplify 0 into 0 3.722 * [backup-simplify]: Simplify 1 into 1 3.723 * [backup-simplify]: Simplify (* 1 1) into 1 3.723 * [backup-simplify]: Simplify (/ 1 1) into 1 3.724 * [backup-simplify]: Simplify (+ 0 1) into 1 3.724 * [backup-simplify]: Simplify (sqrt 1) into 1 3.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.726 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.727 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.727 * [taylor]: Taking taylor expansion of re in re 3.727 * [backup-simplify]: Simplify 0 into 0 3.727 * [backup-simplify]: Simplify 1 into 1 3.727 * [backup-simplify]: Simplify (* 1 1) into 1 3.727 * [backup-simplify]: Simplify (/ 1 1) into 1 3.727 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.727 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.728 * [taylor]: Taking taylor expansion of im in re 3.728 * [backup-simplify]: Simplify im into im 3.728 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.728 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.728 * [backup-simplify]: Simplify (+ 1 0) into 1 3.729 * [backup-simplify]: Simplify (sqrt 1) into 1 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.731 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.731 * [taylor]: Taking taylor expansion of re in re 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.732 * [backup-simplify]: Simplify (/ 1 1) into 1 3.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.732 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.732 * [taylor]: Taking taylor expansion of im in re 3.732 * [backup-simplify]: Simplify im into im 3.732 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.732 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.733 * [backup-simplify]: Simplify (+ 1 0) into 1 3.733 * [backup-simplify]: Simplify (sqrt 1) into 1 3.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.736 * [taylor]: Taking taylor expansion of 1 in im 3.736 * [backup-simplify]: Simplify 1 into 1 3.736 * [taylor]: Taking taylor expansion of 0 in im 3.736 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify 1 into 1 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.738 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.739 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.739 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.739 * [taylor]: Taking taylor expansion of 1/2 in im 3.739 * [backup-simplify]: Simplify 1/2 into 1/2 3.739 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.739 * [taylor]: Taking taylor expansion of im in im 3.739 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify 1 into 1 3.740 * [backup-simplify]: Simplify (* 1 1) into 1 3.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.745 * [taylor]: Taking taylor expansion of 0 in im 3.745 * [backup-simplify]: Simplify 0 into 0 3.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.748 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.748 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 3.748 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 3.748 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.748 * [taylor]: Taking taylor expansion of 2.0 in im 3.748 * [backup-simplify]: Simplify 2.0 into 2.0 3.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.749 * [taylor]: Taking taylor expansion of im in im 3.749 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify 1 into 1 3.749 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.749 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.749 * [taylor]: Taking taylor expansion of 2.0 in im 3.749 * [backup-simplify]: Simplify 2.0 into 2.0 3.750 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.750 * [taylor]: Taking taylor expansion of im in im 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 1 into 1 3.751 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.753 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 3.754 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.756 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 3.756 * [backup-simplify]: Simplify 0 into 0 3.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.759 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.759 * [backup-simplify]: Simplify 0 into 0 3.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.762 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.762 * [backup-simplify]: Simplify 0 into 0 3.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.766 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.766 * [backup-simplify]: Simplify 0 into 0 3.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.769 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 3.769 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.772 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 3.772 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 3.773 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 3.773 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 3.773 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.773 * [taylor]: Taking taylor expansion of 2.0 in im 3.773 * [backup-simplify]: Simplify 2.0 into 2.0 3.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.774 * [taylor]: Taking taylor expansion of im in im 3.775 * [backup-simplify]: Simplify 0 into 0 3.775 * [backup-simplify]: Simplify 1 into 1 3.775 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.775 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.775 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.776 * [taylor]: Taking taylor expansion of 2.0 in im 3.776 * [backup-simplify]: Simplify 2.0 into 2.0 3.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.777 * [taylor]: Taking taylor expansion of im in im 3.777 * [backup-simplify]: Simplify 0 into 0 3.777 * [backup-simplify]: Simplify 1 into 1 3.778 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.778 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.781 * [backup-simplify]: Simplify 0 into 0 3.783 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.787 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.790 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.793 * [backup-simplify]: Simplify 0 into 0 3.793 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 3.793 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 3.793 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 3.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.794 * [taylor]: Taking taylor expansion of 2.0 in im 3.794 * [backup-simplify]: Simplify 2.0 into 2.0 3.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.795 * [taylor]: Taking taylor expansion of im in im 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.796 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.796 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.796 * [taylor]: Taking taylor expansion of 2.0 in im 3.796 * [backup-simplify]: Simplify 2.0 into 2.0 3.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.797 * [taylor]: Taking taylor expansion of im in im 3.797 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 3.816 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.816 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 3.816 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 3.816 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 3.816 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 3.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.816 * [taylor]: Taking taylor expansion of 2.0 in re 3.816 * [backup-simplify]: Simplify 2.0 into 2.0 3.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.817 * [taylor]: Taking taylor expansion of im in re 3.817 * [backup-simplify]: Simplify im into im 3.817 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 3.817 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 3.817 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 3.817 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.817 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.817 * [taylor]: Taking taylor expansion of im in re 3.817 * [backup-simplify]: Simplify im into im 3.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.817 * [taylor]: Taking taylor expansion of re in re 3.817 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.817 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.817 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.817 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.817 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.818 * [taylor]: Taking taylor expansion of re in re 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.818 * [backup-simplify]: Simplify (- 0) into 0 3.818 * [backup-simplify]: Simplify (+ im 0) into im 3.818 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.818 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 3.818 * [backup-simplify]: Simplify (- 1) into -1 3.818 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 3.819 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 3.819 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 3.819 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.819 * [taylor]: Taking taylor expansion of 2.0 in im 3.819 * [backup-simplify]: Simplify 2.0 into 2.0 3.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.819 * [taylor]: Taking taylor expansion of im in im 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 3.820 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 3.820 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.820 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.820 * [taylor]: Taking taylor expansion of im in im 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.820 * [taylor]: Taking taylor expansion of re in im 3.820 * [backup-simplify]: Simplify re into re 3.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.820 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.820 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.820 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.820 * [taylor]: Taking taylor expansion of re in im 3.820 * [backup-simplify]: Simplify re into re 3.820 * [backup-simplify]: Simplify (- re) into (- re) 3.820 * [backup-simplify]: Simplify (+ re (- re)) into 0 3.821 * [backup-simplify]: Simplify (- 0) into 0 3.821 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (* 1 1) into 1 3.821 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.822 * [backup-simplify]: Simplify (+ 1 0) into 1 3.822 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.822 * [backup-simplify]: Simplify (- 0) into 0 3.822 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 3.822 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 3.822 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.824 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 3.824 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.824 * [taylor]: Taking taylor expansion of 2.0 in im 3.824 * [backup-simplify]: Simplify 2.0 into 2.0 3.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.825 * [taylor]: Taking taylor expansion of im in im 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 3.825 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 3.825 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 3.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.825 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.825 * [taylor]: Taking taylor expansion of im in im 3.825 * [backup-simplify]: Simplify 0 into 0 3.825 * [backup-simplify]: Simplify 1 into 1 3.825 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.825 * [taylor]: Taking taylor expansion of re in im 3.825 * [backup-simplify]: Simplify re into re 3.825 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.825 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.825 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.825 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.826 * [taylor]: Taking taylor expansion of re in im 3.826 * [backup-simplify]: Simplify re into re 3.826 * [backup-simplify]: Simplify (- re) into (- re) 3.826 * [backup-simplify]: Simplify (+ re (- re)) into 0 3.826 * [backup-simplify]: Simplify (- 0) into 0 3.826 * [backup-simplify]: Simplify (+ 0 0) into 0 3.827 * [backup-simplify]: Simplify (* 1 1) into 1 3.827 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.827 * [backup-simplify]: Simplify (+ 1 0) into 1 3.828 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.828 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 3.828 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 3.828 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.829 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.829 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.830 * [backup-simplify]: Simplify (+ 0 0) into 0 3.830 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 3.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.830 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.831 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 3.831 * [taylor]: Taking taylor expansion of 0 in re 3.831 * [backup-simplify]: Simplify 0 into 0 3.831 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 3.832 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 3.833 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 3.833 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 3.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.833 * [taylor]: Taking taylor expansion of 2.0 in re 3.833 * [backup-simplify]: Simplify 2.0 into 2.0 3.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.833 * [taylor]: Taking taylor expansion of (sqrt 2) in re 3.833 * [taylor]: Taking taylor expansion of 2 in re 3.833 * [backup-simplify]: Simplify 2 into 2 3.834 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.834 * [taylor]: Taking taylor expansion of (sqrt re) in re 3.834 * [taylor]: Taking taylor expansion of re in re 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [backup-simplify]: Simplify (sqrt 0) into 0 3.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.836 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 3.837 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify 0 into 0 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.838 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.839 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 3.839 * [backup-simplify]: Simplify (- 0) into 0 3.839 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 3.839 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 3.840 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 3.841 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.841 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 3.843 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 3.843 * [taylor]: Taking taylor expansion of 0 in re 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify 0 into 0 3.843 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 3.845 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.848 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.848 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.851 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 3.852 * [backup-simplify]: Simplify (- 0) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 3.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 3.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.857 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 3.860 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 3.860 * [taylor]: Taking taylor expansion of 1/4 in re 3.860 * [backup-simplify]: Simplify 1/4 into 1/4 3.860 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 3.860 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 3.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.860 * [taylor]: Taking taylor expansion of 2.0 in re 3.860 * [backup-simplify]: Simplify 2.0 into 2.0 3.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.861 * [taylor]: Taking taylor expansion of (sqrt 2) in re 3.861 * [taylor]: Taking taylor expansion of 2 in re 3.861 * [backup-simplify]: Simplify 2 into 2 3.862 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.863 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 3.864 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 3.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 3.864 * [taylor]: Taking taylor expansion of (pow re 3) in re 3.864 * [taylor]: Taking taylor expansion of re in re 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (* 1 1) into 1 3.864 * [backup-simplify]: Simplify (* 1 1) into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [backup-simplify]: Simplify (sqrt 0) into 0 3.867 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.872 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.874 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 3.875 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.876 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 3.882 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.886 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.887 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 3.894 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.897 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.898 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.901 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.904 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.908 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.910 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.922 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 3.923 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 3.923 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 3.923 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 3.923 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.923 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.923 * [taylor]: Taking taylor expansion of 2.0 in re 3.923 * [backup-simplify]: Simplify 2.0 into 2.0 3.923 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.924 * [taylor]: Taking taylor expansion of im in re 3.924 * [backup-simplify]: Simplify im into im 3.925 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 3.925 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 3.925 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.925 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.925 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.925 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.925 * [taylor]: Taking taylor expansion of re in re 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (* 1 1) into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.926 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.926 * [taylor]: Taking taylor expansion of im in re 3.926 * [backup-simplify]: Simplify im into im 3.926 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.926 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.926 * [backup-simplify]: Simplify (+ 1 0) into 1 3.927 * [backup-simplify]: Simplify (sqrt 1) into 1 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.929 * [taylor]: Taking taylor expansion of re in re 3.929 * [backup-simplify]: Simplify 0 into 0 3.929 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (- 1) into -1 3.931 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.936 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.937 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 3.937 * [backup-simplify]: Simplify (sqrt 0) into 0 3.937 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 3.938 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 3.938 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.938 * [taylor]: Taking taylor expansion of 2.0 in im 3.938 * [backup-simplify]: Simplify 2.0 into 2.0 3.938 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.939 * [taylor]: Taking taylor expansion of im in im 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.940 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.940 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.940 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.940 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.940 * [taylor]: Taking taylor expansion of re in im 3.940 * [backup-simplify]: Simplify re into re 3.940 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.940 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.940 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.940 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.940 * [taylor]: Taking taylor expansion of im in im 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (/ 1 1) into 1 3.941 * [backup-simplify]: Simplify (+ 0 1) into 1 3.942 * [backup-simplify]: Simplify (sqrt 1) into 1 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.943 * [backup-simplify]: Simplify (+ 0 0) into 0 3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.944 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.944 * [taylor]: Taking taylor expansion of re in im 3.944 * [backup-simplify]: Simplify re into re 3.944 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.945 * [backup-simplify]: Simplify (+ 1 0) into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.945 * [backup-simplify]: Simplify (sqrt 0) into 0 3.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.947 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 3.947 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.947 * [taylor]: Taking taylor expansion of 2.0 in im 3.947 * [backup-simplify]: Simplify 2.0 into 2.0 3.947 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.948 * [taylor]: Taking taylor expansion of im in im 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 3.949 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 3.949 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.949 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.949 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.949 * [taylor]: Taking taylor expansion of re in im 3.949 * [backup-simplify]: Simplify re into re 3.949 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.949 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.950 * [taylor]: Taking taylor expansion of im in im 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.950 * [backup-simplify]: Simplify (* 1 1) into 1 3.950 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [backup-simplify]: Simplify (+ 0 1) into 1 3.951 * [backup-simplify]: Simplify (sqrt 1) into 1 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.954 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.954 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.954 * [taylor]: Taking taylor expansion of re in im 3.954 * [backup-simplify]: Simplify re into re 3.954 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.954 * [backup-simplify]: Simplify (+ 1 0) into 1 3.954 * [backup-simplify]: Simplify (/ 1 1) into 1 3.955 * [backup-simplify]: Simplify (sqrt 0) into 0 3.956 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.957 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.957 * [taylor]: Taking taylor expansion of 0 in re 3.957 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.960 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.960 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.960 * [taylor]: Taking taylor expansion of +nan.0 in re 3.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.960 * [taylor]: Taking taylor expansion of 2.0 in re 3.960 * [backup-simplify]: Simplify 2.0 into 2.0 3.960 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.961 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 3.963 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 3.964 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.966 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.966 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.966 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.966 * [taylor]: Taking taylor expansion of +nan.0 in re 3.966 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.966 * [taylor]: Taking taylor expansion of 2.0 in re 3.966 * [backup-simplify]: Simplify 2.0 into 2.0 3.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.967 * [taylor]: Taking taylor expansion of +nan.0 in re 3.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.967 * [taylor]: Taking taylor expansion of 2.0 in re 3.967 * [backup-simplify]: Simplify 2.0 into 2.0 3.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.968 * [taylor]: Taking taylor expansion of re in re 3.968 * [backup-simplify]: Simplify 0 into 0 3.968 * [backup-simplify]: Simplify 1 into 1 3.968 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.969 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.970 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.971 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.972 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.973 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.974 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.975 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.976 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.977 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.978 * [backup-simplify]: Simplify (- 0) into 0 3.978 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.978 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.979 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.981 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 3.981 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 3.981 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.981 * [taylor]: Taking taylor expansion of +nan.0 in re 3.981 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.981 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.981 * [taylor]: Taking taylor expansion of 2.0 in re 3.981 * [backup-simplify]: Simplify 2.0 into 2.0 3.981 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.982 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 3.982 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 3.982 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.982 * [taylor]: Taking taylor expansion of +nan.0 in re 3.982 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.982 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.982 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.982 * [taylor]: Taking taylor expansion of 2.0 in re 3.982 * [backup-simplify]: Simplify 2.0 into 2.0 3.982 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.982 * [taylor]: Taking taylor expansion of re in re 3.982 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 3.983 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.983 * [taylor]: Taking taylor expansion of +nan.0 in re 3.983 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.983 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.983 * [taylor]: Taking taylor expansion of 2.0 in re 3.983 * [backup-simplify]: Simplify 2.0 into 2.0 3.983 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.984 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.984 * [taylor]: Taking taylor expansion of re in re 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (* 1 1) into 1 3.985 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.985 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.988 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.989 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.990 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.992 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.992 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.995 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 3.996 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 3.996 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 3.996 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 3.996 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.996 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.996 * [taylor]: Taking taylor expansion of 2.0 in re 3.996 * [backup-simplify]: Simplify 2.0 into 2.0 3.996 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.996 * [taylor]: Taking taylor expansion of im in re 3.996 * [backup-simplify]: Simplify im into im 3.997 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.997 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 3.997 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.997 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.997 * [taylor]: Taking taylor expansion of re in re 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.997 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.997 * [taylor]: Taking taylor expansion of re in re 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.998 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.998 * [taylor]: Taking taylor expansion of im in re 3.998 * [backup-simplify]: Simplify im into im 3.998 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.998 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.998 * [backup-simplify]: Simplify (+ 1 0) into 1 3.998 * [backup-simplify]: Simplify (sqrt 1) into 1 3.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.000 * [backup-simplify]: Simplify (+ 0 0) into 0 4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.001 * [backup-simplify]: Simplify (+ 1 1) into 2 4.002 * [backup-simplify]: Simplify (/ 1 2) into 1/2 4.002 * [backup-simplify]: Simplify (sqrt 0) into 0 4.003 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 4.003 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 4.003 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.003 * [taylor]: Taking taylor expansion of 2.0 in im 4.004 * [backup-simplify]: Simplify 2.0 into 2.0 4.004 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.005 * [taylor]: Taking taylor expansion of im in im 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.006 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.006 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 4.006 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.006 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.006 * [taylor]: Taking taylor expansion of re in im 4.006 * [backup-simplify]: Simplify re into re 4.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.006 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.006 * [taylor]: Taking taylor expansion of re in im 4.006 * [backup-simplify]: Simplify re into re 4.006 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.006 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.006 * [taylor]: Taking taylor expansion of im in im 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (* 1 1) into 1 4.007 * [backup-simplify]: Simplify (/ 1 1) into 1 4.007 * [backup-simplify]: Simplify (+ 0 1) into 1 4.008 * [backup-simplify]: Simplify (sqrt 1) into 1 4.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.009 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.011 * [backup-simplify]: Simplify (+ 0 1) into 1 4.011 * [backup-simplify]: Simplify (/ 1 1) into 1 4.011 * [backup-simplify]: Simplify (sqrt 0) into 0 4.013 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.013 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 4.013 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 4.013 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.013 * [taylor]: Taking taylor expansion of 2.0 in im 4.013 * [backup-simplify]: Simplify 2.0 into 2.0 4.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.014 * [taylor]: Taking taylor expansion of im in im 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.015 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 4.015 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.015 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.015 * [taylor]: Taking taylor expansion of re in im 4.015 * [backup-simplify]: Simplify re into re 4.015 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.015 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.015 * [taylor]: Taking taylor expansion of re in im 4.015 * [backup-simplify]: Simplify re into re 4.015 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.015 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.016 * [taylor]: Taking taylor expansion of im in im 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [backup-simplify]: Simplify (* 1 1) into 1 4.017 * [backup-simplify]: Simplify (/ 1 1) into 1 4.017 * [backup-simplify]: Simplify (+ 0 1) into 1 4.017 * [backup-simplify]: Simplify (sqrt 1) into 1 4.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.020 * [backup-simplify]: Simplify (+ 0 1) into 1 4.021 * [backup-simplify]: Simplify (/ 1 1) into 1 4.021 * [backup-simplify]: Simplify (sqrt 0) into 0 4.022 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.023 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.023 * [taylor]: Taking taylor expansion of 0 in re 4.023 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.026 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 4.026 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.026 * [taylor]: Taking taylor expansion of +nan.0 in re 4.026 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.026 * [taylor]: Taking taylor expansion of 2.0 in re 4.026 * [backup-simplify]: Simplify 2.0 into 2.0 4.027 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.029 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.030 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.032 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 4.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 4.033 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 4.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 4.040 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 4.040 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 4.040 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.040 * [taylor]: Taking taylor expansion of +nan.0 in re 4.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.040 * [taylor]: Taking taylor expansion of 2.0 in re 4.040 * [backup-simplify]: Simplify 2.0 into 2.0 4.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.041 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 4.041 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.041 * [taylor]: Taking taylor expansion of +nan.0 in re 4.041 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.041 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.041 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.041 * [taylor]: Taking taylor expansion of 2.0 in re 4.041 * [backup-simplify]: Simplify 2.0 into 2.0 4.042 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.043 * [taylor]: Taking taylor expansion of re in re 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.044 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.050 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.052 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.053 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 4.056 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 4.056 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 4.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 4.058 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 4.059 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 4.062 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 4.062 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 4.062 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 4.062 * [taylor]: Taking taylor expansion of +nan.0 in re 4.062 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.062 * [taylor]: Taking taylor expansion of 2.0 in re 4.062 * [backup-simplify]: Simplify 2.0 into 2.0 4.063 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.063 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 4.063 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 4.063 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 4.063 * [taylor]: Taking taylor expansion of +nan.0 in re 4.063 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.064 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 4.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.064 * [taylor]: Taking taylor expansion of 2.0 in re 4.064 * [backup-simplify]: Simplify 2.0 into 2.0 4.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.065 * [taylor]: Taking taylor expansion of re in re 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.066 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 4.066 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 4.066 * [taylor]: Taking taylor expansion of +nan.0 in re 4.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.066 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 4.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.066 * [taylor]: Taking taylor expansion of 2.0 in re 4.066 * [backup-simplify]: Simplify 2.0 into 2.0 4.067 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.067 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.067 * [taylor]: Taking taylor expansion of re in re 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.068 * [backup-simplify]: Simplify (* 1 1) into 1 4.069 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.069 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.077 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.080 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.082 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.083 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.088 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 4.088 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 4.088 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 4.088 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 4.089 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 4.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.089 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.089 * [taylor]: Taking taylor expansion of im in im 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.089 * [taylor]: Taking taylor expansion of re in im 4.089 * [backup-simplify]: Simplify re into re 4.089 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.089 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 4.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.090 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.090 * [taylor]: Taking taylor expansion of im in re 4.090 * [backup-simplify]: Simplify im into im 4.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.090 * [taylor]: Taking taylor expansion of re in re 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.090 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.091 * [backup-simplify]: Simplify (+ 0 0) into 0 4.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 4.091 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.091 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.091 * [taylor]: Taking taylor expansion of im in re 4.091 * [backup-simplify]: Simplify im into im 4.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.091 * [taylor]: Taking taylor expansion of re in re 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.091 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.091 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.091 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.092 * [backup-simplify]: Simplify (+ 0 0) into 0 4.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.092 * [taylor]: Taking taylor expansion of re in re 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 1 into 1 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify (+ im 0) into im 4.093 * [taylor]: Taking taylor expansion of im in im 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (- 1) into -1 4.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.093 * [taylor]: Taking taylor expansion of -1 in im 4.093 * [backup-simplify]: Simplify -1 into -1 4.094 * [backup-simplify]: Simplify -1 into -1 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.095 * [backup-simplify]: Simplify (+ 0 1) into 1 4.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.096 * [backup-simplify]: Simplify (- 0) into 0 4.096 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.096 * [taylor]: Taking taylor expansion of 1/2 in im 4.096 * [backup-simplify]: Simplify 1/2 into 1/2 4.096 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.096 * [taylor]: Taking taylor expansion of im in im 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.101 * [backup-simplify]: Simplify (- 0) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [taylor]: Taking taylor expansion of 0 in im 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 4.104 * [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)) 4.104 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 4.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 4.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.104 * [taylor]: Taking taylor expansion of re in im 4.104 * [backup-simplify]: Simplify re into re 4.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.104 * [taylor]: Taking taylor expansion of im in im 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 1 into 1 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [backup-simplify]: Simplify (+ 0 1) into 1 4.106 * [backup-simplify]: Simplify (sqrt 1) into 1 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ 0 0) into 0 4.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.108 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.109 * [taylor]: Taking taylor expansion of re in im 4.109 * [backup-simplify]: Simplify re into re 4.109 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.109 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.109 * [taylor]: Taking taylor expansion of re in re 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.110 * [taylor]: Taking taylor expansion of im in re 4.110 * [backup-simplify]: Simplify im into im 4.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.110 * [backup-simplify]: Simplify (+ 1 0) into 1 4.111 * [backup-simplify]: Simplify (sqrt 1) into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.113 * [taylor]: Taking taylor expansion of re in re 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 4.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.114 * [taylor]: Taking taylor expansion of re in re 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.115 * [taylor]: Taking taylor expansion of im in re 4.115 * [backup-simplify]: Simplify im into im 4.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.115 * [backup-simplify]: Simplify (+ 1 0) into 1 4.116 * [backup-simplify]: Simplify (sqrt 1) into 1 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.118 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.118 * [taylor]: Taking taylor expansion of re in re 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (/ 1 1) into 1 4.119 * [backup-simplify]: Simplify (- 1) into -1 4.119 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.120 * [taylor]: Taking taylor expansion of 0 in im 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [taylor]: Taking taylor expansion of 0 in im 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.123 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- 0) into 0 4.124 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.124 * [taylor]: Taking taylor expansion of 1/2 in im 4.124 * [backup-simplify]: Simplify 1/2 into 1/2 4.124 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.124 * [taylor]: Taking taylor expansion of im in im 4.124 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify 1 into 1 4.125 * [backup-simplify]: Simplify (* 1 1) into 1 4.125 * [backup-simplify]: Simplify (/ 1 1) into 1 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.128 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.128 * [backup-simplify]: Simplify (+ 0 0) into 0 4.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (- 0) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.129 * [taylor]: Taking taylor expansion of 0 in im 4.129 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [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))))) 4.131 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.131 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.131 * [taylor]: Taking taylor expansion of re in im 4.131 * [backup-simplify]: Simplify re into re 4.131 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.131 * [taylor]: Taking taylor expansion of re in im 4.131 * [backup-simplify]: Simplify re into re 4.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.132 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.132 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.132 * [taylor]: Taking taylor expansion of im in im 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 1 into 1 4.132 * [backup-simplify]: Simplify (* 1 1) into 1 4.132 * [backup-simplify]: Simplify (/ 1 1) into 1 4.132 * [backup-simplify]: Simplify (+ 0 1) into 1 4.133 * [backup-simplify]: Simplify (sqrt 1) into 1 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ 0 0) into 0 4.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.134 * [taylor]: Taking taylor expansion of re in re 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ 1 1) into 1 4.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.134 * [taylor]: Taking taylor expansion of re in re 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (* 1 1) into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.135 * [taylor]: Taking taylor expansion of im in re 4.135 * [backup-simplify]: Simplify im into im 4.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.135 * [backup-simplify]: Simplify (+ 1 0) into 1 4.136 * [backup-simplify]: Simplify (sqrt 1) into 1 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ 0 0) into 0 4.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.137 * [taylor]: Taking taylor expansion of re in re 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify 1 into 1 4.137 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.138 * [taylor]: Taking taylor expansion of re in re 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 1 into 1 4.138 * [backup-simplify]: Simplify (* 1 1) into 1 4.138 * [backup-simplify]: Simplify (/ 1 1) into 1 4.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.138 * [taylor]: Taking taylor expansion of im in re 4.138 * [backup-simplify]: Simplify im into im 4.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.138 * [backup-simplify]: Simplify (+ 1 0) into 1 4.139 * [backup-simplify]: Simplify (sqrt 1) into 1 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.141 * [backup-simplify]: Simplify (+ 1 1) into 2 4.141 * [taylor]: Taking taylor expansion of 2 in im 4.141 * [backup-simplify]: Simplify 2 into 2 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [taylor]: Taking taylor expansion of 0 in im 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 2 into 2 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.144 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.144 * [taylor]: Taking taylor expansion of 1/2 in im 4.144 * [backup-simplify]: Simplify 1/2 into 1/2 4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.144 * [taylor]: Taking taylor expansion of im in im 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.148 * [backup-simplify]: Simplify (+ 0 0) into 0 4.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [taylor]: Taking taylor expansion of 0 in im 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 4.151 * * * [progress]: simplifying candidates 4.151 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 4.151 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 4.152 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 4.152 * * [simplify]: iters left: 6 (8 enodes) 4.155 * * [simplify]: iters left: 5 (26 enodes) 4.162 * * [simplify]: Extracting #0: cost 1 inf + 0 4.162 * * [simplify]: Extracting #1: cost 4 inf + 0 4.162 * * [simplify]: Extracting #2: cost 7 inf + 0 4.162 * * [simplify]: Extracting #3: cost 10 inf + 0 4.162 * * [simplify]: Extracting #4: cost 14 inf + 0 4.162 * * [simplify]: Extracting #5: cost 10 inf + 84 4.162 * * [simplify]: Extracting #6: cost 8 inf + 166 4.162 * * [simplify]: Extracting #7: cost 4 inf + 854 4.163 * * [simplify]: Extracting #8: cost 1 inf + 1540 4.163 * * [simplify]: Extracting #9: cost 0 inf + 1782 4.164 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 4.164 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 4.164 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 4.165 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 4.165 * * [simplify]: iters left: 6 (7 enodes) 4.168 * * [simplify]: iters left: 5 (22 enodes) 4.173 * * [simplify]: Extracting #0: cost 1 inf + 0 4.173 * * [simplify]: Extracting #1: cost 3 inf + 0 4.173 * * [simplify]: Extracting #2: cost 5 inf + 0 4.173 * * [simplify]: Extracting #3: cost 8 inf + 0 4.174 * * [simplify]: Extracting #4: cost 12 inf + 0 4.174 * * [simplify]: Extracting #5: cost 10 inf + 2 4.177 * * [simplify]: Extracting #6: cost 1 inf + 936 4.177 * * [simplify]: Extracting #7: cost 0 inf + 1138 4.178 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 4.178 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 4.178 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 4.178 * [simplify]: Simplifying (sqrt 1) 4.178 * * [simplify]: iters left: 1 (2 enodes) 4.182 * * [simplify]: Extracting #0: cost 1 inf + 0 4.182 * * [simplify]: Extracting #1: cost 0 inf + 1 4.182 * [simplify]: Simplified to 1 4.182 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 4.182 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 4.182 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 4.182 * * [simplify]: iters left: 6 (9 enodes) 4.188 * * [simplify]: iters left: 5 (45 enodes) 4.208 * * [simplify]: iters left: 4 (100 enodes) 4.233 * * [simplify]: iters left: 3 (201 enodes) 4.312 * * [simplify]: iters left: 2 (406 enodes) 4.504 * * [simplify]: Extracting #0: cost 1 inf + 0 4.504 * * [simplify]: Extracting #1: cost 3 inf + 0 4.504 * * [simplify]: Extracting #2: cost 6 inf + 0 4.504 * * [simplify]: Extracting #3: cost 62 inf + 0 4.505 * * [simplify]: Extracting #4: cost 166 inf + 460 4.508 * * [simplify]: Extracting #5: cost 131 inf + 12951 4.515 * * [simplify]: Extracting #6: cost 49 inf + 45746 4.526 * * [simplify]: Extracting #7: cost 1 inf + 66256 4.536 * * [simplify]: Extracting #8: cost 0 inf + 65919 4.547 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 4.547 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 4.548 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 4.548 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.548 * * [simplify]: iters left: 6 (8 enodes) 4.557 * * [simplify]: iters left: 5 (37 enodes) 4.570 * * [simplify]: iters left: 4 (67 enodes) 4.593 * * [simplify]: iters left: 3 (123 enodes) 4.625 * * [simplify]: iters left: 2 (278 enodes) 4.764 * * [simplify]: Extracting #0: cost 1 inf + 0 4.765 * * [simplify]: Extracting #1: cost 3 inf + 0 4.765 * * [simplify]: Extracting #2: cost 50 inf + 0 4.766 * * [simplify]: Extracting #3: cost 150 inf + 0 4.767 * * [simplify]: Extracting #4: cost 194 inf + 1180 4.772 * * [simplify]: Extracting #5: cost 123 inf + 12421 4.784 * * [simplify]: Extracting #6: cost 12 inf + 33804 4.798 * * [simplify]: Extracting #7: cost 0 inf + 36129 4.812 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 4.812 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 4.812 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 4.813 * [simplify]: Simplifying (+ (* re re) (* im im)) 4.813 * * [simplify]: iters left: 4 (5 enodes) 4.815 * * [simplify]: iters left: 3 (16 enodes) 4.819 * * [simplify]: Extracting #0: cost 1 inf + 0 4.819 * * [simplify]: Extracting #1: cost 4 inf + 0 4.819 * * [simplify]: Extracting #2: cost 8 inf + 0 4.819 * * [simplify]: Extracting #3: cost 4 inf + 84 4.820 * * [simplify]: Extracting #4: cost 0 inf + 410 4.820 * [simplify]: Simplified to (+ (* re re) (* im im)) 4.820 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 4.820 * * * * [progress]: [ 13 / 122 ] simplifiying candidate # 4.820 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 4.820 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 4.820 * * [simplify]: iters left: 5 (6 enodes) 4.823 * * [simplify]: iters left: 4 (19 enodes) 4.828 * * [simplify]: Extracting #0: cost 1 inf + 0 4.828 * * [simplify]: Extracting #1: cost 3 inf + 0 4.828 * * [simplify]: Extracting #2: cost 6 inf + 0 4.828 * * [simplify]: Extracting #3: cost 10 inf + 0 4.828 * * [simplify]: Extracting #4: cost 6 inf + 84 4.828 * * [simplify]: Extracting #5: cost 0 inf + 734 4.829 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 4.829 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 4.829 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 16 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 4.829 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 4.829 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 4.830 * [simplify]: Simplifying (sqrt 2.0) 4.830 * * [simplify]: iters left: 1 (2 enodes) 4.832 * * [simplify]: Extracting #0: cost 1 inf + 0 4.832 * * [simplify]: Extracting #1: cost 3 inf + 0 4.832 * * [simplify]: Extracting #2: cost 2 inf + 1 4.832 * * [simplify]: Extracting #3: cost 0 inf + 83 4.832 * [simplify]: Simplified to (sqrt 2.0) 4.832 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.832 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 4.832 * [simplify]: Simplifying (* 2.0 (* im im)) 4.832 * * [simplify]: iters left: 4 (4 enodes) 4.835 * * [simplify]: iters left: 3 (15 enodes) 4.840 * * [simplify]: iters left: 2 (19 enodes) 4.845 * * [simplify]: Extracting #0: cost 1 inf + 0 4.845 * * [simplify]: Extracting #1: cost 6 inf + 0 4.846 * * [simplify]: Extracting #2: cost 5 inf + 43 4.846 * * [simplify]: Extracting #3: cost 0 inf + 332 4.846 * [simplify]: Simplified to (* 2.0 (* im im)) 4.846 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.846 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 4.846 * [simplify]: Simplifying (* 2.0 (* im im)) 4.847 * * [simplify]: iters left: 4 (4 enodes) 4.849 * * [simplify]: iters left: 3 (15 enodes) 4.854 * * [simplify]: iters left: 2 (19 enodes) 4.859 * * [simplify]: Extracting #0: cost 1 inf + 0 4.859 * * [simplify]: Extracting #1: cost 6 inf + 0 4.859 * * [simplify]: Extracting #2: cost 5 inf + 43 4.860 * * [simplify]: Extracting #3: cost 0 inf + 332 4.860 * [simplify]: Simplified to (* 2.0 (* im im)) 4.860 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.860 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 4.860 * [simplify]: Simplifying (* 2.0 (* im im)) 4.860 * * [simplify]: iters left: 4 (4 enodes) 4.863 * * [simplify]: iters left: 3 (15 enodes) 4.868 * * [simplify]: iters left: 2 (19 enodes) 4.873 * * [simplify]: Extracting #0: cost 1 inf + 0 4.873 * * [simplify]: Extracting #1: cost 6 inf + 0 4.873 * * [simplify]: Extracting #2: cost 5 inf + 43 4.873 * * [simplify]: Extracting #3: cost 0 inf + 332 4.873 * [simplify]: Simplified to (* 2.0 (* im im)) 4.874 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (/ (pow (* 2.0 (* im im)) (/ 1 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 4.874 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 4.874 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 4.874 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 4.874 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 4.874 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 4.874 * [simplify]: Simplifying (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.874 * * [simplify]: iters left: 6 (14 enodes) 4.881 * * [simplify]: iters left: 5 (50 enodes) 4.895 * * [simplify]: iters left: 4 (60 enodes) 4.903 * * [simplify]: Extracting #0: cost 1 inf + 0 4.903 * * [simplify]: Extracting #1: cost 5 inf + 0 4.904 * * [simplify]: Extracting #2: cost 10 inf + 0 4.904 * * [simplify]: Extracting #3: cost 14 inf + 0 4.904 * * [simplify]: Extracting #4: cost 23 inf + 0 4.904 * * [simplify]: Extracting #5: cost 24 inf + 44 4.905 * * [simplify]: Extracting #6: cost 17 inf + 729 4.905 * * [simplify]: Extracting #7: cost 13 inf + 1368 4.905 * * [simplify]: Extracting #8: cost 4 inf + 3396 4.906 * * [simplify]: Extracting #9: cost 0 inf + 4915 4.907 * [simplify]: Simplified to (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.907 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (- (log (sqrt (* 2.0 (* im im)))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 4.907 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 4.907 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 4.907 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 4.907 * [simplify]: Simplifying (/ (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 4.907 * * [simplify]: iters left: 6 (16 enodes) 4.912 * * [simplify]: iters left: 5 (59 enodes) 4.922 * * [simplify]: iters left: 4 (145 enodes) 4.988 * * [simplify]: iters left: 3 (477 enodes) 5.286 * * [simplify]: Extracting #0: cost 1 inf + 0 5.286 * * [simplify]: Extracting #1: cost 139 inf + 0 5.288 * * [simplify]: Extracting #2: cost 309 inf + 168 5.291 * * [simplify]: Extracting #3: cost 339 inf + 1766 5.293 * * [simplify]: Extracting #4: cost 313 inf + 5320 5.297 * * [simplify]: Extracting #5: cost 307 inf + 6547 5.300 * * [simplify]: Extracting #6: cost 286 inf + 12012 5.310 * * [simplify]: Extracting #7: cost 173 inf + 51082 5.349 * * [simplify]: Extracting #8: cost 31 inf + 108716 5.386 * * [simplify]: Extracting #9: cost 0 inf + 122824 5.418 * [simplify]: Simplified to (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.418 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (/ (* (sqrt (* 2.0 (* im im))) (* 2.0 (* im im))) (* (- (sqrt (+ (* re re) (* im im))) re) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.418 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 5.418 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 5.418 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 5.418 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 5.419 * * [simplify]: iters left: 6 (10 enodes) 5.424 * * [simplify]: iters left: 5 (38 enodes) 5.437 * * [simplify]: iters left: 4 (57 enodes) 5.454 * * [simplify]: iters left: 3 (84 enodes) 5.479 * * [simplify]: iters left: 2 (124 enodes) 5.500 * * [simplify]: iters left: 1 (145 enodes) 5.518 * * [simplify]: Extracting #0: cost 1 inf + 0 5.518 * * [simplify]: Extracting #1: cost 16 inf + 0 5.519 * * [simplify]: Extracting #2: cost 40 inf + 2 5.519 * * [simplify]: Extracting #3: cost 46 inf + 375 5.519 * * [simplify]: Extracting #4: cost 36 inf + 1320 5.520 * * [simplify]: Extracting #5: cost 23 inf + 3790 5.522 * * [simplify]: Extracting #6: cost 0 inf + 8845 5.525 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 5.525 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 5.525 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 5.525 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 5.525 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 5.526 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.526 * * [simplify]: iters left: 6 (16 enodes) 5.533 * * [simplify]: iters left: 5 (60 enodes) 5.551 * * [simplify]: iters left: 4 (82 enodes) 5.563 * * [simplify]: iters left: 3 (89 enodes) 5.574 * * [simplify]: iters left: 2 (92 enodes) 5.590 * * [simplify]: Extracting #0: cost 1 inf + 0 5.590 * * [simplify]: Extracting #1: cost 11 inf + 0 5.590 * * [simplify]: Extracting #2: cost 22 inf + 0 5.590 * * [simplify]: Extracting #3: cost 26 inf + 0 5.591 * * [simplify]: Extracting #4: cost 35 inf + 0 5.591 * * [simplify]: Extracting #5: cost 37 inf + 3 5.591 * * [simplify]: Extracting #6: cost 29 inf + 739 5.592 * * [simplify]: Extracting #7: cost 25 inf + 1588 5.592 * * [simplify]: Extracting #8: cost 23 inf + 1751 5.594 * * [simplify]: Extracting #9: cost 16 inf + 3165 5.597 * * [simplify]: Extracting #10: cost 1 inf + 10566 5.601 * * [simplify]: Extracting #11: cost 0 inf + 11049 5.604 * [simplify]: Simplified to (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.604 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.605 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.605 * * [simplify]: iters left: 6 (14 enodes) 5.611 * * [simplify]: iters left: 5 (48 enodes) 5.619 * * [simplify]: iters left: 4 (55 enodes) 5.627 * * [simplify]: Extracting #0: cost 1 inf + 0 5.627 * * [simplify]: Extracting #1: cost 4 inf + 0 5.627 * * [simplify]: Extracting #2: cost 8 inf + 0 5.627 * * [simplify]: Extracting #3: cost 12 inf + 0 5.627 * * [simplify]: Extracting #4: cost 21 inf + 0 5.627 * * [simplify]: Extracting #5: cost 22 inf + 44 5.627 * * [simplify]: Extracting #6: cost 14 inf + 861 5.628 * * [simplify]: Extracting #7: cost 10 inf + 1510 5.628 * * [simplify]: Extracting #8: cost 2 inf + 3526 5.629 * * [simplify]: Extracting #9: cost 0 inf + 4291 5.629 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.629 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.630 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 5.630 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 5.630 * * [simplify]: iters left: 6 (16 enodes) 5.634 * * [simplify]: iters left: 5 (57 enodes) 5.643 * * [simplify]: iters left: 4 (68 enodes) 5.661 * * [simplify]: iters left: 3 (71 enodes) 5.680 * * [simplify]: Extracting #0: cost 1 inf + 0 5.680 * * [simplify]: Extracting #1: cost 7 inf + 0 5.680 * * [simplify]: Extracting #2: cost 15 inf + 0 5.680 * * [simplify]: Extracting #3: cost 20 inf + 0 5.680 * * [simplify]: Extracting #4: cost 29 inf + 0 5.680 * * [simplify]: Extracting #5: cost 30 inf + 44 5.681 * * [simplify]: Extracting #6: cost 22 inf + 861 5.681 * * [simplify]: Extracting #7: cost 18 inf + 1710 5.682 * * [simplify]: Extracting #8: cost 10 inf + 3205 5.684 * * [simplify]: Extracting #9: cost 3 inf + 6102 5.686 * * [simplify]: Extracting #10: cost 0 inf + 7671 5.688 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.688 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.689 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.689 * * [simplify]: iters left: 6 (14 enodes) 5.695 * * [simplify]: iters left: 5 (48 enodes) 5.709 * * [simplify]: iters left: 4 (55 enodes) 5.724 * * [simplify]: Extracting #0: cost 1 inf + 0 5.724 * * [simplify]: Extracting #1: cost 4 inf + 0 5.724 * * [simplify]: Extracting #2: cost 8 inf + 0 5.724 * * [simplify]: Extracting #3: cost 12 inf + 0 5.724 * * [simplify]: Extracting #4: cost 21 inf + 0 5.724 * * [simplify]: Extracting #5: cost 22 inf + 44 5.724 * * [simplify]: Extracting #6: cost 14 inf + 861 5.725 * * [simplify]: Extracting #7: cost 10 inf + 1510 5.726 * * [simplify]: Extracting #8: cost 2 inf + 3566 5.727 * * [simplify]: Extracting #9: cost 0 inf + 4371 5.728 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.728 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.729 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 5.729 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.729 * * [simplify]: iters left: 6 (15 enodes) 5.736 * * [simplify]: iters left: 5 (53 enodes) 5.752 * * [simplify]: iters left: 4 (64 enodes) 5.770 * * [simplify]: iters left: 3 (67 enodes) 5.783 * * [simplify]: Extracting #0: cost 1 inf + 0 5.783 * * [simplify]: Extracting #1: cost 7 inf + 0 5.783 * * [simplify]: Extracting #2: cost 14 inf + 0 5.783 * * [simplify]: Extracting #3: cost 18 inf + 0 5.783 * * [simplify]: Extracting #4: cost 27 inf + 0 5.783 * * [simplify]: Extracting #5: cost 29 inf + 3 5.783 * * [simplify]: Extracting #6: cost 20 inf + 941 5.784 * * [simplify]: Extracting #7: cost 15 inf + 1832 5.784 * * [simplify]: Extracting #8: cost 7 inf + 3407 5.785 * * [simplify]: Extracting #9: cost 2 inf + 5661 5.786 * * [simplify]: Extracting #10: cost 0 inf + 6627 5.787 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.787 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.787 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.787 * * [simplify]: iters left: 6 (14 enodes) 5.791 * * [simplify]: iters left: 5 (48 enodes) 5.798 * * [simplify]: iters left: 4 (55 enodes) 5.806 * * [simplify]: Extracting #0: cost 1 inf + 0 5.806 * * [simplify]: Extracting #1: cost 4 inf + 0 5.806 * * [simplify]: Extracting #2: cost 8 inf + 0 5.806 * * [simplify]: Extracting #3: cost 12 inf + 0 5.806 * * [simplify]: Extracting #4: cost 21 inf + 0 5.807 * * [simplify]: Extracting #5: cost 22 inf + 44 5.807 * * [simplify]: Extracting #6: cost 14 inf + 861 5.808 * * [simplify]: Extracting #7: cost 10 inf + 1510 5.809 * * [simplify]: Extracting #8: cost 2 inf + 3406 5.810 * * [simplify]: Extracting #9: cost 0 inf + 4131 5.811 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 5.811 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 5.811 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 5.812 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 5.812 * * [simplify]: iters left: 6 (10 enodes) 5.818 * * [simplify]: iters left: 5 (37 enodes) 5.824 * * [simplify]: iters left: 4 (47 enodes) 5.831 * * [simplify]: iters left: 3 (51 enodes) 5.838 * * [simplify]: iters left: 2 (52 enodes) 5.844 * * [simplify]: Extracting #0: cost 1 inf + 0 5.844 * * [simplify]: Extracting #1: cost 5 inf + 0 5.844 * * [simplify]: Extracting #2: cost 7 inf + 1 5.844 * * [simplify]: Extracting #3: cost 9 inf + 1 5.844 * * [simplify]: Extracting #4: cost 14 inf + 1 5.844 * * [simplify]: Extracting #5: cost 14 inf + 3 5.845 * * [simplify]: Extracting #6: cost 8 inf + 333 5.845 * * [simplify]: Extracting #7: cost 3 inf + 1223 5.845 * * [simplify]: Extracting #8: cost 0 inf + 1951 5.845 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 5.846 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.846 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.846 * * [simplify]: iters left: 6 (13 enodes) 5.849 * * [simplify]: iters left: 5 (45 enodes) 5.861 * * [simplify]: iters left: 4 (52 enodes) 5.870 * * [simplify]: Extracting #0: cost 1 inf + 0 5.870 * * [simplify]: Extracting #1: cost 4 inf + 0 5.870 * * [simplify]: Extracting #2: cost 8 inf + 0 5.870 * * [simplify]: Extracting #3: cost 14 inf + 0 5.870 * * [simplify]: Extracting #4: cost 20 inf + 42 5.871 * * [simplify]: Extracting #5: cost 21 inf + 85 5.871 * * [simplify]: Extracting #6: cost 13 inf + 940 5.871 * * [simplify]: Extracting #7: cost 1 inf + 3044 5.872 * * [simplify]: Extracting #8: cost 0 inf + 3487 5.872 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 5.872 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 5.872 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 5.873 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.873 * * [simplify]: iters left: 6 (16 enodes) 5.876 * * [simplify]: iters left: 5 (55 enodes) 5.885 * * [simplify]: iters left: 4 (63 enodes) 5.893 * * [simplify]: iters left: 3 (66 enodes) 5.903 * * [simplify]: Extracting #0: cost 1 inf + 0 5.903 * * [simplify]: Extracting #1: cost 7 inf + 0 5.904 * * [simplify]: Extracting #2: cost 14 inf + 0 5.904 * * [simplify]: Extracting #3: cost 19 inf + 0 5.904 * * [simplify]: Extracting #4: cost 28 inf + 0 5.904 * * [simplify]: Extracting #5: cost 28 inf + 44 5.904 * * [simplify]: Extracting #6: cost 23 inf + 615 5.905 * * [simplify]: Extracting #7: cost 16 inf + 1710 5.906 * * [simplify]: Extracting #8: cost 10 inf + 2681 5.907 * * [simplify]: Extracting #9: cost 3 inf + 5418 5.909 * * [simplify]: Extracting #10: cost 0 inf + 7027 5.912 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 5.912 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.912 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.912 * * [simplify]: iters left: 6 (15 enodes) 5.919 * * [simplify]: iters left: 5 (51 enodes) 5.926 * * [simplify]: iters left: 4 (58 enodes) 5.934 * * [simplify]: Extracting #0: cost 1 inf + 0 5.935 * * [simplify]: Extracting #1: cost 4 inf + 0 5.935 * * [simplify]: Extracting #2: cost 8 inf + 0 5.935 * * [simplify]: Extracting #3: cost 14 inf + 0 5.935 * * [simplify]: Extracting #4: cost 24 inf + 0 5.935 * * [simplify]: Extracting #5: cost 21 inf + 247 5.935 * * [simplify]: Extracting #6: cost 15 inf + 981 5.935 * * [simplify]: Extracting #7: cost 10 inf + 1672 5.936 * * [simplify]: Extracting #8: cost 3 inf + 3165 5.936 * * [simplify]: Extracting #9: cost 0 inf + 4533 5.937 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.937 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.937 * * * * [progress]: [ 45 / 122 ] simplifiying candidate # 5.937 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.938 * * [simplify]: iters left: 6 (16 enodes) 5.941 * * [simplify]: iters left: 5 (55 enodes) 5.952 * * [simplify]: iters left: 4 (63 enodes) 5.969 * * [simplify]: iters left: 3 (66 enodes) 5.978 * * [simplify]: Extracting #0: cost 1 inf + 0 5.978 * * [simplify]: Extracting #1: cost 7 inf + 0 5.978 * * [simplify]: Extracting #2: cost 14 inf + 0 5.978 * * [simplify]: Extracting #3: cost 19 inf + 0 5.978 * * [simplify]: Extracting #4: cost 28 inf + 0 5.978 * * [simplify]: Extracting #5: cost 28 inf + 44 5.978 * * [simplify]: Extracting #6: cost 23 inf + 615 5.979 * * [simplify]: Extracting #7: cost 16 inf + 1710 5.979 * * [simplify]: Extracting #8: cost 10 inf + 2681 5.980 * * [simplify]: Extracting #9: cost 3 inf + 5418 5.981 * * [simplify]: Extracting #10: cost 0 inf + 7027 5.982 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 5.982 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 5.982 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 5.983 * * [simplify]: iters left: 6 (15 enodes) 5.986 * * [simplify]: iters left: 5 (51 enodes) 5.993 * * [simplify]: iters left: 4 (58 enodes) 6.002 * * [simplify]: Extracting #0: cost 1 inf + 0 6.002 * * [simplify]: Extracting #1: cost 4 inf + 0 6.002 * * [simplify]: Extracting #2: cost 8 inf + 0 6.002 * * [simplify]: Extracting #3: cost 14 inf + 0 6.002 * * [simplify]: Extracting #4: cost 24 inf + 0 6.002 * * [simplify]: Extracting #5: cost 21 inf + 247 6.002 * * [simplify]: Extracting #6: cost 15 inf + 981 6.003 * * [simplify]: Extracting #7: cost 10 inf + 1672 6.003 * * [simplify]: Extracting #8: cost 3 inf + 3165 6.004 * * [simplify]: Extracting #9: cost 0 inf + 4533 6.005 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.005 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.005 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 6.005 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt 1)) 6.005 * * [simplify]: iters left: 6 (10 enodes) 6.009 * * [simplify]: iters left: 5 (37 enodes) 6.015 * * [simplify]: iters left: 4 (47 enodes) 6.022 * * [simplify]: iters left: 3 (51 enodes) 6.029 * * [simplify]: iters left: 2 (52 enodes) 6.037 * * [simplify]: Extracting #0: cost 1 inf + 0 6.037 * * [simplify]: Extracting #1: cost 5 inf + 0 6.037 * * [simplify]: Extracting #2: cost 7 inf + 1 6.037 * * [simplify]: Extracting #3: cost 9 inf + 1 6.037 * * [simplify]: Extracting #4: cost 14 inf + 1 6.038 * * [simplify]: Extracting #5: cost 14 inf + 3 6.038 * * [simplify]: Extracting #6: cost 8 inf + 333 6.038 * * [simplify]: Extracting #7: cost 3 inf + 1223 6.039 * * [simplify]: Extracting #8: cost 0 inf + 1951 6.040 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 6.040 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.040 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.040 * * [simplify]: iters left: 6 (13 enodes) 6.046 * * [simplify]: iters left: 5 (45 enodes) 6.062 * * [simplify]: iters left: 4 (52 enodes) 6.076 * * [simplify]: Extracting #0: cost 1 inf + 0 6.077 * * [simplify]: Extracting #1: cost 4 inf + 0 6.077 * * [simplify]: Extracting #2: cost 8 inf + 0 6.077 * * [simplify]: Extracting #3: cost 14 inf + 0 6.077 * * [simplify]: Extracting #4: cost 20 inf + 42 6.077 * * [simplify]: Extracting #5: cost 21 inf + 85 6.077 * * [simplify]: Extracting #6: cost 13 inf + 940 6.078 * * [simplify]: Extracting #7: cost 1 inf + 3044 6.079 * * [simplify]: Extracting #8: cost 0 inf + 3487 6.081 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.081 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.081 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 6.081 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.081 * * [simplify]: iters left: 6 (15 enodes) 6.089 * * [simplify]: iters left: 5 (53 enodes) 6.105 * * [simplify]: iters left: 4 (64 enodes) 6.123 * * [simplify]: iters left: 3 (67 enodes) 6.141 * * [simplify]: Extracting #0: cost 1 inf + 0 6.142 * * [simplify]: Extracting #1: cost 7 inf + 0 6.142 * * [simplify]: Extracting #2: cost 14 inf + 0 6.142 * * [simplify]: Extracting #3: cost 18 inf + 0 6.142 * * [simplify]: Extracting #4: cost 27 inf + 0 6.142 * * [simplify]: Extracting #5: cost 29 inf + 3 6.142 * * [simplify]: Extracting #6: cost 20 inf + 941 6.143 * * [simplify]: Extracting #7: cost 15 inf + 1832 6.144 * * [simplify]: Extracting #8: cost 7 inf + 3407 6.146 * * [simplify]: Extracting #9: cost 2 inf + 5661 6.148 * * [simplify]: Extracting #10: cost 0 inf + 6627 6.150 * [simplify]: Simplified to (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.150 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.151 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.151 * * [simplify]: iters left: 6 (14 enodes) 6.157 * * [simplify]: iters left: 5 (48 enodes) 6.171 * * [simplify]: iters left: 4 (55 enodes) 6.185 * * [simplify]: Extracting #0: cost 1 inf + 0 6.186 * * [simplify]: Extracting #1: cost 4 inf + 0 6.186 * * [simplify]: Extracting #2: cost 8 inf + 0 6.186 * * [simplify]: Extracting #3: cost 12 inf + 0 6.186 * * [simplify]: Extracting #4: cost 21 inf + 0 6.186 * * [simplify]: Extracting #5: cost 22 inf + 44 6.186 * * [simplify]: Extracting #6: cost 14 inf + 861 6.187 * * [simplify]: Extracting #7: cost 10 inf + 1510 6.188 * * [simplify]: Extracting #8: cost 2 inf + 3406 6.189 * * [simplify]: Extracting #9: cost 0 inf + 4131 6.190 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.190 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.190 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 6.191 * [simplify]: Simplifying (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 1) 6.191 * * [simplify]: iters left: 6 (9 enodes) 6.195 * * [simplify]: iters left: 5 (32 enodes) 6.201 * * [simplify]: iters left: 4 (46 enodes) 6.209 * * [simplify]: iters left: 3 (47 enodes) 6.215 * * [simplify]: Extracting #0: cost 1 inf + 0 6.215 * * [simplify]: Extracting #1: cost 5 inf + 0 6.215 * * [simplify]: Extracting #2: cost 7 inf + 1 6.215 * * [simplify]: Extracting #3: cost 9 inf + 1 6.215 * * [simplify]: Extracting #4: cost 14 inf + 1 6.215 * * [simplify]: Extracting #5: cost 14 inf + 3 6.215 * * [simplify]: Extracting #6: cost 11 inf + 168 6.215 * * [simplify]: Extracting #7: cost 4 inf + 1022 6.216 * * [simplify]: Extracting #8: cost 0 inf + 1951 6.216 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 6.216 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.216 * [simplify]: Simplifying (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.216 * * [simplify]: iters left: 6 (13 enodes) 6.220 * * [simplify]: iters left: 5 (45 enodes) 6.233 * * [simplify]: iters left: 4 (52 enodes) 6.241 * * [simplify]: Extracting #0: cost 1 inf + 0 6.241 * * [simplify]: Extracting #1: cost 4 inf + 0 6.241 * * [simplify]: Extracting #2: cost 8 inf + 0 6.241 * * [simplify]: Extracting #3: cost 14 inf + 0 6.241 * * [simplify]: Extracting #4: cost 20 inf + 42 6.241 * * [simplify]: Extracting #5: cost 21 inf + 85 6.241 * * [simplify]: Extracting #6: cost 13 inf + 940 6.242 * * [simplify]: Extracting #7: cost 1 inf + 3044 6.242 * * [simplify]: Extracting #8: cost 0 inf + 3487 6.243 * [simplify]: Simplified to (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.243 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (cbrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.243 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 6.243 * [simplify]: Simplifying (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.243 * * [simplify]: iters left: 6 (13 enodes) 6.246 * * [simplify]: iters left: 5 (44 enodes) 6.253 * * [simplify]: iters left: 4 (49 enodes) 6.260 * * [simplify]: Extracting #0: cost 1 inf + 0 6.260 * * [simplify]: Extracting #1: cost 6 inf + 0 6.260 * * [simplify]: Extracting #2: cost 12 inf + 0 6.260 * * [simplify]: Extracting #3: cost 13 inf + 1 6.260 * * [simplify]: Extracting #4: cost 16 inf + 42 6.260 * * [simplify]: Extracting #5: cost 16 inf + 125 6.260 * * [simplify]: Extracting #6: cost 18 inf + 166 6.261 * * [simplify]: Extracting #7: cost 20 inf + 207 6.261 * * [simplify]: Extracting #8: cost 17 inf + 290 6.261 * * [simplify]: Extracting #9: cost 10 inf + 1343 6.261 * * [simplify]: Extracting #10: cost 2 inf + 4001 6.263 * * [simplify]: Extracting #11: cost 0 inf + 4847 6.264 * [simplify]: Simplified to (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.264 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.265 * [simplify]: Simplifying (/ (sqrt (* im im)) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.265 * * [simplify]: iters left: 6 (11 enodes) 6.269 * * [simplify]: iters left: 5 (37 enodes) 6.279 * * [simplify]: iters left: 4 (40 enodes) 6.290 * * [simplify]: Extracting #0: cost 1 inf + 0 6.290 * * [simplify]: Extracting #1: cost 4 inf + 0 6.290 * * [simplify]: Extracting #2: cost 9 inf + 0 6.290 * * [simplify]: Extracting #3: cost 11 inf + 1 6.290 * * [simplify]: Extracting #4: cost 11 inf + 165 6.290 * * [simplify]: Extracting #5: cost 13 inf + 166 6.290 * * [simplify]: Extracting #6: cost 13 inf + 248 6.291 * * [simplify]: Extracting #7: cost 11 inf + 533 6.291 * * [simplify]: Extracting #8: cost 6 inf + 1302 6.292 * * [simplify]: Extracting #9: cost 2 inf + 2430 6.293 * * [simplify]: Extracting #10: cost 1 inf + 2832 6.294 * * [simplify]: Extracting #11: cost 0 inf + 3234 6.294 * [simplify]: Simplified to (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.294 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (fabs im) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 6.294 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 6.295 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.295 * * [simplify]: iters left: 6 (13 enodes) 6.298 * * [simplify]: iters left: 5 (43 enodes) 6.307 * * [simplify]: iters left: 4 (46 enodes) 6.313 * * [simplify]: Extracting #0: cost 1 inf + 0 6.314 * * [simplify]: Extracting #1: cost 4 inf + 0 6.314 * * [simplify]: Extracting #2: cost 9 inf + 0 6.314 * * [simplify]: Extracting #3: cost 11 inf + 1 6.314 * * [simplify]: Extracting #4: cost 13 inf + 83 6.314 * * [simplify]: Extracting #5: cost 14 inf + 125 6.314 * * [simplify]: Extracting #6: cost 16 inf + 166 6.314 * * [simplify]: Extracting #7: cost 18 inf + 207 6.314 * * [simplify]: Extracting #8: cost 14 inf + 331 6.314 * * [simplify]: Extracting #9: cost 8 inf + 1383 6.315 * * [simplify]: Extracting #10: cost 1 inf + 3558 6.315 * * [simplify]: Extracting #11: cost 0 inf + 3961 6.316 * [simplify]: Simplified to (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.316 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.316 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.316 * * [simplify]: iters left: 6 (11 enodes) 6.319 * * [simplify]: iters left: 5 (37 enodes) 6.325 * * [simplify]: iters left: 4 (40 enodes) 6.335 * * [simplify]: Extracting #0: cost 1 inf + 0 6.335 * * [simplify]: Extracting #1: cost 4 inf + 0 6.335 * * [simplify]: Extracting #2: cost 9 inf + 0 6.335 * * [simplify]: Extracting #3: cost 11 inf + 1 6.335 * * [simplify]: Extracting #4: cost 11 inf + 165 6.335 * * [simplify]: Extracting #5: cost 13 inf + 166 6.335 * * [simplify]: Extracting #6: cost 13 inf + 248 6.336 * * [simplify]: Extracting #7: cost 11 inf + 533 6.336 * * [simplify]: Extracting #8: cost 6 inf + 1302 6.337 * * [simplify]: Extracting #9: cost 2 inf + 2510 6.338 * * [simplify]: Extracting #10: cost 1 inf + 2912 6.338 * * [simplify]: Extracting #11: cost 0 inf + 3314 6.339 * [simplify]: Simplified to (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.339 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 6.339 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 6.339 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.339 * * [simplify]: iters left: 6 (12 enodes) 6.342 * * [simplify]: iters left: 5 (39 enodes) 6.348 * * [simplify]: iters left: 4 (42 enodes) 6.354 * * [simplify]: Extracting #0: cost 1 inf + 0 6.354 * * [simplify]: Extracting #1: cost 4 inf + 0 6.354 * * [simplify]: Extracting #2: cost 8 inf + 0 6.354 * * [simplify]: Extracting #3: cost 9 inf + 1 6.354 * * [simplify]: Extracting #4: cost 11 inf + 83 6.354 * * [simplify]: Extracting #5: cost 12 inf + 125 6.354 * * [simplify]: Extracting #6: cost 14 inf + 166 6.354 * * [simplify]: Extracting #7: cost 16 inf + 207 6.354 * * [simplify]: Extracting #8: cost 13 inf + 290 6.354 * * [simplify]: Extracting #9: cost 8 inf + 899 6.355 * * [simplify]: Extracting #10: cost 4 inf + 1787 6.355 * * [simplify]: Extracting #11: cost 1 inf + 2714 6.356 * * [simplify]: Extracting #12: cost 0 inf + 3077 6.356 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.356 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.356 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.356 * * [simplify]: iters left: 6 (11 enodes) 6.359 * * [simplify]: iters left: 5 (37 enodes) 6.364 * * [simplify]: iters left: 4 (40 enodes) 6.372 * * [simplify]: Extracting #0: cost 1 inf + 0 6.372 * * [simplify]: Extracting #1: cost 4 inf + 0 6.372 * * [simplify]: Extracting #2: cost 9 inf + 0 6.372 * * [simplify]: Extracting #3: cost 11 inf + 1 6.372 * * [simplify]: Extracting #4: cost 11 inf + 165 6.372 * * [simplify]: Extracting #5: cost 13 inf + 166 6.373 * * [simplify]: Extracting #6: cost 13 inf + 248 6.373 * * [simplify]: Extracting #7: cost 11 inf + 533 6.373 * * [simplify]: Extracting #8: cost 6 inf + 1302 6.374 * * [simplify]: Extracting #9: cost 2 inf + 2350 6.375 * * [simplify]: Extracting #10: cost 1 inf + 2712 6.376 * * [simplify]: Extracting #11: cost 0 inf + 3074 6.377 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.377 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 6.377 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 6.377 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 6.377 * * [simplify]: iters left: 3 (5 enodes) 6.382 * * [simplify]: iters left: 2 (17 enodes) 6.388 * * [simplify]: iters left: 1 (19 enodes) 6.393 * * [simplify]: Extracting #0: cost 1 inf + 0 6.394 * * [simplify]: Extracting #1: cost 4 inf + 0 6.394 * * [simplify]: Extracting #2: cost 2 inf + 2 6.394 * * [simplify]: Extracting #3: cost 0 inf + 84 6.394 * [simplify]: Simplified to (sqrt 2.0) 6.394 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.394 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.394 * * [simplify]: iters left: 6 (10 enodes) 6.398 * * [simplify]: iters left: 5 (34 enodes) 6.407 * * [simplify]: iters left: 4 (37 enodes) 6.419 * * [simplify]: Extracting #0: cost 1 inf + 0 6.419 * * [simplify]: Extracting #1: cost 4 inf + 0 6.419 * * [simplify]: Extracting #2: cost 9 inf + 0 6.419 * * [simplify]: Extracting #3: cost 13 inf + 1 6.419 * * [simplify]: Extracting #4: cost 10 inf + 207 6.419 * * [simplify]: Extracting #5: cost 11 inf + 248 6.420 * * [simplify]: Extracting #6: cost 9 inf + 533 6.420 * * [simplify]: Extracting #7: cost 5 inf + 1100 6.421 * * [simplify]: Extracting #8: cost 1 inf + 2108 6.421 * * [simplify]: Extracting #9: cost 0 inf + 2430 6.422 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.422 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.422 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 6.423 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.423 * * [simplify]: iters left: 6 (13 enodes) 6.429 * * [simplify]: iters left: 5 (41 enodes) 6.440 * * [simplify]: Extracting #0: cost 1 inf + 0 6.441 * * [simplify]: Extracting #1: cost 4 inf + 0 6.441 * * [simplify]: Extracting #2: cost 8 inf + 0 6.441 * * [simplify]: Extracting #3: cost 10 inf + 1 6.441 * * [simplify]: Extracting #4: cost 12 inf + 83 6.441 * * [simplify]: Extracting #5: cost 12 inf + 125 6.441 * * [simplify]: Extracting #6: cost 14 inf + 166 6.441 * * [simplify]: Extracting #7: cost 16 inf + 207 6.441 * * [simplify]: Extracting #8: cost 13 inf + 290 6.442 * * [simplify]: Extracting #9: cost 10 inf + 615 6.442 * * [simplify]: Extracting #10: cost 5 inf + 1705 6.443 * * [simplify]: Extracting #11: cost 1 inf + 2914 6.443 * * [simplify]: Extracting #12: cost 0 inf + 3317 6.444 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.444 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.444 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.444 * * [simplify]: iters left: 6 (12 enodes) 6.446 * * [simplify]: iters left: 5 (40 enodes) 6.451 * * [simplify]: iters left: 4 (43 enodes) 6.457 * * [simplify]: Extracting #0: cost 1 inf + 0 6.457 * * [simplify]: Extracting #1: cost 4 inf + 0 6.457 * * [simplify]: Extracting #2: cost 9 inf + 0 6.457 * * [simplify]: Extracting #3: cost 13 inf + 1 6.457 * * [simplify]: Extracting #4: cost 15 inf + 124 6.457 * * [simplify]: Extracting #5: cost 15 inf + 166 6.457 * * [simplify]: Extracting #6: cost 14 inf + 329 6.457 * * [simplify]: Extracting #7: cost 12 inf + 573 6.458 * * [simplify]: Extracting #8: cost 6 inf + 1544 6.458 * * [simplify]: Extracting #9: cost 0 inf + 3476 6.459 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 6.459 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 6.459 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 6.459 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.459 * * [simplify]: iters left: 6 (13 enodes) 6.462 * * [simplify]: iters left: 5 (41 enodes) 6.468 * * [simplify]: Extracting #0: cost 1 inf + 0 6.468 * * [simplify]: Extracting #1: cost 4 inf + 0 6.468 * * [simplify]: Extracting #2: cost 8 inf + 0 6.468 * * [simplify]: Extracting #3: cost 10 inf + 1 6.468 * * [simplify]: Extracting #4: cost 12 inf + 83 6.468 * * [simplify]: Extracting #5: cost 12 inf + 125 6.468 * * [simplify]: Extracting #6: cost 14 inf + 166 6.468 * * [simplify]: Extracting #7: cost 16 inf + 207 6.468 * * [simplify]: Extracting #8: cost 13 inf + 290 6.469 * * [simplify]: Extracting #9: cost 10 inf + 615 6.469 * * [simplify]: Extracting #10: cost 5 inf + 1705 6.469 * * [simplify]: Extracting #11: cost 1 inf + 2914 6.470 * * [simplify]: Extracting #12: cost 0 inf + 3317 6.471 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.471 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.471 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.472 * * [simplify]: iters left: 6 (12 enodes) 6.477 * * [simplify]: iters left: 5 (40 enodes) 6.487 * * [simplify]: iters left: 4 (43 enodes) 6.492 * * [simplify]: Extracting #0: cost 1 inf + 0 6.492 * * [simplify]: Extracting #1: cost 4 inf + 0 6.492 * * [simplify]: Extracting #2: cost 9 inf + 0 6.492 * * [simplify]: Extracting #3: cost 13 inf + 1 6.492 * * [simplify]: Extracting #4: cost 15 inf + 124 6.492 * * [simplify]: Extracting #5: cost 15 inf + 166 6.492 * * [simplify]: Extracting #6: cost 14 inf + 329 6.493 * * [simplify]: Extracting #7: cost 12 inf + 573 6.493 * * [simplify]: Extracting #8: cost 6 inf + 1544 6.493 * * [simplify]: Extracting #9: cost 0 inf + 3476 6.494 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 6.494 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 6.494 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 6.494 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt 1)) 6.494 * * [simplify]: iters left: 3 (5 enodes) 6.497 * * [simplify]: iters left: 2 (17 enodes) 6.500 * * [simplify]: iters left: 1 (19 enodes) 6.503 * * [simplify]: Extracting #0: cost 1 inf + 0 6.503 * * [simplify]: Extracting #1: cost 4 inf + 0 6.503 * * [simplify]: Extracting #2: cost 2 inf + 2 6.504 * * [simplify]: Extracting #3: cost 0 inf + 84 6.504 * [simplify]: Simplified to (sqrt 2.0) 6.504 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.504 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.504 * * [simplify]: iters left: 6 (10 enodes) 6.506 * * [simplify]: iters left: 5 (34 enodes) 6.512 * * [simplify]: iters left: 4 (37 enodes) 6.519 * * [simplify]: Extracting #0: cost 1 inf + 0 6.519 * * [simplify]: Extracting #1: cost 4 inf + 0 6.519 * * [simplify]: Extracting #2: cost 9 inf + 0 6.519 * * [simplify]: Extracting #3: cost 13 inf + 1 6.519 * * [simplify]: Extracting #4: cost 10 inf + 207 6.519 * * [simplify]: Extracting #5: cost 11 inf + 248 6.519 * * [simplify]: Extracting #6: cost 9 inf + 533 6.520 * * [simplify]: Extracting #7: cost 5 inf + 1100 6.520 * * [simplify]: Extracting #8: cost 1 inf + 2108 6.521 * * [simplify]: Extracting #9: cost 0 inf + 2430 6.522 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.523 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.523 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 6.523 * [simplify]: Simplifying (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.523 * * [simplify]: iters left: 6 (12 enodes) 6.529 * * [simplify]: iters left: 5 (39 enodes) 6.535 * * [simplify]: iters left: 4 (42 enodes) 6.541 * * [simplify]: Extracting #0: cost 1 inf + 0 6.541 * * [simplify]: Extracting #1: cost 4 inf + 0 6.541 * * [simplify]: Extracting #2: cost 8 inf + 0 6.541 * * [simplify]: Extracting #3: cost 9 inf + 1 6.541 * * [simplify]: Extracting #4: cost 11 inf + 83 6.541 * * [simplify]: Extracting #5: cost 12 inf + 125 6.541 * * [simplify]: Extracting #6: cost 14 inf + 166 6.541 * * [simplify]: Extracting #7: cost 16 inf + 207 6.542 * * [simplify]: Extracting #8: cost 13 inf + 290 6.542 * * [simplify]: Extracting #9: cost 8 inf + 899 6.542 * * [simplify]: Extracting #10: cost 4 inf + 1787 6.542 * * [simplify]: Extracting #11: cost 1 inf + 2714 6.543 * * [simplify]: Extracting #12: cost 0 inf + 3077 6.543 * [simplify]: Simplified to (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.543 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.544 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.544 * * [simplify]: iters left: 6 (11 enodes) 6.546 * * [simplify]: iters left: 5 (37 enodes) 6.551 * * [simplify]: iters left: 4 (40 enodes) 6.556 * * [simplify]: Extracting #0: cost 1 inf + 0 6.556 * * [simplify]: Extracting #1: cost 4 inf + 0 6.556 * * [simplify]: Extracting #2: cost 9 inf + 0 6.556 * * [simplify]: Extracting #3: cost 11 inf + 1 6.556 * * [simplify]: Extracting #4: cost 11 inf + 165 6.556 * * [simplify]: Extracting #5: cost 13 inf + 166 6.557 * * [simplify]: Extracting #6: cost 13 inf + 248 6.557 * * [simplify]: Extracting #7: cost 11 inf + 533 6.557 * * [simplify]: Extracting #8: cost 6 inf + 1302 6.557 * * [simplify]: Extracting #9: cost 2 inf + 2350 6.558 * * [simplify]: Extracting #10: cost 1 inf + 2712 6.558 * * [simplify]: Extracting #11: cost 0 inf + 3074 6.559 * [simplify]: Simplified to (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 6.559 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 6.560 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 6.560 * [simplify]: Simplifying (/ (sqrt 2.0) 1) 6.560 * * [simplify]: iters left: 3 (4 enodes) 6.563 * * [simplify]: iters left: 2 (12 enodes) 6.567 * * [simplify]: iters left: 1 (14 enodes) 6.572 * * [simplify]: Extracting #0: cost 1 inf + 0 6.572 * * [simplify]: Extracting #1: cost 4 inf + 0 6.572 * * [simplify]: Extracting #2: cost 0 inf + 84 6.572 * [simplify]: Simplified to (sqrt 2.0) 6.572 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.572 * [simplify]: Simplifying (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.573 * * [simplify]: iters left: 6 (10 enodes) 6.575 * * [simplify]: iters left: 5 (34 enodes) 6.580 * * [simplify]: iters left: 4 (37 enodes) 6.585 * * [simplify]: Extracting #0: cost 1 inf + 0 6.585 * * [simplify]: Extracting #1: cost 4 inf + 0 6.585 * * [simplify]: Extracting #2: cost 9 inf + 0 6.585 * * [simplify]: Extracting #3: cost 13 inf + 1 6.585 * * [simplify]: Extracting #4: cost 10 inf + 207 6.585 * * [simplify]: Extracting #5: cost 11 inf + 248 6.585 * * [simplify]: Extracting #6: cost 9 inf + 533 6.585 * * [simplify]: Extracting #7: cost 5 inf + 1100 6.586 * * [simplify]: Extracting #8: cost 1 inf + 2108 6.586 * * [simplify]: Extracting #9: cost 0 inf + 2430 6.587 * [simplify]: Simplified to (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 6.587 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 6.587 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 6.587 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.587 * * [simplify]: iters left: 6 (15 enodes) 6.591 * * [simplify]: iters left: 5 (53 enodes) 6.598 * * [simplify]: iters left: 4 (62 enodes) 6.613 * * [simplify]: Extracting #0: cost 1 inf + 0 6.613 * * [simplify]: Extracting #1: cost 6 inf + 0 6.613 * * [simplify]: Extracting #2: cost 12 inf + 0 6.613 * * [simplify]: Extracting #3: cost 16 inf + 0 6.613 * * [simplify]: Extracting #4: cost 25 inf + 0 6.613 * * [simplify]: Extracting #5: cost 27 inf + 3 6.613 * * [simplify]: Extracting #6: cost 19 inf + 819 6.614 * * [simplify]: Extracting #7: cost 14 inf + 1470 6.615 * * [simplify]: Extracting #8: cost 5 inf + 3567 6.617 * * [simplify]: Extracting #9: cost 0 inf + 5901 6.618 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.618 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.619 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.619 * * [simplify]: iters left: 6 (14 enodes) 6.622 * * [simplify]: iters left: 5 (48 enodes) 6.628 * * [simplify]: iters left: 4 (55 enodes) 6.636 * * [simplify]: Extracting #0: cost 1 inf + 0 6.636 * * [simplify]: Extracting #1: cost 4 inf + 0 6.636 * * [simplify]: Extracting #2: cost 8 inf + 0 6.637 * * [simplify]: Extracting #3: cost 12 inf + 0 6.637 * * [simplify]: Extracting #4: cost 21 inf + 0 6.637 * * [simplify]: Extracting #5: cost 22 inf + 44 6.637 * * [simplify]: Extracting #6: cost 14 inf + 821 6.637 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.638 * * [simplify]: Extracting #8: cost 2 inf + 3406 6.638 * * [simplify]: Extracting #9: cost 0 inf + 4131 6.639 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.639 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.639 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 6.639 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 6.639 * * [simplify]: iters left: 6 (15 enodes) 6.643 * * [simplify]: iters left: 5 (52 enodes) 6.654 * * [simplify]: iters left: 4 (59 enodes) 6.666 * * [simplify]: Extracting #0: cost 1 inf + 0 6.666 * * [simplify]: Extracting #1: cost 4 inf + 0 6.666 * * [simplify]: Extracting #2: cost 9 inf + 0 6.666 * * [simplify]: Extracting #3: cost 14 inf + 0 6.666 * * [simplify]: Extracting #4: cost 23 inf + 0 6.666 * * [simplify]: Extracting #5: cost 24 inf + 44 6.666 * * [simplify]: Extracting #6: cost 19 inf + 575 6.667 * * [simplify]: Extracting #7: cost 13 inf + 1308 6.667 * * [simplify]: Extracting #8: cost 5 inf + 2963 6.668 * * [simplify]: Extracting #9: cost 0 inf + 4855 6.669 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.669 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.669 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.669 * * [simplify]: iters left: 6 (14 enodes) 6.672 * * [simplify]: iters left: 5 (48 enodes) 6.679 * * [simplify]: iters left: 4 (55 enodes) 6.687 * * [simplify]: Extracting #0: cost 1 inf + 0 6.687 * * [simplify]: Extracting #1: cost 4 inf + 0 6.687 * * [simplify]: Extracting #2: cost 8 inf + 0 6.687 * * [simplify]: Extracting #3: cost 12 inf + 0 6.687 * * [simplify]: Extracting #4: cost 21 inf + 0 6.687 * * [simplify]: Extracting #5: cost 22 inf + 44 6.687 * * [simplify]: Extracting #6: cost 14 inf + 821 6.687 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.688 * * [simplify]: Extracting #8: cost 2 inf + 3446 6.688 * * [simplify]: Extracting #9: cost 0 inf + 4211 6.689 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.689 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.689 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 6.689 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.690 * * [simplify]: iters left: 6 (14 enodes) 6.695 * * [simplify]: iters left: 5 (48 enodes) 6.711 * * [simplify]: iters left: 4 (55 enodes) 6.724 * * [simplify]: Extracting #0: cost 1 inf + 0 6.724 * * [simplify]: Extracting #1: cost 4 inf + 0 6.724 * * [simplify]: Extracting #2: cost 8 inf + 0 6.724 * * [simplify]: Extracting #3: cost 12 inf + 0 6.724 * * [simplify]: Extracting #4: cost 21 inf + 0 6.724 * * [simplify]: Extracting #5: cost 22 inf + 44 6.725 * * [simplify]: Extracting #6: cost 14 inf + 821 6.725 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.725 * * [simplify]: Extracting #8: cost 2 inf + 3286 6.726 * * [simplify]: Extracting #9: cost 0 inf + 3971 6.727 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.727 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.727 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.727 * * [simplify]: iters left: 6 (14 enodes) 6.730 * * [simplify]: iters left: 5 (48 enodes) 6.737 * * [simplify]: iters left: 4 (55 enodes) 6.745 * * [simplify]: Extracting #0: cost 1 inf + 0 6.745 * * [simplify]: Extracting #1: cost 4 inf + 0 6.745 * * [simplify]: Extracting #2: cost 8 inf + 0 6.745 * * [simplify]: Extracting #3: cost 12 inf + 0 6.745 * * [simplify]: Extracting #4: cost 21 inf + 0 6.745 * * [simplify]: Extracting #5: cost 22 inf + 44 6.745 * * [simplify]: Extracting #6: cost 14 inf + 821 6.746 * * [simplify]: Extracting #7: cost 10 inf + 1430 6.746 * * [simplify]: Extracting #8: cost 2 inf + 3286 6.747 * * [simplify]: Extracting #9: cost 0 inf + 3971 6.747 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.747 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 6.747 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 6.748 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 6.748 * * [simplify]: iters left: 6 (9 enodes) 6.751 * * [simplify]: iters left: 5 (32 enodes) 6.757 * * [simplify]: iters left: 4 (38 enodes) 6.768 * * [simplify]: iters left: 3 (40 enodes) 6.778 * * [simplify]: Extracting #0: cost 1 inf + 0 6.778 * * [simplify]: Extracting #1: cost 4 inf + 0 6.778 * * [simplify]: Extracting #2: cost 5 inf + 1 6.778 * * [simplify]: Extracting #3: cost 10 inf + 1 6.778 * * [simplify]: Extracting #4: cost 10 inf + 3 6.779 * * [simplify]: Extracting #5: cost 6 inf + 209 6.779 * * [simplify]: Extracting #6: cost 1 inf + 779 6.779 * * [simplify]: Extracting #7: cost 0 inf + 901 6.780 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.780 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.780 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.781 * * [simplify]: iters left: 6 (13 enodes) 6.786 * * [simplify]: iters left: 5 (45 enodes) 6.794 * * [simplify]: iters left: 4 (52 enodes) 6.801 * * [simplify]: Extracting #0: cost 1 inf + 0 6.801 * * [simplify]: Extracting #1: cost 4 inf + 0 6.801 * * [simplify]: Extracting #2: cost 8 inf + 0 6.801 * * [simplify]: Extracting #3: cost 14 inf + 0 6.801 * * [simplify]: Extracting #4: cost 20 inf + 42 6.801 * * [simplify]: Extracting #5: cost 21 inf + 85 6.801 * * [simplify]: Extracting #6: cost 13 inf + 900 6.802 * * [simplify]: Extracting #7: cost 1 inf + 2924 6.802 * * [simplify]: Extracting #8: cost 0 inf + 3327 6.803 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.803 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.803 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 6.803 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.803 * * [simplify]: iters left: 6 (15 enodes) 6.808 * * [simplify]: iters left: 5 (50 enodes) 6.815 * * [simplify]: iters left: 4 (54 enodes) 6.822 * * [simplify]: Extracting #0: cost 1 inf + 0 6.822 * * [simplify]: Extracting #1: cost 4 inf + 0 6.822 * * [simplify]: Extracting #2: cost 8 inf + 0 6.822 * * [simplify]: Extracting #3: cost 13 inf + 0 6.822 * * [simplify]: Extracting #4: cost 22 inf + 0 6.822 * * [simplify]: Extracting #5: cost 22 inf + 44 6.822 * * [simplify]: Extracting #6: cost 17 inf + 575 6.823 * * [simplify]: Extracting #7: cost 11 inf + 1308 6.823 * * [simplify]: Extracting #8: cost 4 inf + 2641 6.824 * * [simplify]: Extracting #9: cost 0 inf + 4211 6.824 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 6.824 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.825 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.825 * * [simplify]: iters left: 6 (15 enodes) 6.828 * * [simplify]: iters left: 5 (51 enodes) 6.840 * * [simplify]: iters left: 4 (58 enodes) 6.851 * * [simplify]: Extracting #0: cost 1 inf + 0 6.851 * * [simplify]: Extracting #1: cost 4 inf + 0 6.851 * * [simplify]: Extracting #2: cost 8 inf + 0 6.851 * * [simplify]: Extracting #3: cost 14 inf + 0 6.851 * * [simplify]: Extracting #4: cost 24 inf + 0 6.851 * * [simplify]: Extracting #5: cost 21 inf + 247 6.852 * * [simplify]: Extracting #6: cost 15 inf + 941 6.852 * * [simplify]: Extracting #7: cost 10 inf + 1592 6.852 * * [simplify]: Extracting #8: cost 3 inf + 3085 6.853 * * [simplify]: Extracting #9: cost 0 inf + 4373 6.854 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.854 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.854 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 6.854 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.854 * * [simplify]: iters left: 6 (15 enodes) 6.858 * * [simplify]: iters left: 5 (50 enodes) 6.865 * * [simplify]: iters left: 4 (54 enodes) 6.879 * * [simplify]: Extracting #0: cost 1 inf + 0 6.879 * * [simplify]: Extracting #1: cost 4 inf + 0 6.879 * * [simplify]: Extracting #2: cost 8 inf + 0 6.879 * * [simplify]: Extracting #3: cost 13 inf + 0 6.879 * * [simplify]: Extracting #4: cost 22 inf + 0 6.879 * * [simplify]: Extracting #5: cost 22 inf + 44 6.880 * * [simplify]: Extracting #6: cost 17 inf + 575 6.880 * * [simplify]: Extracting #7: cost 11 inf + 1308 6.881 * * [simplify]: Extracting #8: cost 4 inf + 2641 6.882 * * [simplify]: Extracting #9: cost 0 inf + 4211 6.883 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) 6.884 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.884 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.884 * * [simplify]: iters left: 6 (15 enodes) 6.891 * * [simplify]: iters left: 5 (51 enodes) 6.905 * * [simplify]: iters left: 4 (58 enodes) 6.923 * * [simplify]: Extracting #0: cost 1 inf + 0 6.923 * * [simplify]: Extracting #1: cost 4 inf + 0 6.923 * * [simplify]: Extracting #2: cost 8 inf + 0 6.923 * * [simplify]: Extracting #3: cost 14 inf + 0 6.923 * * [simplify]: Extracting #4: cost 24 inf + 0 6.923 * * [simplify]: Extracting #5: cost 21 inf + 247 6.924 * * [simplify]: Extracting #6: cost 15 inf + 941 6.924 * * [simplify]: Extracting #7: cost 10 inf + 1592 6.925 * * [simplify]: Extracting #8: cost 3 inf + 3085 6.926 * * [simplify]: Extracting #9: cost 0 inf + 4373 6.928 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 6.928 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 6.928 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 6.928 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt 1)) 6.929 * * [simplify]: iters left: 6 (9 enodes) 6.935 * * [simplify]: iters left: 5 (32 enodes) 6.944 * * [simplify]: iters left: 4 (38 enodes) 6.951 * * [simplify]: iters left: 3 (40 enodes) 6.956 * * [simplify]: Extracting #0: cost 1 inf + 0 6.956 * * [simplify]: Extracting #1: cost 4 inf + 0 6.956 * * [simplify]: Extracting #2: cost 5 inf + 1 6.956 * * [simplify]: Extracting #3: cost 10 inf + 1 6.956 * * [simplify]: Extracting #4: cost 10 inf + 3 6.956 * * [simplify]: Extracting #5: cost 6 inf + 209 6.957 * * [simplify]: Extracting #6: cost 1 inf + 779 6.957 * * [simplify]: Extracting #7: cost 0 inf + 901 6.957 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 6.957 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.957 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.957 * * [simplify]: iters left: 6 (13 enodes) 6.960 * * [simplify]: iters left: 5 (45 enodes) 6.967 * * [simplify]: iters left: 4 (52 enodes) 6.974 * * [simplify]: Extracting #0: cost 1 inf + 0 6.974 * * [simplify]: Extracting #1: cost 4 inf + 0 6.974 * * [simplify]: Extracting #2: cost 8 inf + 0 6.974 * * [simplify]: Extracting #3: cost 14 inf + 0 6.974 * * [simplify]: Extracting #4: cost 20 inf + 42 6.974 * * [simplify]: Extracting #5: cost 21 inf + 85 6.974 * * [simplify]: Extracting #6: cost 13 inf + 900 6.975 * * [simplify]: Extracting #7: cost 1 inf + 2924 6.976 * * [simplify]: Extracting #8: cost 0 inf + 3327 6.977 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 6.977 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 6.978 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 6.978 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 6.978 * * [simplify]: iters left: 6 (14 enodes) 6.984 * * [simplify]: iters left: 5 (48 enodes) 6.998 * * [simplify]: iters left: 4 (55 enodes) 7.009 * * [simplify]: Extracting #0: cost 1 inf + 0 7.009 * * [simplify]: Extracting #1: cost 4 inf + 0 7.009 * * [simplify]: Extracting #2: cost 8 inf + 0 7.010 * * [simplify]: Extracting #3: cost 12 inf + 0 7.010 * * [simplify]: Extracting #4: cost 21 inf + 0 7.010 * * [simplify]: Extracting #5: cost 22 inf + 44 7.010 * * [simplify]: Extracting #6: cost 14 inf + 821 7.010 * * [simplify]: Extracting #7: cost 10 inf + 1430 7.011 * * [simplify]: Extracting #8: cost 2 inf + 3286 7.011 * * [simplify]: Extracting #9: cost 0 inf + 3971 7.012 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.012 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.012 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.012 * * [simplify]: iters left: 6 (14 enodes) 7.015 * * [simplify]: iters left: 5 (48 enodes) 7.023 * * [simplify]: iters left: 4 (55 enodes) 7.036 * * [simplify]: Extracting #0: cost 1 inf + 0 7.036 * * [simplify]: Extracting #1: cost 4 inf + 0 7.036 * * [simplify]: Extracting #2: cost 8 inf + 0 7.036 * * [simplify]: Extracting #3: cost 12 inf + 0 7.036 * * [simplify]: Extracting #4: cost 21 inf + 0 7.036 * * [simplify]: Extracting #5: cost 22 inf + 44 7.037 * * [simplify]: Extracting #6: cost 14 inf + 821 7.037 * * [simplify]: Extracting #7: cost 10 inf + 1430 7.038 * * [simplify]: Extracting #8: cost 2 inf + 3286 7.039 * * [simplify]: Extracting #9: cost 0 inf + 3971 7.041 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.041 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.041 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 7.041 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) 1) 7.041 * * [simplify]: iters left: 6 (8 enodes) 7.046 * * [simplify]: iters left: 5 (27 enodes) 7.054 * * [simplify]: iters left: 4 (33 enodes) 7.063 * * [simplify]: Extracting #0: cost 1 inf + 0 7.063 * * [simplify]: Extracting #1: cost 4 inf + 0 7.063 * * [simplify]: Extracting #2: cost 5 inf + 1 7.063 * * [simplify]: Extracting #3: cost 10 inf + 1 7.063 * * [simplify]: Extracting #4: cost 9 inf + 44 7.063 * * [simplify]: Extracting #5: cost 5 inf + 251 7.064 * * [simplify]: Extracting #6: cost 1 inf + 739 7.064 * * [simplify]: Extracting #7: cost 0 inf + 901 7.065 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 7.065 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.065 * [simplify]: Simplifying (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.065 * * [simplify]: iters left: 6 (13 enodes) 7.071 * * [simplify]: iters left: 5 (45 enodes) 7.084 * * [simplify]: iters left: 4 (52 enodes) 7.098 * * [simplify]: Extracting #0: cost 1 inf + 0 7.098 * * [simplify]: Extracting #1: cost 4 inf + 0 7.098 * * [simplify]: Extracting #2: cost 8 inf + 0 7.098 * * [simplify]: Extracting #3: cost 14 inf + 0 7.098 * * [simplify]: Extracting #4: cost 20 inf + 42 7.098 * * [simplify]: Extracting #5: cost 21 inf + 85 7.098 * * [simplify]: Extracting #6: cost 13 inf + 900 7.099 * * [simplify]: Extracting #7: cost 1 inf + 2924 7.100 * * [simplify]: Extracting #8: cost 0 inf + 3327 7.101 * [simplify]: Simplified to (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.101 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.102 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 7.102 * [simplify]: Simplifying (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.102 * * [simplify]: iters left: 6 (12 enodes) 7.108 * * [simplify]: iters left: 5 (43 enodes) 7.121 * * [simplify]: iters left: 4 (50 enodes) 7.135 * * [simplify]: Extracting #0: cost 1 inf + 0 7.135 * * [simplify]: Extracting #1: cost 6 inf + 0 7.135 * * [simplify]: Extracting #2: cost 9 inf + 1 7.135 * * [simplify]: Extracting #3: cost 11 inf + 1 7.135 * * [simplify]: Extracting #4: cost 15 inf + 1 7.135 * * [simplify]: Extracting #5: cost 17 inf + 2 7.135 * * [simplify]: Extracting #6: cost 18 inf + 84 7.136 * * [simplify]: Extracting #7: cost 20 inf + 125 7.136 * * [simplify]: Extracting #8: cost 15 inf + 371 7.136 * * [simplify]: Extracting #9: cost 7 inf + 2027 7.138 * * [simplify]: Extracting #10: cost 1 inf + 4243 7.139 * * [simplify]: Extracting #11: cost 0 inf + 4605 7.140 * [simplify]: Simplified to (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.140 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.141 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.141 * * [simplify]: iters left: 6 (13 enodes) 7.148 * * [simplify]: iters left: 5 (45 enodes) 7.161 * * [simplify]: iters left: 4 (52 enodes) 7.172 * * [simplify]: Extracting #0: cost 1 inf + 0 7.172 * * [simplify]: Extracting #1: cost 4 inf + 0 7.172 * * [simplify]: Extracting #2: cost 8 inf + 0 7.172 * * [simplify]: Extracting #3: cost 15 inf + 0 7.172 * * [simplify]: Extracting #4: cost 19 inf + 2 7.173 * * [simplify]: Extracting #5: cost 17 inf + 209 7.173 * * [simplify]: Extracting #6: cost 14 inf + 537 7.173 * * [simplify]: Extracting #7: cost 9 inf + 1308 7.173 * * [simplify]: Extracting #8: cost 1 inf + 3284 7.174 * * [simplify]: Extracting #9: cost 0 inf + 3727 7.175 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 7.175 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt (* 2.0 (* im im))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 7.175 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 7.175 * [simplify]: Simplifying (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.175 * * [simplify]: iters left: 6 (12 enodes) 7.178 * * [simplify]: iters left: 5 (42 enodes) 7.184 * * [simplify]: iters left: 4 (47 enodes) 7.191 * * [simplify]: Extracting #0: cost 1 inf + 0 7.191 * * [simplify]: Extracting #1: cost 4 inf + 0 7.191 * * [simplify]: Extracting #2: cost 6 inf + 1 7.191 * * [simplify]: Extracting #3: cost 9 inf + 1 7.191 * * [simplify]: Extracting #4: cost 13 inf + 1 7.191 * * [simplify]: Extracting #5: cost 14 inf + 43 7.191 * * [simplify]: Extracting #6: cost 16 inf + 84 7.191 * * [simplify]: Extracting #7: cost 18 inf + 125 7.191 * * [simplify]: Extracting #8: cost 16 inf + 167 7.191 * * [simplify]: Extracting #9: cost 13 inf + 371 7.192 * * [simplify]: Extracting #10: cost 9 inf + 1019 7.192 * * [simplify]: Extracting #11: cost 2 inf + 3114 7.193 * * [simplify]: Extracting #12: cost 0 inf + 3799 7.193 * [simplify]: Simplified to (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.193 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.193 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.194 * * [simplify]: iters left: 6 (13 enodes) 7.197 * * [simplify]: iters left: 5 (45 enodes) 7.203 * * [simplify]: iters left: 4 (52 enodes) 7.211 * * [simplify]: Extracting #0: cost 1 inf + 0 7.211 * * [simplify]: Extracting #1: cost 4 inf + 0 7.211 * * [simplify]: Extracting #2: cost 8 inf + 0 7.211 * * [simplify]: Extracting #3: cost 15 inf + 0 7.211 * * [simplify]: Extracting #4: cost 19 inf + 2 7.211 * * [simplify]: Extracting #5: cost 17 inf + 209 7.211 * * [simplify]: Extracting #6: cost 14 inf + 537 7.212 * * [simplify]: Extracting #7: cost 9 inf + 1308 7.212 * * [simplify]: Extracting #8: cost 1 inf + 3364 7.213 * * [simplify]: Extracting #9: cost 0 inf + 3807 7.213 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) 7.213 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 7.214 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 7.214 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.214 * * [simplify]: iters left: 6 (11 enodes) 7.217 * * [simplify]: iters left: 5 (38 enodes) 7.227 * * [simplify]: iters left: 4 (43 enodes) 7.239 * * [simplify]: Extracting #0: cost 1 inf + 0 7.239 * * [simplify]: Extracting #1: cost 4 inf + 0 7.239 * * [simplify]: Extracting #2: cost 5 inf + 1 7.240 * * [simplify]: Extracting #3: cost 7 inf + 1 7.240 * * [simplify]: Extracting #4: cost 11 inf + 1 7.240 * * [simplify]: Extracting #5: cost 12 inf + 43 7.240 * * [simplify]: Extracting #6: cost 14 inf + 84 7.240 * * [simplify]: Extracting #7: cost 16 inf + 125 7.240 * * [simplify]: Extracting #8: cost 14 inf + 167 7.240 * * [simplify]: Extracting #9: cost 11 inf + 371 7.241 * * [simplify]: Extracting #10: cost 7 inf + 1019 7.241 * * [simplify]: Extracting #11: cost 3 inf + 1987 7.242 * * [simplify]: Extracting #12: cost 0 inf + 2915 7.243 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.243 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.244 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.244 * * [simplify]: iters left: 6 (13 enodes) 7.250 * * [simplify]: iters left: 5 (45 enodes) 7.263 * * [simplify]: iters left: 4 (52 enodes) 7.279 * * [simplify]: Extracting #0: cost 1 inf + 0 7.279 * * [simplify]: Extracting #1: cost 4 inf + 0 7.279 * * [simplify]: Extracting #2: cost 8 inf + 0 7.280 * * [simplify]: Extracting #3: cost 15 inf + 0 7.280 * * [simplify]: Extracting #4: cost 19 inf + 2 7.280 * * [simplify]: Extracting #5: cost 17 inf + 209 7.280 * * [simplify]: Extracting #6: cost 14 inf + 537 7.281 * * [simplify]: Extracting #7: cost 9 inf + 1308 7.282 * * [simplify]: Extracting #8: cost 1 inf + 3164 7.283 * * [simplify]: Extracting #9: cost 0 inf + 3567 7.284 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 7.284 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 7.284 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 7.285 * [simplify]: Simplifying (/ 1 (sqrt 1)) 7.285 * * [simplify]: iters left: 3 (3 enodes) 7.290 * * [simplify]: iters left: 2 (11 enodes) 7.293 * * [simplify]: iters left: 1 (13 enodes) 7.296 * * [simplify]: Extracting #0: cost 1 inf + 0 7.296 * * [simplify]: Extracting #1: cost 0 inf + 1 7.296 * [simplify]: Simplified to 1 7.296 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.297 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.297 * * [simplify]: iters left: 6 (12 enodes) 7.302 * * [simplify]: iters left: 5 (42 enodes) 7.314 * * [simplify]: iters left: 4 (49 enodes) 7.328 * * [simplify]: Extracting #0: cost 1 inf + 0 7.328 * * [simplify]: Extracting #1: cost 4 inf + 0 7.328 * * [simplify]: Extracting #2: cost 8 inf + 0 7.328 * * [simplify]: Extracting #3: cost 17 inf + 0 7.328 * * [simplify]: Extracting #4: cost 19 inf + 3 7.329 * * [simplify]: Extracting #5: cost 14 inf + 374 7.329 * * [simplify]: Extracting #6: cost 7 inf + 1388 7.330 * * [simplify]: Extracting #7: cost 1 inf + 2560 7.331 * * [simplify]: Extracting #8: cost 0 inf + 2923 7.332 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 7.332 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 7.332 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 7.332 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.332 * * [simplify]: iters left: 6 (12 enodes) 7.338 * * [simplify]: iters left: 5 (40 enodes) 7.349 * * [simplify]: iters left: 4 (42 enodes) 7.361 * * [simplify]: Extracting #0: cost 1 inf + 0 7.361 * * [simplify]: Extracting #1: cost 4 inf + 0 7.361 * * [simplify]: Extracting #2: cost 5 inf + 1 7.361 * * [simplify]: Extracting #3: cost 8 inf + 1 7.362 * * [simplify]: Extracting #4: cost 12 inf + 1 7.362 * * [simplify]: Extracting #5: cost 13 inf + 2 7.362 * * [simplify]: Extracting #6: cost 14 inf + 84 7.362 * * [simplify]: Extracting #7: cost 16 inf + 125 7.362 * * [simplify]: Extracting #8: cost 14 inf + 167 7.362 * * [simplify]: Extracting #9: cost 10 inf + 493 7.363 * * [simplify]: Extracting #10: cost 4 inf + 1785 7.363 * * [simplify]: Extracting #11: cost 2 inf + 2470 7.364 * * [simplify]: Extracting #12: cost 0 inf + 3155 7.365 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.365 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.366 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.366 * * [simplify]: iters left: 6 (14 enodes) 7.372 * * [simplify]: iters left: 5 (48 enodes) 7.386 * * [simplify]: iters left: 4 (55 enodes) 7.401 * * [simplify]: Extracting #0: cost 1 inf + 0 7.401 * * [simplify]: Extracting #1: cost 4 inf + 0 7.401 * * [simplify]: Extracting #2: cost 8 inf + 0 7.401 * * [simplify]: Extracting #3: cost 17 inf + 0 7.401 * * [simplify]: Extracting #4: cost 22 inf + 2 7.402 * * [simplify]: Extracting #5: cost 15 inf + 577 7.402 * * [simplify]: Extracting #6: cost 14 inf + 740 7.403 * * [simplify]: Extracting #7: cost 9 inf + 1510 7.404 * * [simplify]: Extracting #8: cost 2 inf + 3244 7.405 * * [simplify]: Extracting #9: cost 0 inf + 3969 7.406 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 7.406 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 7.406 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 7.407 * [simplify]: Simplifying (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.407 * * [simplify]: iters left: 6 (12 enodes) 7.413 * * [simplify]: iters left: 5 (40 enodes) 7.424 * * [simplify]: iters left: 4 (42 enodes) 7.438 * * [simplify]: Extracting #0: cost 1 inf + 0 7.439 * * [simplify]: Extracting #1: cost 4 inf + 0 7.439 * * [simplify]: Extracting #2: cost 5 inf + 1 7.439 * * [simplify]: Extracting #3: cost 8 inf + 1 7.439 * * [simplify]: Extracting #4: cost 12 inf + 1 7.439 * * [simplify]: Extracting #5: cost 13 inf + 2 7.439 * * [simplify]: Extracting #6: cost 14 inf + 84 7.439 * * [simplify]: Extracting #7: cost 16 inf + 125 7.439 * * [simplify]: Extracting #8: cost 14 inf + 167 7.439 * * [simplify]: Extracting #9: cost 10 inf + 493 7.440 * * [simplify]: Extracting #10: cost 4 inf + 1785 7.441 * * [simplify]: Extracting #11: cost 2 inf + 2470 7.442 * * [simplify]: Extracting #12: cost 0 inf + 3155 7.443 * [simplify]: Simplified to (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.443 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.443 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 7.443 * * [simplify]: iters left: 6 (14 enodes) 7.448 * * [simplify]: iters left: 5 (48 enodes) 7.455 * * [simplify]: iters left: 4 (55 enodes) 7.463 * * [simplify]: Extracting #0: cost 1 inf + 0 7.463 * * [simplify]: Extracting #1: cost 4 inf + 0 7.463 * * [simplify]: Extracting #2: cost 8 inf + 0 7.463 * * [simplify]: Extracting #3: cost 17 inf + 0 7.463 * * [simplify]: Extracting #4: cost 22 inf + 2 7.463 * * [simplify]: Extracting #5: cost 15 inf + 577 7.463 * * [simplify]: Extracting #6: cost 14 inf + 740 7.463 * * [simplify]: Extracting #7: cost 9 inf + 1510 7.464 * * [simplify]: Extracting #8: cost 2 inf + 3244 7.465 * * [simplify]: Extracting #9: cost 0 inf + 3969 7.465 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 7.465 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 7.465 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 7.466 * [simplify]: Simplifying (/ 1 (sqrt 1)) 7.466 * * [simplify]: iters left: 3 (3 enodes) 7.470 * * [simplify]: iters left: 2 (11 enodes) 7.472 * * [simplify]: iters left: 1 (13 enodes) 7.473 * * [simplify]: Extracting #0: cost 1 inf + 0 7.473 * * [simplify]: Extracting #1: cost 0 inf + 1 7.473 * [simplify]: Simplified to 1 7.473 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.474 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.474 * * [simplify]: iters left: 6 (12 enodes) 7.479 * * [simplify]: iters left: 5 (42 enodes) 7.491 * * [simplify]: iters left: 4 (49 enodes) 7.503 * * [simplify]: Extracting #0: cost 1 inf + 0 7.503 * * [simplify]: Extracting #1: cost 4 inf + 0 7.503 * * [simplify]: Extracting #2: cost 8 inf + 0 7.503 * * [simplify]: Extracting #3: cost 17 inf + 0 7.503 * * [simplify]: Extracting #4: cost 19 inf + 3 7.504 * * [simplify]: Extracting #5: cost 14 inf + 374 7.504 * * [simplify]: Extracting #6: cost 7 inf + 1388 7.505 * * [simplify]: Extracting #7: cost 1 inf + 2560 7.506 * * [simplify]: Extracting #8: cost 0 inf + 2923 7.506 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 7.507 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 7.507 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 7.507 * [simplify]: Simplifying (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.507 * * [simplify]: iters left: 6 (11 enodes) 7.510 * * [simplify]: iters left: 5 (38 enodes) 7.516 * * [simplify]: iters left: 4 (43 enodes) 7.522 * * [simplify]: Extracting #0: cost 1 inf + 0 7.522 * * [simplify]: Extracting #1: cost 4 inf + 0 7.522 * * [simplify]: Extracting #2: cost 5 inf + 1 7.522 * * [simplify]: Extracting #3: cost 7 inf + 1 7.522 * * [simplify]: Extracting #4: cost 11 inf + 1 7.522 * * [simplify]: Extracting #5: cost 12 inf + 43 7.522 * * [simplify]: Extracting #6: cost 14 inf + 84 7.523 * * [simplify]: Extracting #7: cost 16 inf + 125 7.523 * * [simplify]: Extracting #8: cost 14 inf + 167 7.523 * * [simplify]: Extracting #9: cost 11 inf + 371 7.523 * * [simplify]: Extracting #10: cost 7 inf + 1019 7.523 * * [simplify]: Extracting #11: cost 3 inf + 1987 7.524 * * [simplify]: Extracting #12: cost 0 inf + 2915 7.524 * [simplify]: Simplified to (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.524 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 7.524 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 7.524 * * [simplify]: iters left: 6 (13 enodes) 7.528 * * [simplify]: iters left: 5 (45 enodes) 7.536 * * [simplify]: iters left: 4 (52 enodes) 7.543 * * [simplify]: Extracting #0: cost 1 inf + 0 7.543 * * [simplify]: Extracting #1: cost 4 inf + 0 7.543 * * [simplify]: Extracting #2: cost 8 inf + 0 7.543 * * [simplify]: Extracting #3: cost 15 inf + 0 7.543 * * [simplify]: Extracting #4: cost 19 inf + 2 7.543 * * [simplify]: Extracting #5: cost 17 inf + 209 7.544 * * [simplify]: Extracting #6: cost 14 inf + 537 7.544 * * [simplify]: Extracting #7: cost 9 inf + 1308 7.544 * * [simplify]: Extracting #8: cost 1 inf + 3164 7.545 * * [simplify]: Extracting #9: cost 0 inf + 3567 7.546 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 7.546 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 7.546 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 7.546 * [simplify]: Simplifying (/ 1 1) 7.546 * * [simplify]: iters left: 2 (2 enodes) 7.547 * * [simplify]: iters left: 1 (6 enodes) 7.548 * * [simplify]: Extracting #0: cost 1 inf + 0 7.548 * * [simplify]: Extracting #1: cost 0 inf + 1 7.548 * [simplify]: Simplified to 1 7.548 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.548 * [simplify]: Simplifying (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.548 * * [simplify]: iters left: 6 (12 enodes) 7.552 * * [simplify]: iters left: 5 (42 enodes) 7.564 * * [simplify]: iters left: 4 (49 enodes) 7.574 * * [simplify]: Extracting #0: cost 1 inf + 0 7.574 * * [simplify]: Extracting #1: cost 4 inf + 0 7.574 * * [simplify]: Extracting #2: cost 8 inf + 0 7.575 * * [simplify]: Extracting #3: cost 17 inf + 0 7.575 * * [simplify]: Extracting #4: cost 19 inf + 3 7.575 * * [simplify]: Extracting #5: cost 14 inf + 374 7.575 * * [simplify]: Extracting #6: cost 7 inf + 1388 7.575 * * [simplify]: Extracting #7: cost 1 inf + 2560 7.576 * * [simplify]: Extracting #8: cost 0 inf + 2923 7.576 * [simplify]: Simplified to (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 7.576 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* 1 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))))) 7.577 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 7.577 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 7.577 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 7.577 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 7.577 * [simplify]: Simplifying (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.577 * * [simplify]: iters left: 6 (9 enodes) 7.579 * * [simplify]: iters left: 5 (30 enodes) 7.583 * * [simplify]: iters left: 4 (33 enodes) 7.587 * * [simplify]: Extracting #0: cost 1 inf + 0 7.587 * * [simplify]: Extracting #1: cost 3 inf + 0 7.587 * * [simplify]: Extracting #2: cost 5 inf + 0 7.587 * * [simplify]: Extracting #3: cost 9 inf + 0 7.587 * * [simplify]: Extracting #4: cost 11 inf + 1 7.587 * * [simplify]: Extracting #5: cost 12 inf + 83 7.588 * * [simplify]: Extracting #6: cost 14 inf + 124 7.588 * * [simplify]: Extracting #7: cost 10 inf + 248 7.588 * * [simplify]: Extracting #8: cost 8 inf + 532 7.588 * * [simplify]: Extracting #9: cost 4 inf + 1260 7.589 * * [simplify]: Extracting #10: cost 0 inf + 2348 7.589 * [simplify]: Simplified to (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.589 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.590 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 7.590 * [simplify]: Simplifying (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 7.590 * * [simplify]: iters left: 6 (9 enodes) 7.592 * * [simplify]: iters left: 5 (30 enodes) 7.596 * * [simplify]: iters left: 4 (33 enodes) 7.600 * * [simplify]: Extracting #0: cost 1 inf + 0 7.600 * * [simplify]: Extracting #1: cost 3 inf + 0 7.600 * * [simplify]: Extracting #2: cost 5 inf + 0 7.600 * * [simplify]: Extracting #3: cost 9 inf + 0 7.600 * * [simplify]: Extracting #4: cost 11 inf + 1 7.600 * * [simplify]: Extracting #5: cost 12 inf + 83 7.600 * * [simplify]: Extracting #6: cost 14 inf + 124 7.600 * * [simplify]: Extracting #7: cost 10 inf + 248 7.600 * * [simplify]: Extracting #8: cost 8 inf + 532 7.600 * * [simplify]: Extracting #9: cost 4 inf + 1300 7.601 * * [simplify]: Extracting #10: cost 0 inf + 2428 7.601 * [simplify]: Simplified to (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 7.601 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.601 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 7.601 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.602 * * [simplify]: iters left: 6 (9 enodes) 7.603 * * [simplify]: iters left: 5 (30 enodes) 7.607 * * [simplify]: iters left: 4 (33 enodes) 7.612 * * [simplify]: Extracting #0: cost 1 inf + 0 7.612 * * [simplify]: Extracting #1: cost 3 inf + 0 7.612 * * [simplify]: Extracting #2: cost 5 inf + 0 7.612 * * [simplify]: Extracting #3: cost 9 inf + 0 7.612 * * [simplify]: Extracting #4: cost 11 inf + 1 7.612 * * [simplify]: Extracting #5: cost 12 inf + 83 7.612 * * [simplify]: Extracting #6: cost 14 inf + 124 7.612 * * [simplify]: Extracting #7: cost 10 inf + 248 7.612 * * [simplify]: Extracting #8: cost 8 inf + 532 7.612 * * [simplify]: Extracting #9: cost 4 inf + 1260 7.613 * * [simplify]: Extracting #10: cost 0 inf + 2268 7.613 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.613 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.613 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 7.613 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.613 * * [simplify]: iters left: 6 (8 enodes) 7.615 * * [simplify]: iters left: 5 (27 enodes) 7.619 * * [simplify]: iters left: 4 (30 enodes) 7.624 * * [simplify]: Extracting #0: cost 1 inf + 0 7.624 * * [simplify]: Extracting #1: cost 3 inf + 0 7.624 * * [simplify]: Extracting #2: cost 7 inf + 0 7.624 * * [simplify]: Extracting #3: cost 9 inf + 1 7.624 * * [simplify]: Extracting #4: cost 10 inf + 83 7.624 * * [simplify]: Extracting #5: cost 12 inf + 124 7.624 * * [simplify]: Extracting #6: cost 9 inf + 207 7.624 * * [simplify]: Extracting #7: cost 5 inf + 654 7.625 * * [simplify]: Extracting #8: cost 1 inf + 1462 7.625 * * [simplify]: Extracting #9: cost 0 inf + 1704 7.625 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.625 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.625 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 7.625 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 7.626 * * [simplify]: iters left: 6 (10 enodes) 7.627 * * [simplify]: iters left: 5 (33 enodes) 7.632 * * [simplify]: iters left: 4 (36 enodes) 7.636 * * [simplify]: Extracting #0: cost 1 inf + 0 7.636 * * [simplify]: Extracting #1: cost 3 inf + 0 7.636 * * [simplify]: Extracting #2: cost 7 inf + 0 7.636 * * [simplify]: Extracting #3: cost 12 inf + 0 7.636 * * [simplify]: Extracting #4: cost 13 inf + 1 7.636 * * [simplify]: Extracting #5: cost 14 inf + 83 7.636 * * [simplify]: Extracting #6: cost 14 inf + 286 7.636 * * [simplify]: Extracting #7: cost 11 inf + 369 7.637 * * [simplify]: Extracting #8: cost 7 inf + 816 7.637 * * [simplify]: Extracting #9: cost 0 inf + 2590 7.637 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 7.637 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 7.638 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 7.638 * [simplify]: Simplifying (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 7.638 * * [simplify]: iters left: 6 (10 enodes) 7.640 * * [simplify]: iters left: 5 (33 enodes) 7.644 * * [simplify]: iters left: 4 (36 enodes) 7.648 * * [simplify]: Extracting #0: cost 1 inf + 0 7.649 * * [simplify]: Extracting #1: cost 3 inf + 0 7.649 * * [simplify]: Extracting #2: cost 7 inf + 0 7.649 * * [simplify]: Extracting #3: cost 12 inf + 0 7.649 * * [simplify]: Extracting #4: cost 13 inf + 1 7.649 * * [simplify]: Extracting #5: cost 14 inf + 83 7.649 * * [simplify]: Extracting #6: cost 14 inf + 286 7.649 * * [simplify]: Extracting #7: cost 11 inf + 369 7.649 * * [simplify]: Extracting #8: cost 7 inf + 816 7.650 * * [simplify]: Extracting #9: cost 0 inf + 2590 7.650 * [simplify]: Simplified to (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 7.650 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 7.650 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 7.650 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.650 * * [simplify]: iters left: 6 (8 enodes) 7.652 * * [simplify]: iters left: 5 (27 enodes) 7.657 * * [simplify]: iters left: 4 (30 enodes) 7.664 * * [simplify]: Extracting #0: cost 1 inf + 0 7.664 * * [simplify]: Extracting #1: cost 3 inf + 0 7.664 * * [simplify]: Extracting #2: cost 7 inf + 0 7.664 * * [simplify]: Extracting #3: cost 9 inf + 1 7.664 * * [simplify]: Extracting #4: cost 10 inf + 83 7.664 * * [simplify]: Extracting #5: cost 12 inf + 124 7.664 * * [simplify]: Extracting #6: cost 9 inf + 207 7.665 * * [simplify]: Extracting #7: cost 5 inf + 654 7.665 * * [simplify]: Extracting #8: cost 1 inf + 1462 7.665 * * [simplify]: Extracting #9: cost 0 inf + 1704 7.666 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.666 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt 1)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.666 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 7.666 * [simplify]: Simplifying (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.667 * * [simplify]: iters left: 6 (9 enodes) 7.670 * * [simplify]: iters left: 5 (30 enodes) 7.677 * * [simplify]: iters left: 4 (33 enodes) 7.686 * * [simplify]: Extracting #0: cost 1 inf + 0 7.686 * * [simplify]: Extracting #1: cost 3 inf + 0 7.686 * * [simplify]: Extracting #2: cost 5 inf + 0 7.686 * * [simplify]: Extracting #3: cost 9 inf + 0 7.686 * * [simplify]: Extracting #4: cost 11 inf + 1 7.686 * * [simplify]: Extracting #5: cost 12 inf + 83 7.686 * * [simplify]: Extracting #6: cost 14 inf + 124 7.686 * * [simplify]: Extracting #7: cost 10 inf + 248 7.686 * * [simplify]: Extracting #8: cost 8 inf + 532 7.687 * * [simplify]: Extracting #9: cost 4 inf + 1260 7.688 * * [simplify]: Extracting #10: cost 0 inf + 2268 7.688 * [simplify]: Simplified to (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 7.688 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 7.689 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 7.689 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.689 * * [simplify]: iters left: 6 (8 enodes) 7.692 * * [simplify]: iters left: 5 (27 enodes) 7.700 * * [simplify]: iters left: 4 (30 enodes) 7.707 * * [simplify]: Extracting #0: cost 1 inf + 0 7.707 * * [simplify]: Extracting #1: cost 3 inf + 0 7.707 * * [simplify]: Extracting #2: cost 7 inf + 0 7.708 * * [simplify]: Extracting #3: cost 9 inf + 1 7.708 * * [simplify]: Extracting #4: cost 10 inf + 83 7.708 * * [simplify]: Extracting #5: cost 12 inf + 124 7.708 * * [simplify]: Extracting #6: cost 9 inf + 207 7.708 * * [simplify]: Extracting #7: cost 5 inf + 654 7.709 * * [simplify]: Extracting #8: cost 1 inf + 1462 7.709 * * [simplify]: Extracting #9: cost 0 inf + 1704 7.710 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 7.710 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (/ (sqrt (* 2.0 (* im im))) 1) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.710 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 7.710 * [simplify]: Simplifying (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 7.710 * * [simplify]: iters left: 6 (7 enodes) 7.714 * * [simplify]: iters left: 5 (24 enodes) 7.721 * * [simplify]: iters left: 4 (28 enodes) 7.728 * * [simplify]: Extracting #0: cost 1 inf + 0 7.728 * * [simplify]: Extracting #1: cost 3 inf + 0 7.728 * * [simplify]: Extracting #2: cost 5 inf + 0 7.728 * * [simplify]: Extracting #3: cost 7 inf + 0 7.729 * * [simplify]: Extracting #4: cost 12 inf + 0 7.729 * * [simplify]: Extracting #5: cost 12 inf + 2 7.729 * * [simplify]: Extracting #6: cost 6 inf + 332 7.730 * * [simplify]: Extracting #7: cost 3 inf + 778 7.730 * * [simplify]: Extracting #8: cost 1 inf + 1222 7.730 * * [simplify]: Extracting #9: cost 0 inf + 1464 7.730 * [simplify]: Simplified to (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) 7.730 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* 2.0 (* im im)))))))) 7.730 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 7.731 * [simplify]: Simplifying (sqrt 2.0) 7.731 * * [simplify]: iters left: 1 (2 enodes) 7.732 * * [simplify]: Extracting #0: cost 1 inf + 0 7.732 * * [simplify]: Extracting #1: cost 3 inf + 0 7.732 * * [simplify]: Extracting #2: cost 2 inf + 1 7.732 * * [simplify]: Extracting #3: cost 0 inf + 83 7.732 * [simplify]: Simplified to (sqrt 2.0) 7.732 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt 2.0) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im im)))))) 7.732 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 7.732 * [simplify]: Simplifying (sqrt (sqrt (* 2.0 (* im im)))) 7.732 * * [simplify]: iters left: 6 (6 enodes) 7.734 * * [simplify]: iters left: 5 (21 enodes) 7.737 * * [simplify]: iters left: 4 (25 enodes) 7.741 * * [simplify]: Extracting #0: cost 1 inf + 0 7.741 * * [simplify]: Extracting #1: cost 3 inf + 0 7.741 * * [simplify]: Extracting #2: cost 5 inf + 0 7.741 * * [simplify]: Extracting #3: cost 10 inf + 0 7.741 * * [simplify]: Extracting #4: cost 10 inf + 2 7.741 * * [simplify]: Extracting #5: cost 1 inf + 738 7.741 * * [simplify]: Extracting #6: cost 0 inf + 900 7.741 * [simplify]: Simplified to (sqrt (sqrt (* 2.0 (* im im)))) 7.742 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (sqrt (* 2.0 (* im im)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* 2.0 (* im im)))))))) 7.742 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 7.742 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 7.742 * [simplify]: Simplifying (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) 7.742 * * [simplify]: iters left: 6 (11 enodes) 7.744 * * [simplify]: iters left: 5 (39 enodes) 7.750 * * [simplify]: iters left: 4 (63 enodes) 7.762 * * [simplify]: iters left: 3 (86 enodes) 7.787 * * [simplify]: iters left: 2 (104 enodes) 7.805 * * [simplify]: Extracting #0: cost 1 inf + 0 7.805 * * [simplify]: Extracting #1: cost 3 inf + 0 7.805 * * [simplify]: Extracting #2: cost 14 inf + 0 7.805 * * [simplify]: Extracting #3: cost 30 inf + 0 7.805 * * [simplify]: Extracting #4: cost 29 inf + 125 7.805 * * [simplify]: Extracting #5: cost 20 inf + 978 7.806 * * [simplify]: Extracting #6: cost 8 inf + 3642 7.807 * * [simplify]: Extracting #7: cost 0 inf + 5818 7.808 * [simplify]: Simplified to (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re))) 7.809 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (+ (* re re) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) re)))))) 7.809 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 7.809 * [simplify]: Simplifying (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 7.809 * * [simplify]: iters left: 6 (8 enodes) 7.811 * * [simplify]: iters left: 5 (26 enodes) 7.814 * * [simplify]: Extracting #0: cost 1 inf + 0 7.814 * * [simplify]: Extracting #1: cost 3 inf + 0 7.814 * * [simplify]: Extracting #2: cost 6 inf + 0 7.814 * * [simplify]: Extracting #3: cost 7 inf + 1 7.814 * * [simplify]: Extracting #4: cost 10 inf + 1 7.814 * * [simplify]: Extracting #5: cost 12 inf + 42 7.814 * * [simplify]: Extracting #6: cost 9 inf + 125 7.815 * * [simplify]: Extracting #7: cost 5 inf + 572 7.815 * * [simplify]: Extracting #8: cost 1 inf + 1380 7.815 * * [simplify]: Extracting #9: cost 0 inf + 1622 7.815 * [simplify]: Simplified to (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 7.815 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (/ (sqrt (* 2.0 (* im im))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 7.815 * * * * [progress]: [ 94 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.815 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 7.816 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 7.816 * * [simplify]: iters left: 6 (9 enodes) 7.818 * * [simplify]: iters left: 5 (30 enodes) 7.823 * * [simplify]: iters left: 4 (34 enodes) 7.828 * * [simplify]: iters left: 3 (39 enodes) 7.833 * * [simplify]: iters left: 2 (44 enodes) 7.839 * * [simplify]: iters left: 1 (52 enodes) 7.847 * * [simplify]: Extracting #0: cost 1 inf + 0 7.847 * * [simplify]: Extracting #1: cost 9 inf + 0 7.847 * * [simplify]: Extracting #2: cost 15 inf + 1 7.847 * * [simplify]: Extracting #3: cost 17 inf + 2 7.848 * * [simplify]: Extracting #4: cost 18 inf + 114 7.848 * * [simplify]: Extracting #5: cost 15 inf + 601 7.848 * * [simplify]: Extracting #6: cost 7 inf + 1413 7.848 * * [simplify]: Extracting #7: cost 0 inf + 3047 7.849 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 7.849 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 7.849 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 7.849 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 7.850 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 7.850 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 7.850 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.850 * * [simplify]: iters left: 6 (9 enodes) 7.852 * * [simplify]: iters left: 5 (29 enodes) 7.857 * * [simplify]: Extracting #0: cost 1 inf + 0 7.857 * * [simplify]: Extracting #1: cost 4 inf + 0 7.857 * * [simplify]: Extracting #2: cost 8 inf + 0 7.857 * * [simplify]: Extracting #3: cost 9 inf + 1 7.857 * * [simplify]: Extracting #4: cost 11 inf + 42 7.857 * * [simplify]: Extracting #5: cost 12 inf + 124 7.858 * * [simplify]: Extracting #6: cost 8 inf + 248 7.858 * * [simplify]: Extracting #7: cost 5 inf + 654 7.858 * * [simplify]: Extracting #8: cost 2 inf + 1300 7.859 * * [simplify]: Extracting #9: cost 0 inf + 1784 7.860 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 7.860 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.860 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.860 * * [simplify]: iters left: 6 (9 enodes) 7.864 * * [simplify]: iters left: 5 (30 enodes) 7.872 * * [simplify]: iters left: 4 (33 enodes) 7.881 * * [simplify]: Extracting #0: cost 1 inf + 0 7.881 * * [simplify]: Extracting #1: cost 5 inf + 0 7.882 * * [simplify]: Extracting #2: cost 10 inf + 0 7.882 * * [simplify]: Extracting #3: cost 11 inf + 1 7.882 * * [simplify]: Extracting #4: cost 10 inf + 245 7.882 * * [simplify]: Extracting #5: cost 12 inf + 286 7.882 * * [simplify]: Extracting #6: cost 8 inf + 410 7.882 * * [simplify]: Extracting #7: cost 6 inf + 694 7.883 * * [simplify]: Extracting #8: cost 1 inf + 1744 7.884 * * [simplify]: Extracting #9: cost 0 inf + 1946 7.884 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.884 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.885 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 7.885 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.885 * * [simplify]: iters left: 6 (9 enodes) 7.889 * * [simplify]: iters left: 5 (29 enodes) 7.896 * * [simplify]: Extracting #0: cost 1 inf + 0 7.896 * * [simplify]: Extracting #1: cost 4 inf + 0 7.896 * * [simplify]: Extracting #2: cost 8 inf + 0 7.897 * * [simplify]: Extracting #3: cost 9 inf + 1 7.897 * * [simplify]: Extracting #4: cost 11 inf + 42 7.897 * * [simplify]: Extracting #5: cost 12 inf + 124 7.897 * * [simplify]: Extracting #6: cost 8 inf + 248 7.897 * * [simplify]: Extracting #7: cost 5 inf + 654 7.898 * * [simplify]: Extracting #8: cost 2 inf + 1300 7.898 * * [simplify]: Extracting #9: cost 0 inf + 1784 7.899 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 7.899 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.899 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.899 * * [simplify]: iters left: 6 (9 enodes) 7.903 * * [simplify]: iters left: 5 (30 enodes) 7.911 * * [simplify]: iters left: 4 (33 enodes) 7.920 * * [simplify]: Extracting #0: cost 1 inf + 0 7.920 * * [simplify]: Extracting #1: cost 5 inf + 0 7.920 * * [simplify]: Extracting #2: cost 10 inf + 0 7.920 * * [simplify]: Extracting #3: cost 11 inf + 1 7.920 * * [simplify]: Extracting #4: cost 10 inf + 245 7.920 * * [simplify]: Extracting #5: cost 12 inf + 286 7.920 * * [simplify]: Extracting #6: cost 8 inf + 410 7.921 * * [simplify]: Extracting #7: cost 6 inf + 694 7.921 * * [simplify]: Extracting #8: cost 1 inf + 1744 7.922 * * [simplify]: Extracting #9: cost 0 inf + 1946 7.923 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 7.923 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 7.923 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 7.923 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 7.923 * * [simplify]: iters left: 6 (7 enodes) 7.926 * * [simplify]: iters left: 5 (24 enodes) 7.933 * * [simplify]: iters left: 4 (27 enodes) 7.942 * * [simplify]: Extracting #0: cost 1 inf + 0 7.942 * * [simplify]: Extracting #1: cost 5 inf + 0 7.942 * * [simplify]: Extracting #2: cost 7 inf + 1 7.942 * * [simplify]: Extracting #3: cost 8 inf + 83 7.942 * * [simplify]: Extracting #4: cost 10 inf + 124 7.942 * * [simplify]: Extracting #5: cost 6 inf + 248 7.943 * * [simplify]: Extracting #6: cost 3 inf + 654 7.943 * * [simplify]: Extracting #7: cost 1 inf + 1018 7.943 * * [simplify]: Extracting #8: cost 0 inf + 1220 7.944 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 7.944 * [simplify]: Simplified (2 2 2 1 2) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 7.944 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 7.944 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.944 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 7.945 * [simplify]: Simplifying im 7.945 * * [simplify]: iters left: 0 (1 enodes) 7.945 * * [simplify]: Extracting #0: cost 1 inf + 0 7.945 * * [simplify]: Extracting #1: cost 0 inf + 1 7.945 * [simplify]: Simplified to im 7.945 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 7.945 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 7.946 * [simplify]: Simplifying re 7.946 * * [simplify]: iters left: 0 (1 enodes) 7.946 * * [simplify]: Extracting #0: cost 1 inf + 0 7.946 * * [simplify]: Extracting #1: cost 0 inf + 1 7.946 * [simplify]: Simplified to re 7.946 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- re re))))) 7.946 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 7.947 * [simplify]: Simplifying (* -1 re) 7.947 * * [simplify]: iters left: 2 (3 enodes) 7.949 * * [simplify]: iters left: 1 (11 enodes) 7.952 * * [simplify]: Extracting #0: cost 1 inf + 0 7.952 * * [simplify]: Extracting #1: cost 4 inf + 0 7.952 * * [simplify]: Extracting #2: cost 0 inf + 84 7.952 * [simplify]: Simplified to (- re) 7.952 * [simplify]: Simplified (2 2 2 1 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (- re) re))))) 7.953 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 7.953 * [simplify]: Simplifying (* (sqrt 2.0) im) 7.953 * * [simplify]: iters left: 3 (4 enodes) 7.955 * * [simplify]: iters left: 2 (13 enodes) 7.959 * * [simplify]: Extracting #0: cost 1 inf + 0 7.959 * * [simplify]: Extracting #1: cost 4 inf + 0 7.960 * * [simplify]: Extracting #2: cost 5 inf + 1 7.960 * * [simplify]: Extracting #3: cost 4 inf + 2 7.960 * * [simplify]: Extracting #4: cost 0 inf + 248 7.960 * [simplify]: Simplified to (* im (sqrt 2.0)) 7.960 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.960 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 7.960 * [simplify]: Simplifying (* (sqrt 2.0) im) 7.960 * * [simplify]: iters left: 3 (4 enodes) 7.963 * * [simplify]: iters left: 2 (13 enodes) 7.967 * * [simplify]: Extracting #0: cost 1 inf + 0 7.967 * * [simplify]: Extracting #1: cost 4 inf + 0 7.967 * * [simplify]: Extracting #2: cost 5 inf + 1 7.967 * * [simplify]: Extracting #3: cost 4 inf + 2 7.967 * * [simplify]: Extracting #4: cost 0 inf + 248 7.967 * [simplify]: Simplified to (* im (sqrt 2.0)) 7.967 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* im (sqrt 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 7.968 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 7.968 * [simplify]: Simplifying (* -1 (* (sqrt 2.0) im)) 7.968 * * [simplify]: iters left: 5 (6 enodes) 7.972 * * [simplify]: iters left: 4 (23 enodes) 7.980 * * [simplify]: iters left: 3 (36 enodes) 7.991 * * [simplify]: iters left: 2 (41 enodes) 8.002 * * [simplify]: Extracting #0: cost 1 inf + 0 8.002 * * [simplify]: Extracting #1: cost 8 inf + 0 8.002 * * [simplify]: Extracting #2: cost 10 inf + 43 8.002 * * [simplify]: Extracting #3: cost 8 inf + 85 8.002 * * [simplify]: Extracting #4: cost 2 inf + 534 8.003 * * [simplify]: Extracting #5: cost 0 inf + 737 8.003 * [simplify]: Simplified to (- (* (sqrt 2.0) im)) 8.003 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (- (* (sqrt 2.0) im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 8.003 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 8.004 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 8.004 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.004 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 8.004 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 8.004 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.005 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 8.005 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 8.005 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.005 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 8.005 * [simplify]: Simplifying (- im re) 8.005 * * [simplify]: iters left: 2 (3 enodes) 8.007 * * [simplify]: iters left: 1 (11 enodes) 8.009 * * [simplify]: Extracting #0: cost 1 inf + 0 8.010 * * [simplify]: Extracting #1: cost 5 inf + 0 8.010 * * [simplify]: Extracting #2: cost 3 inf + 43 8.010 * * [simplify]: Extracting #3: cost 0 inf + 168 8.010 * [simplify]: Simplified to (- im re) 8.010 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- im re))))) 8.010 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 8.010 * [simplify]: Simplifying 0 8.010 * * [simplify]: iters left: 0 (1 enodes) 8.011 * * [simplify]: Extracting #0: cost 1 inf + 0 8.011 * * [simplify]: Extracting #1: cost 0 inf + 1 8.011 * [simplify]: Simplified to 0 8.011 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt 0)))) 8.012 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 8.012 * [simplify]: Simplifying (* -2 re) 8.012 * * [simplify]: iters left: 2 (3 enodes) 8.014 * * [simplify]: iters left: 1 (10 enodes) 8.016 * * [simplify]: Extracting #0: cost 1 inf + 0 8.017 * * [simplify]: Extracting #1: cost 4 inf + 0 8.017 * * [simplify]: Extracting #2: cost 2 inf + 2 8.017 * * [simplify]: Extracting #3: cost 0 inf + 86 8.017 * [simplify]: Simplified to (* -2 re) 8.017 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (* -2 re))))) 8.017 * * * [progress]: adding candidates to table 9.558 * * [progress]: iteration 3 / 4 9.558 * * * [progress]: picking best candidate 9.588 * * * * [pick]: Picked # 9.588 * * * [progress]: localizing error 9.613 * * * [progress]: generating rewritten candidates 9.613 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 9.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 9.697 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.746 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 9.784 * * * [progress]: generating series expansions 9.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 9.784 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 9.784 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 9.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.784 * [taylor]: Taking taylor expansion of im in im 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 1 into 1 9.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.784 * [taylor]: Taking taylor expansion of re in im 9.784 * [backup-simplify]: Simplify re into re 9.784 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.784 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.784 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.784 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.785 * [backup-simplify]: Simplify (+ 0 0) into 0 9.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.785 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.785 * [taylor]: Taking taylor expansion of im in re 9.785 * [backup-simplify]: Simplify im into im 9.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.785 * [taylor]: Taking taylor expansion of re in re 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.785 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.785 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.786 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.786 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.786 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.786 * [taylor]: Taking taylor expansion of im in re 9.786 * [backup-simplify]: Simplify im into im 9.786 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.786 * [taylor]: Taking taylor expansion of re in re 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.786 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.786 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.786 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.786 * [backup-simplify]: Simplify (+ 0 0) into 0 9.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.786 * [taylor]: Taking taylor expansion of im in im 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [backup-simplify]: Simplify 1 into 1 9.786 * [backup-simplify]: Simplify 0 into 0 9.786 * [taylor]: Taking taylor expansion of 0 in im 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.787 * [backup-simplify]: Simplify (* 1 1) into 1 9.787 * [backup-simplify]: Simplify (+ 0 1) into 1 9.788 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.788 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.788 * [taylor]: Taking taylor expansion of 1/2 in im 9.788 * [backup-simplify]: Simplify 1/2 into 1/2 9.788 * [taylor]: Taking taylor expansion of im in im 9.788 * [backup-simplify]: Simplify 0 into 0 9.788 * [backup-simplify]: Simplify 1 into 1 9.788 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify 0 into 0 9.789 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.790 * [backup-simplify]: Simplify (+ 0 0) into 0 9.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.790 * [taylor]: Taking taylor expansion of 0 in im 9.790 * [backup-simplify]: Simplify 0 into 0 9.790 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.791 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.791 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.791 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.791 * [taylor]: Taking taylor expansion of re in im 9.791 * [backup-simplify]: Simplify re into re 9.791 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.791 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.791 * [taylor]: Taking taylor expansion of im in im 9.791 * [backup-simplify]: Simplify 0 into 0 9.791 * [backup-simplify]: Simplify 1 into 1 9.792 * [backup-simplify]: Simplify (* 1 1) into 1 9.792 * [backup-simplify]: Simplify (/ 1 1) into 1 9.792 * [backup-simplify]: Simplify (+ 0 1) into 1 9.792 * [backup-simplify]: Simplify (sqrt 1) into 1 9.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.793 * [backup-simplify]: Simplify (+ 0 0) into 0 9.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.794 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.794 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.794 * [taylor]: Taking taylor expansion of re in re 9.794 * [backup-simplify]: Simplify 0 into 0 9.794 * [backup-simplify]: Simplify 1 into 1 9.794 * [backup-simplify]: Simplify (* 1 1) into 1 9.794 * [backup-simplify]: Simplify (/ 1 1) into 1 9.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.794 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.794 * [taylor]: Taking taylor expansion of im in re 9.794 * [backup-simplify]: Simplify im into im 9.794 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.794 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.795 * [backup-simplify]: Simplify (+ 1 0) into 1 9.795 * [backup-simplify]: Simplify (sqrt 1) into 1 9.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.796 * [backup-simplify]: Simplify (+ 0 0) into 0 9.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.797 * [taylor]: Taking taylor expansion of re in re 9.797 * [backup-simplify]: Simplify 0 into 0 9.797 * [backup-simplify]: Simplify 1 into 1 9.797 * [backup-simplify]: Simplify (* 1 1) into 1 9.797 * [backup-simplify]: Simplify (/ 1 1) into 1 9.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.797 * [taylor]: Taking taylor expansion of im in re 9.797 * [backup-simplify]: Simplify im into im 9.797 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.797 * [backup-simplify]: Simplify (+ 1 0) into 1 9.798 * [backup-simplify]: Simplify (sqrt 1) into 1 9.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.799 * [backup-simplify]: Simplify (+ 0 0) into 0 9.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.799 * [taylor]: Taking taylor expansion of 1 in im 9.799 * [backup-simplify]: Simplify 1 into 1 9.799 * [taylor]: Taking taylor expansion of 0 in im 9.799 * [backup-simplify]: Simplify 0 into 0 9.799 * [backup-simplify]: Simplify 1 into 1 9.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.801 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.801 * [taylor]: Taking taylor expansion of 1/2 in im 9.801 * [backup-simplify]: Simplify 1/2 into 1/2 9.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.801 * [taylor]: Taking taylor expansion of im in im 9.801 * [backup-simplify]: Simplify 0 into 0 9.801 * [backup-simplify]: Simplify 1 into 1 9.801 * [backup-simplify]: Simplify (* 1 1) into 1 9.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 0 into 0 9.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.805 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.806 * [backup-simplify]: Simplify (+ 0 0) into 0 9.806 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.806 * [taylor]: Taking taylor expansion of 0 in im 9.806 * [backup-simplify]: Simplify 0 into 0 9.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.808 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.809 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.809 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.809 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.809 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.809 * [taylor]: Taking taylor expansion of re in im 9.809 * [backup-simplify]: Simplify re into re 9.809 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.809 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.809 * [taylor]: Taking taylor expansion of im in im 9.809 * [backup-simplify]: Simplify 0 into 0 9.809 * [backup-simplify]: Simplify 1 into 1 9.810 * [backup-simplify]: Simplify (* 1 1) into 1 9.810 * [backup-simplify]: Simplify (/ 1 1) into 1 9.810 * [backup-simplify]: Simplify (+ 0 1) into 1 9.811 * [backup-simplify]: Simplify (sqrt 1) into 1 9.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.813 * [backup-simplify]: Simplify (+ 0 0) into 0 9.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.813 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.813 * [taylor]: Taking taylor expansion of re in re 9.813 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.814 * [backup-simplify]: Simplify (* 1 1) into 1 9.814 * [backup-simplify]: Simplify (/ 1 1) into 1 9.814 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.814 * [taylor]: Taking taylor expansion of im in re 9.814 * [backup-simplify]: Simplify im into im 9.814 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.815 * [backup-simplify]: Simplify (+ 1 0) into 1 9.815 * [backup-simplify]: Simplify (sqrt 1) into 1 9.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.817 * [backup-simplify]: Simplify (+ 0 0) into 0 9.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.818 * [taylor]: Taking taylor expansion of re in re 9.818 * [backup-simplify]: Simplify 0 into 0 9.818 * [backup-simplify]: Simplify 1 into 1 9.818 * [backup-simplify]: Simplify (* 1 1) into 1 9.819 * [backup-simplify]: Simplify (/ 1 1) into 1 9.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.819 * [taylor]: Taking taylor expansion of im in re 9.819 * [backup-simplify]: Simplify im into im 9.819 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.819 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.819 * [backup-simplify]: Simplify (+ 1 0) into 1 9.820 * [backup-simplify]: Simplify (sqrt 1) into 1 9.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.821 * [backup-simplify]: Simplify (+ 0 0) into 0 9.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.822 * [taylor]: Taking taylor expansion of 1 in im 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [taylor]: Taking taylor expansion of 0 in im 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.824 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.826 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.826 * [taylor]: Taking taylor expansion of 1/2 in im 9.826 * [backup-simplify]: Simplify 1/2 into 1/2 9.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.826 * [taylor]: Taking taylor expansion of im in im 9.826 * [backup-simplify]: Simplify 0 into 0 9.826 * [backup-simplify]: Simplify 1 into 1 9.826 * [backup-simplify]: Simplify (* 1 1) into 1 9.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.828 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify 0 into 0 9.828 * [backup-simplify]: Simplify 0 into 0 9.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.830 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.831 * [backup-simplify]: Simplify (+ 0 0) into 0 9.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.832 * [taylor]: Taking taylor expansion of 0 in im 9.832 * [backup-simplify]: Simplify 0 into 0 9.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.834 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.834 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 9.834 * [backup-simplify]: Simplify (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) 9.834 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (im re) around 0 9.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 9.834 * [taylor]: Taking taylor expansion of 2.0 in re 9.834 * [backup-simplify]: Simplify 2.0 into 2.0 9.834 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 9.834 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.834 * [taylor]: Taking taylor expansion of im in re 9.834 * [backup-simplify]: Simplify im into im 9.834 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.834 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.835 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.835 * [taylor]: Taking taylor expansion of im in re 9.835 * [backup-simplify]: Simplify im into im 9.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.835 * [taylor]: Taking taylor expansion of re in re 9.835 * [backup-simplify]: Simplify 0 into 0 9.835 * [backup-simplify]: Simplify 1 into 1 9.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.835 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.835 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.835 * [backup-simplify]: Simplify (+ 0 0) into 0 9.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.836 * [taylor]: Taking taylor expansion of re in re 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.836 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.836 * [backup-simplify]: Simplify (- 0) into 0 9.836 * [backup-simplify]: Simplify (+ im 0) into im 9.836 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 9.836 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.836 * [taylor]: Taking taylor expansion of 2.0 in im 9.836 * [backup-simplify]: Simplify 2.0 into 2.0 9.836 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.836 * [taylor]: Taking taylor expansion of im in im 9.836 * [backup-simplify]: Simplify 0 into 0 9.836 * [backup-simplify]: Simplify 1 into 1 9.836 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.836 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.837 * [taylor]: Taking taylor expansion of im in im 9.837 * [backup-simplify]: Simplify 0 into 0 9.837 * [backup-simplify]: Simplify 1 into 1 9.837 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.837 * [taylor]: Taking taylor expansion of re in im 9.837 * [backup-simplify]: Simplify re into re 9.837 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.837 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.837 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.837 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.837 * [backup-simplify]: Simplify (+ 0 0) into 0 9.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.837 * [taylor]: Taking taylor expansion of re in im 9.837 * [backup-simplify]: Simplify re into re 9.838 * [backup-simplify]: Simplify (* 1 1) into 1 9.838 * [backup-simplify]: Simplify (- re) into (- re) 9.838 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.838 * [backup-simplify]: Simplify (- 0) into 0 9.839 * [backup-simplify]: Simplify (+ 0 0) into 0 9.839 * [backup-simplify]: Simplify (* 1 1) into 1 9.839 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.840 * [backup-simplify]: Simplify (+ 1 0) into 1 9.841 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.841 * [backup-simplify]: Simplify (- 0) into 0 9.841 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.841 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.841 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.841 * [taylor]: Taking taylor expansion of 2.0 in im 9.842 * [backup-simplify]: Simplify 2.0 into 2.0 9.842 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.842 * [taylor]: Taking taylor expansion of im in im 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.842 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.842 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.842 * [taylor]: Taking taylor expansion of im in im 9.842 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify 1 into 1 9.842 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.842 * [taylor]: Taking taylor expansion of re in im 9.842 * [backup-simplify]: Simplify re into re 9.842 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.842 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.842 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.842 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.843 * [backup-simplify]: Simplify (+ 0 0) into 0 9.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.843 * [taylor]: Taking taylor expansion of re in im 9.843 * [backup-simplify]: Simplify re into re 9.843 * [backup-simplify]: Simplify (* 1 1) into 1 9.843 * [backup-simplify]: Simplify (- re) into (- re) 9.843 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.844 * [backup-simplify]: Simplify (- 0) into 0 9.844 * [backup-simplify]: Simplify (+ 0 0) into 0 9.844 * [backup-simplify]: Simplify (* 1 1) into 1 9.845 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.845 * [backup-simplify]: Simplify (+ 1 0) into 1 9.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.846 * [backup-simplify]: Simplify (- 0) into 0 9.846 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.847 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.847 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 9.847 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 9.847 * [taylor]: Taking taylor expansion of 4.0 in re 9.847 * [backup-simplify]: Simplify 4.0 into 4.0 9.847 * [taylor]: Taking taylor expansion of re in re 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify 1 into 1 9.847 * [backup-simplify]: Simplify (* 4.0 0) into 0 9.847 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.849 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.850 * [backup-simplify]: Simplify (+ 0 0) into 0 9.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.850 * [backup-simplify]: Simplify (- 0) into 0 9.851 * [backup-simplify]: Simplify (+ 0 0) into 0 9.851 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.851 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 9.852 * [taylor]: Taking taylor expansion of 0 in re 9.852 * [backup-simplify]: Simplify 0 into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 9.853 * [backup-simplify]: Simplify 4.0 into 4.0 9.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.858 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 9.859 * [backup-simplify]: Simplify (+ 0 0) into 0 9.859 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 9.860 * [backup-simplify]: Simplify (- 0) into 0 9.860 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 9.860 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 9.861 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re)))) into (* 1.0 (/ 1 re)) 9.861 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 9.861 * [taylor]: Taking taylor expansion of 1.0 in re 9.861 * [backup-simplify]: Simplify 1.0 into 1.0 9.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.861 * [taylor]: Taking taylor expansion of re in re 9.861 * [backup-simplify]: Simplify 0 into 0 9.861 * [backup-simplify]: Simplify 1 into 1 9.861 * [backup-simplify]: Simplify (/ 1 1) into 1 9.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.862 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.862 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 9.863 * [backup-simplify]: Simplify 0 into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.865 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 9.865 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 9.866 * [backup-simplify]: Simplify (- 0) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.867 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re))))) into 0 9.867 * [taylor]: Taking taylor expansion of 0 in re 9.867 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.868 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.868 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify (* 4.0 (* re 1)) into (* 4.0 re) 9.868 * [backup-simplify]: Simplify (/ (* 2.0 (* (/ 1 im) (/ 1 im))) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 9.868 * [approximate]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 9.868 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 9.868 * [taylor]: Taking taylor expansion of 2.0 in re 9.868 * [backup-simplify]: Simplify 2.0 into 2.0 9.868 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.868 * [taylor]: Taking taylor expansion of im in re 9.868 * [backup-simplify]: Simplify im into im 9.869 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.869 * [taylor]: Taking taylor expansion of re in re 9.869 * [backup-simplify]: Simplify 0 into 0 9.869 * [backup-simplify]: Simplify 1 into 1 9.869 * [backup-simplify]: Simplify (* 1 1) into 1 9.869 * [backup-simplify]: Simplify (/ 1 1) into 1 9.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.869 * [taylor]: Taking taylor expansion of im in re 9.869 * [backup-simplify]: Simplify im into im 9.869 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.870 * [backup-simplify]: Simplify (+ 1 0) into 1 9.870 * [backup-simplify]: Simplify (sqrt 1) into 1 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.871 * [backup-simplify]: Simplify (+ 0 0) into 0 9.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.871 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.871 * [taylor]: Taking taylor expansion of re in re 9.871 * [backup-simplify]: Simplify 0 into 0 9.871 * [backup-simplify]: Simplify 1 into 1 9.871 * [backup-simplify]: Simplify (/ 1 1) into 1 9.872 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.872 * [backup-simplify]: Simplify (- 1) into -1 9.872 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.872 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 9.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.873 * [backup-simplify]: Simplify (- 0) into 0 9.873 * [backup-simplify]: Simplify (+ 0 0) into 0 9.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.873 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 9.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.874 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.876 * [backup-simplify]: Simplify (- 0) into 0 9.876 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.876 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.877 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 9.877 * [backup-simplify]: Simplify (/ 2.0 1/2) into 4.0 9.877 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.877 * [taylor]: Taking taylor expansion of 2.0 in im 9.877 * [backup-simplify]: Simplify 2.0 into 2.0 9.877 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.877 * [taylor]: Taking taylor expansion of im in im 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.877 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.877 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.877 * [taylor]: Taking taylor expansion of re in im 9.877 * [backup-simplify]: Simplify re into re 9.877 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.877 * [taylor]: Taking taylor expansion of im in im 9.877 * [backup-simplify]: Simplify 0 into 0 9.877 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (* 1 1) into 1 9.878 * [backup-simplify]: Simplify (/ 1 1) into 1 9.878 * [backup-simplify]: Simplify (+ 0 1) into 1 9.878 * [backup-simplify]: Simplify (sqrt 1) into 1 9.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.879 * [backup-simplify]: Simplify (+ 0 0) into 0 9.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.880 * [taylor]: Taking taylor expansion of re in im 9.880 * [backup-simplify]: Simplify re into re 9.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.880 * [backup-simplify]: Simplify (* 1 1) into 1 9.880 * [backup-simplify]: Simplify (+ 1 0) into 1 9.881 * [backup-simplify]: Simplify (* 1 1) into 1 9.881 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.881 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.881 * [taylor]: Taking taylor expansion of 2.0 in im 9.881 * [backup-simplify]: Simplify 2.0 into 2.0 9.881 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.881 * [taylor]: Taking taylor expansion of im in im 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.881 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.881 * [taylor]: Taking taylor expansion of re in im 9.881 * [backup-simplify]: Simplify re into re 9.881 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.881 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.881 * [taylor]: Taking taylor expansion of im in im 9.881 * [backup-simplify]: Simplify 0 into 0 9.881 * [backup-simplify]: Simplify 1 into 1 9.881 * [backup-simplify]: Simplify (* 1 1) into 1 9.882 * [backup-simplify]: Simplify (/ 1 1) into 1 9.882 * [backup-simplify]: Simplify (+ 0 1) into 1 9.882 * [backup-simplify]: Simplify (sqrt 1) into 1 9.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.883 * [backup-simplify]: Simplify (+ 0 0) into 0 9.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.884 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.884 * [taylor]: Taking taylor expansion of re in im 9.884 * [backup-simplify]: Simplify re into re 9.884 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.884 * [backup-simplify]: Simplify (* 1 1) into 1 9.884 * [backup-simplify]: Simplify (+ 1 0) into 1 9.884 * [backup-simplify]: Simplify (* 1 1) into 1 9.885 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.885 * [taylor]: Taking taylor expansion of 2.0 in re 9.885 * [backup-simplify]: Simplify 2.0 into 2.0 9.885 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.885 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.886 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 9.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (- (/ 1 re)) 1)))) into (* 2.0 (/ 1 re)) 9.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 9.886 * [taylor]: Taking taylor expansion of 2.0 in re 9.886 * [backup-simplify]: Simplify 2.0 into 2.0 9.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.886 * [taylor]: Taking taylor expansion of re in re 9.886 * [backup-simplify]: Simplify 0 into 0 9.886 * [backup-simplify]: Simplify 1 into 1 9.886 * [backup-simplify]: Simplify (/ 1 1) into 1 9.887 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 9.887 * [backup-simplify]: Simplify 2.0 into 2.0 9.887 * [backup-simplify]: Simplify 2.0 into 2.0 9.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.888 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.888 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.889 * [backup-simplify]: Simplify (- 0) into 0 9.889 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.890 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 9.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 2.0 (/ 1 re)) (/ (- (/ 1 re)) 1)))) into (* 1.0 (/ 1 (pow re 2))) 9.890 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 9.890 * [taylor]: Taking taylor expansion of 1.0 in re 9.890 * [backup-simplify]: Simplify 1.0 into 1.0 9.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.890 * [taylor]: Taking taylor expansion of re in re 9.890 * [backup-simplify]: Simplify 0 into 0 9.890 * [backup-simplify]: Simplify 1 into 1 9.891 * [backup-simplify]: Simplify (* 1 1) into 1 9.891 * [backup-simplify]: Simplify (/ 1 1) into 1 9.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.892 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 9.892 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.893 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify 0 into 0 9.893 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 9.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.895 * [backup-simplify]: Simplify (+ 0 0) into 0 9.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 9.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 9.896 * [backup-simplify]: Simplify (- 0) into 0 9.897 * [backup-simplify]: Simplify (+ 0 0) into 0 9.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* (* 2.0 (/ 1 re)) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1.0 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 9.900 * [taylor]: Taking taylor expansion of 0 in re 9.900 * [backup-simplify]: Simplify 0 into 0 9.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.903 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 9.903 * [backup-simplify]: Simplify 0 into 0 9.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.905 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify 0 into 0 9.906 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 im)))) (* 2.0 (* (/ 1 (/ 1 re)) 1))) into (+ (* 2.0 re) (* 2.0 im)) 9.906 * [backup-simplify]: Simplify (/ (* 2.0 (* (/ 1 (- im)) (/ 1 (- im)))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 9.906 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 9.906 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 9.906 * [taylor]: Taking taylor expansion of 2.0 in re 9.907 * [backup-simplify]: Simplify 2.0 into 2.0 9.907 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 9.907 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.907 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.907 * [taylor]: Taking taylor expansion of re in re 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.907 * [backup-simplify]: Simplify (/ 1 1) into 1 9.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.907 * [taylor]: Taking taylor expansion of re in re 9.907 * [backup-simplify]: Simplify 0 into 0 9.907 * [backup-simplify]: Simplify 1 into 1 9.908 * [backup-simplify]: Simplify (* 1 1) into 1 9.908 * [backup-simplify]: Simplify (/ 1 1) into 1 9.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.908 * [taylor]: Taking taylor expansion of im in re 9.908 * [backup-simplify]: Simplify im into im 9.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.908 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.909 * [backup-simplify]: Simplify (+ 1 0) into 1 9.909 * [backup-simplify]: Simplify (sqrt 1) into 1 9.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.911 * [backup-simplify]: Simplify (+ 0 0) into 0 9.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.911 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.912 * [taylor]: Taking taylor expansion of im in re 9.912 * [backup-simplify]: Simplify im into im 9.912 * [backup-simplify]: Simplify (+ 1 1) into 2 9.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.912 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 9.912 * [backup-simplify]: Simplify (/ 2.0 (* 2 (pow im 2))) into (/ 1.0 (pow im 2)) 9.912 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 9.912 * [taylor]: Taking taylor expansion of 2.0 in im 9.912 * [backup-simplify]: Simplify 2.0 into 2.0 9.912 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 9.912 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.912 * [taylor]: Taking taylor expansion of re in im 9.912 * [backup-simplify]: Simplify re into re 9.913 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.913 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.913 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.913 * [taylor]: Taking taylor expansion of re in im 9.913 * [backup-simplify]: Simplify re into re 9.913 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.913 * [taylor]: Taking taylor expansion of im in im 9.913 * [backup-simplify]: Simplify 0 into 0 9.913 * [backup-simplify]: Simplify 1 into 1 9.913 * [backup-simplify]: Simplify (* 1 1) into 1 9.914 * [backup-simplify]: Simplify (/ 1 1) into 1 9.914 * [backup-simplify]: Simplify (+ 0 1) into 1 9.915 * [backup-simplify]: Simplify (sqrt 1) into 1 9.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.917 * [backup-simplify]: Simplify (+ 0 0) into 0 9.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.917 * [taylor]: Taking taylor expansion of im in im 9.917 * [backup-simplify]: Simplify 0 into 0 9.917 * [backup-simplify]: Simplify 1 into 1 9.918 * [backup-simplify]: Simplify (+ 0 1) into 1 9.918 * [backup-simplify]: Simplify (* 1 1) into 1 9.919 * [backup-simplify]: Simplify (* 1 1) into 1 9.919 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.919 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 9.919 * [taylor]: Taking taylor expansion of 2.0 in im 9.919 * [backup-simplify]: Simplify 2.0 into 2.0 9.919 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 9.919 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.919 * [taylor]: Taking taylor expansion of re in im 9.919 * [backup-simplify]: Simplify re into re 9.919 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.919 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.919 * [taylor]: Taking taylor expansion of re in im 9.919 * [backup-simplify]: Simplify re into re 9.920 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.920 * [taylor]: Taking taylor expansion of im in im 9.920 * [backup-simplify]: Simplify 0 into 0 9.920 * [backup-simplify]: Simplify 1 into 1 9.920 * [backup-simplify]: Simplify (* 1 1) into 1 9.920 * [backup-simplify]: Simplify (/ 1 1) into 1 9.921 * [backup-simplify]: Simplify (+ 0 1) into 1 9.921 * [backup-simplify]: Simplify (sqrt 1) into 1 9.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.923 * [backup-simplify]: Simplify (+ 0 0) into 0 9.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.924 * [taylor]: Taking taylor expansion of im in im 9.924 * [backup-simplify]: Simplify 0 into 0 9.924 * [backup-simplify]: Simplify 1 into 1 9.924 * [backup-simplify]: Simplify (+ 0 1) into 1 9.925 * [backup-simplify]: Simplify (* 1 1) into 1 9.925 * [backup-simplify]: Simplify (* 1 1) into 1 9.925 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 9.926 * [taylor]: Taking taylor expansion of 2.0 in re 9.926 * [backup-simplify]: Simplify 2.0 into 2.0 9.926 * [backup-simplify]: Simplify 0 into 0 9.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.926 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.927 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 9.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (/ 1 re) 1)))) into (- (* 2.0 (/ 1 re))) 9.927 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 9.927 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 9.928 * [taylor]: Taking taylor expansion of 2.0 in re 9.928 * [backup-simplify]: Simplify 2.0 into 2.0 9.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.928 * [taylor]: Taking taylor expansion of re in re 9.928 * [backup-simplify]: Simplify 0 into 0 9.928 * [backup-simplify]: Simplify 1 into 1 9.928 * [backup-simplify]: Simplify (/ 1 1) into 1 9.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.931 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 9.931 * [backup-simplify]: Simplify (- 0) into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.931 * [backup-simplify]: Simplify 0 into 0 9.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.934 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.935 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 9.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (* 2.0 (/ 1 re))) (/ (/ 1 re) 1)))) into (* 1.0 (/ 1 (pow re 2))) 9.937 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 9.937 * [taylor]: Taking taylor expansion of 1.0 in re 9.937 * [backup-simplify]: Simplify 1.0 into 1.0 9.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.937 * [taylor]: Taking taylor expansion of re in re 9.937 * [backup-simplify]: Simplify 0 into 0 9.937 * [backup-simplify]: Simplify 1 into 1 9.937 * [backup-simplify]: Simplify (* 1 1) into 1 9.938 * [backup-simplify]: Simplify (/ 1 1) into 1 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.944 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.944 * [backup-simplify]: Simplify 0 into 0 9.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.946 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.947 * [backup-simplify]: Simplify (- 0) into 0 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * [backup-simplify]: Simplify 0 into 0 9.947 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.947 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 9.947 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 9.948 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 9.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.948 * [taylor]: Taking taylor expansion of 2.0 in re 9.948 * [backup-simplify]: Simplify 2.0 into 2.0 9.948 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.949 * [taylor]: Taking taylor expansion of im in re 9.949 * [backup-simplify]: Simplify im into im 9.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 9.949 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 9.949 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.949 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.949 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.949 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.949 * [taylor]: Taking taylor expansion of im in re 9.949 * [backup-simplify]: Simplify im into im 9.949 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.949 * [taylor]: Taking taylor expansion of re in re 9.949 * [backup-simplify]: Simplify 0 into 0 9.949 * [backup-simplify]: Simplify 1 into 1 9.949 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.950 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.950 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.950 * [backup-simplify]: Simplify (+ 0 0) into 0 9.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.950 * [taylor]: Taking taylor expansion of re in re 9.950 * [backup-simplify]: Simplify 0 into 0 9.950 * [backup-simplify]: Simplify 1 into 1 9.951 * [backup-simplify]: Simplify (- 0) into 0 9.951 * [backup-simplify]: Simplify (+ im 0) into im 9.951 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.951 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.952 * [backup-simplify]: Simplify (- 1) into -1 9.952 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 9.952 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 9.952 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 9.952 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.952 * [taylor]: Taking taylor expansion of 2.0 in im 9.952 * [backup-simplify]: Simplify 2.0 into 2.0 9.953 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.954 * [taylor]: Taking taylor expansion of im in im 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.954 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.954 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.954 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.954 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.954 * [taylor]: Taking taylor expansion of im in im 9.954 * [backup-simplify]: Simplify 0 into 0 9.954 * [backup-simplify]: Simplify 1 into 1 9.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.954 * [taylor]: Taking taylor expansion of re in im 9.954 * [backup-simplify]: Simplify re into re 9.954 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.954 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.954 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.954 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.955 * [backup-simplify]: Simplify (+ 0 0) into 0 9.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.955 * [taylor]: Taking taylor expansion of re in im 9.955 * [backup-simplify]: Simplify re into re 9.955 * [backup-simplify]: Simplify (- re) into (- re) 9.955 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.955 * [backup-simplify]: Simplify (- 0) into 0 9.956 * [backup-simplify]: Simplify (+ 0 0) into 0 9.956 * [backup-simplify]: Simplify (* 1 1) into 1 9.956 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.957 * [backup-simplify]: Simplify (+ 1 0) into 1 9.958 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.958 * [backup-simplify]: Simplify (- 0) into 0 9.958 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.958 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.958 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 9.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.960 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.960 * [backup-simplify]: Simplify (+ 0 0) into 0 9.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.961 * [backup-simplify]: Simplify (- 0) into 0 9.961 * [backup-simplify]: Simplify (+ 0 0) into 0 9.961 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.961 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 9.961 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.961 * [taylor]: Taking taylor expansion of 2.0 in im 9.961 * [backup-simplify]: Simplify 2.0 into 2.0 9.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.963 * [taylor]: Taking taylor expansion of im in im 9.963 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.963 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.963 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.963 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.963 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.963 * [taylor]: Taking taylor expansion of im in im 9.963 * [backup-simplify]: Simplify 0 into 0 9.963 * [backup-simplify]: Simplify 1 into 1 9.963 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.963 * [taylor]: Taking taylor expansion of re in im 9.963 * [backup-simplify]: Simplify re into re 9.963 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.963 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.963 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.963 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.964 * [backup-simplify]: Simplify (+ 0 0) into 0 9.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.964 * [taylor]: Taking taylor expansion of re in im 9.964 * [backup-simplify]: Simplify re into re 9.964 * [backup-simplify]: Simplify (- re) into (- re) 9.964 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.964 * [backup-simplify]: Simplify (- 0) into 0 9.965 * [backup-simplify]: Simplify (+ 0 0) into 0 9.965 * [backup-simplify]: Simplify (* 1 1) into 1 9.966 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.966 * [backup-simplify]: Simplify (+ 1 0) into 1 9.967 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.967 * [backup-simplify]: Simplify (- 0) into 0 9.967 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.967 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.967 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 9.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.969 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.969 * [backup-simplify]: Simplify (+ 0 0) into 0 9.969 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.970 * [backup-simplify]: Simplify (- 0) into 0 9.970 * [backup-simplify]: Simplify (+ 0 0) into 0 9.970 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.971 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.971 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 9.971 * [taylor]: Taking taylor expansion of 0 in re 9.971 * [backup-simplify]: Simplify 0 into 0 9.971 * [backup-simplify]: Simplify 0 into 0 9.973 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.974 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 9.974 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 9.974 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 9.975 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.975 * [taylor]: Taking taylor expansion of 2.0 in re 9.975 * [backup-simplify]: Simplify 2.0 into 2.0 9.975 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.976 * [taylor]: Taking taylor expansion of (sqrt 2) in re 9.976 * [taylor]: Taking taylor expansion of 2 in re 9.976 * [backup-simplify]: Simplify 2 into 2 9.976 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.977 * [taylor]: Taking taylor expansion of (sqrt re) in re 9.977 * [taylor]: Taking taylor expansion of re in re 9.977 * [backup-simplify]: Simplify 0 into 0 9.977 * [backup-simplify]: Simplify 1 into 1 9.977 * [backup-simplify]: Simplify (sqrt 0) into 0 9.981 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.982 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 9.983 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.983 * [backup-simplify]: Simplify 0 into 0 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.985 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 9.985 * [backup-simplify]: Simplify (+ 0 0) into 0 9.986 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 9.986 * [backup-simplify]: Simplify (- 0) into 0 9.987 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 9.987 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 9.988 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 9.989 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.990 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.992 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 9.992 * [taylor]: Taking taylor expansion of 0 in re 9.992 * [backup-simplify]: Simplify 0 into 0 9.992 * [backup-simplify]: Simplify 0 into 0 9.993 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 9.997 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.001 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.001 * [backup-simplify]: Simplify 0 into 0 10.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.004 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 10.004 * [backup-simplify]: Simplify (+ 0 0) into 0 10.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 10.005 * [backup-simplify]: Simplify (- 0) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.005 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 10.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 10.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.009 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 10.012 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 10.012 * [taylor]: Taking taylor expansion of 1/4 in re 10.012 * [backup-simplify]: Simplify 1/4 into 1/4 10.012 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 10.012 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 10.012 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.012 * [taylor]: Taking taylor expansion of 2.0 in re 10.012 * [backup-simplify]: Simplify 2.0 into 2.0 10.013 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.013 * [taylor]: Taking taylor expansion of (sqrt 2) in re 10.013 * [taylor]: Taking taylor expansion of 2 in re 10.013 * [backup-simplify]: Simplify 2 into 2 10.014 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 10.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 10.016 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 10.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 10.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 10.016 * [taylor]: Taking taylor expansion of (pow re 3) in re 10.016 * [taylor]: Taking taylor expansion of re in re 10.016 * [backup-simplify]: Simplify 0 into 0 10.016 * [backup-simplify]: Simplify 1 into 1 10.016 * [backup-simplify]: Simplify (* 1 1) into 1 10.017 * [backup-simplify]: Simplify (* 1 1) into 1 10.017 * [backup-simplify]: Simplify (/ 1 1) into 1 10.017 * [backup-simplify]: Simplify (sqrt 0) into 0 10.019 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.024 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.025 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 10.026 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.027 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.029 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 10.034 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.037 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.038 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 10.046 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.049 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 10.050 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 10.054 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 10.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.056 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 10.060 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.064 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 10.074 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 10.074 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* (/ 1 im) (/ 1 im))) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 10.074 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 10.074 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 10.074 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.074 * [taylor]: Taking taylor expansion of 2.0 in re 10.074 * [backup-simplify]: Simplify 2.0 into 2.0 10.075 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.076 * [taylor]: Taking taylor expansion of im in re 10.076 * [backup-simplify]: Simplify im into im 10.076 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 10.076 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 10.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.076 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.076 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.076 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.076 * [taylor]: Taking taylor expansion of re in re 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.077 * [backup-simplify]: Simplify (* 1 1) into 1 10.077 * [backup-simplify]: Simplify (/ 1 1) into 1 10.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.077 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.077 * [taylor]: Taking taylor expansion of im in re 10.077 * [backup-simplify]: Simplify im into im 10.077 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.077 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.078 * [backup-simplify]: Simplify (+ 1 0) into 1 10.078 * [backup-simplify]: Simplify (sqrt 1) into 1 10.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (+ 0 0) into 0 10.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.080 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.081 * [taylor]: Taking taylor expansion of re in re 10.081 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 1 into 1 10.081 * [backup-simplify]: Simplify (/ 1 1) into 1 10.081 * [backup-simplify]: Simplify (- 1) into -1 10.082 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.083 * [backup-simplify]: Simplify (- 0) into 0 10.083 * [backup-simplify]: Simplify (+ 0 0) into 0 10.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.085 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.086 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.087 * [backup-simplify]: Simplify (- 0) into 0 10.088 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.088 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 10.088 * [backup-simplify]: Simplify (sqrt 0) into 0 10.089 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 10.089 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 10.089 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.089 * [taylor]: Taking taylor expansion of 2.0 in im 10.089 * [backup-simplify]: Simplify 2.0 into 2.0 10.089 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.090 * [taylor]: Taking taylor expansion of im in im 10.090 * [backup-simplify]: Simplify 0 into 0 10.090 * [backup-simplify]: Simplify 1 into 1 10.091 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 10.091 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.091 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.091 * [taylor]: Taking taylor expansion of re in im 10.091 * [backup-simplify]: Simplify re into re 10.091 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.091 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.092 * [taylor]: Taking taylor expansion of im in im 10.092 * [backup-simplify]: Simplify 0 into 0 10.092 * [backup-simplify]: Simplify 1 into 1 10.092 * [backup-simplify]: Simplify (* 1 1) into 1 10.092 * [backup-simplify]: Simplify (/ 1 1) into 1 10.093 * [backup-simplify]: Simplify (+ 0 1) into 1 10.093 * [backup-simplify]: Simplify (sqrt 1) into 1 10.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.094 * [backup-simplify]: Simplify (+ 0 0) into 0 10.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.095 * [taylor]: Taking taylor expansion of re in im 10.095 * [backup-simplify]: Simplify re into re 10.095 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.095 * [backup-simplify]: Simplify (+ 1 0) into 1 10.095 * [backup-simplify]: Simplify (/ 1 1) into 1 10.096 * [backup-simplify]: Simplify (sqrt 0) into 0 10.097 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.097 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 10.097 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.097 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.097 * [taylor]: Taking taylor expansion of 2.0 in im 10.097 * [backup-simplify]: Simplify 2.0 into 2.0 10.097 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.097 * [taylor]: Taking taylor expansion of im in im 10.097 * [backup-simplify]: Simplify 0 into 0 10.097 * [backup-simplify]: Simplify 1 into 1 10.098 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 10.098 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 10.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.098 * [taylor]: Taking taylor expansion of re in im 10.098 * [backup-simplify]: Simplify re into re 10.098 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.098 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.098 * [taylor]: Taking taylor expansion of im in im 10.098 * [backup-simplify]: Simplify 0 into 0 10.098 * [backup-simplify]: Simplify 1 into 1 10.099 * [backup-simplify]: Simplify (* 1 1) into 1 10.099 * [backup-simplify]: Simplify (/ 1 1) into 1 10.099 * [backup-simplify]: Simplify (+ 0 1) into 1 10.099 * [backup-simplify]: Simplify (sqrt 1) into 1 10.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.100 * [backup-simplify]: Simplify (+ 0 0) into 0 10.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.101 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.101 * [taylor]: Taking taylor expansion of re in im 10.101 * [backup-simplify]: Simplify re into re 10.101 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.101 * [backup-simplify]: Simplify (+ 1 0) into 1 10.101 * [backup-simplify]: Simplify (/ 1 1) into 1 10.101 * [backup-simplify]: Simplify (sqrt 0) into 0 10.102 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.103 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.103 * [taylor]: Taking taylor expansion of 0 in re 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.104 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.104 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.105 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.105 * [taylor]: Taking taylor expansion of +nan.0 in re 10.105 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.105 * [taylor]: Taking taylor expansion of 2.0 in re 10.105 * [backup-simplify]: Simplify 2.0 into 2.0 10.105 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.105 * [backup-simplify]: Simplify 0 into 0 10.105 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 10.105 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 10.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 10.106 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 10.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.110 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 10.110 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.110 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.110 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.110 * [taylor]: Taking taylor expansion of +nan.0 in re 10.110 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.110 * [taylor]: Taking taylor expansion of 2.0 in re 10.110 * [backup-simplify]: Simplify 2.0 into 2.0 10.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.111 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.111 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.111 * [taylor]: Taking taylor expansion of +nan.0 in re 10.111 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.111 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.111 * [taylor]: Taking taylor expansion of 2.0 in re 10.111 * [backup-simplify]: Simplify 2.0 into 2.0 10.111 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.111 * [taylor]: Taking taylor expansion of re in re 10.111 * [backup-simplify]: Simplify 0 into 0 10.111 * [backup-simplify]: Simplify 1 into 1 10.112 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.112 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.114 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.115 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.116 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.117 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.118 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.118 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.119 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.119 * [backup-simplify]: Simplify 0 into 0 10.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.121 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.122 * [backup-simplify]: Simplify (- 0) into 0 10.122 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 10.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.123 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.128 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 10.128 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 10.128 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 10.128 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.128 * [taylor]: Taking taylor expansion of +nan.0 in re 10.128 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.128 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.128 * [taylor]: Taking taylor expansion of 2.0 in re 10.128 * [backup-simplify]: Simplify 2.0 into 2.0 10.128 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.129 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 10.129 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 10.129 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.129 * [taylor]: Taking taylor expansion of +nan.0 in re 10.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.129 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.129 * [taylor]: Taking taylor expansion of 2.0 in re 10.129 * [backup-simplify]: Simplify 2.0 into 2.0 10.130 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.130 * [taylor]: Taking taylor expansion of re in re 10.130 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify 1 into 1 10.131 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.131 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 10.131 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.131 * [taylor]: Taking taylor expansion of +nan.0 in re 10.131 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.131 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.131 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.131 * [taylor]: Taking taylor expansion of 2.0 in re 10.131 * [backup-simplify]: Simplify 2.0 into 2.0 10.132 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.132 * [taylor]: Taking taylor expansion of re in re 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 1 into 1 10.133 * [backup-simplify]: Simplify (* 1 1) into 1 10.134 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.135 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.137 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.137 * [backup-simplify]: Simplify (- 0) into 0 10.139 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.141 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.143 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.145 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.146 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.149 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 10.149 * [backup-simplify]: Simplify (sqrt (/ (* 2.0 (* (/ 1 (- im)) (/ 1 (- im)))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 10.149 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 10.149 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 10.149 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 10.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.149 * [taylor]: Taking taylor expansion of 2.0 in re 10.150 * [backup-simplify]: Simplify 2.0 into 2.0 10.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.150 * [taylor]: Taking taylor expansion of im in re 10.150 * [backup-simplify]: Simplify im into im 10.150 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 10.151 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 10.151 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 10.151 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.151 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.151 * [taylor]: Taking taylor expansion of re in re 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (/ 1 1) into 1 10.151 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.151 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.151 * [taylor]: Taking taylor expansion of re in re 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [backup-simplify]: Simplify (* 1 1) into 1 10.151 * [backup-simplify]: Simplify (/ 1 1) into 1 10.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.151 * [taylor]: Taking taylor expansion of im in re 10.151 * [backup-simplify]: Simplify im into im 10.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.152 * [backup-simplify]: Simplify (+ 1 0) into 1 10.152 * [backup-simplify]: Simplify (sqrt 1) into 1 10.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.153 * [backup-simplify]: Simplify (+ 0 0) into 0 10.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.154 * [backup-simplify]: Simplify (+ 1 1) into 2 10.154 * [backup-simplify]: Simplify (/ 1 2) into 1/2 10.154 * [backup-simplify]: Simplify (sqrt 0) into 0 10.155 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 10.155 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 10.155 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.155 * [taylor]: Taking taylor expansion of 2.0 in im 10.155 * [backup-simplify]: Simplify 2.0 into 2.0 10.155 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.156 * [taylor]: Taking taylor expansion of im in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.156 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 10.157 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.157 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.157 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.157 * [taylor]: Taking taylor expansion of re in im 10.157 * [backup-simplify]: Simplify re into re 10.157 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.157 * [taylor]: Taking taylor expansion of re in im 10.157 * [backup-simplify]: Simplify re into re 10.157 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.157 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.157 * [taylor]: Taking taylor expansion of im in im 10.157 * [backup-simplify]: Simplify 0 into 0 10.157 * [backup-simplify]: Simplify 1 into 1 10.157 * [backup-simplify]: Simplify (* 1 1) into 1 10.157 * [backup-simplify]: Simplify (/ 1 1) into 1 10.158 * [backup-simplify]: Simplify (+ 0 1) into 1 10.158 * [backup-simplify]: Simplify (sqrt 1) into 1 10.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.159 * [backup-simplify]: Simplify (+ 0 0) into 0 10.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.160 * [backup-simplify]: Simplify (+ 0 1) into 1 10.160 * [backup-simplify]: Simplify (/ 1 1) into 1 10.160 * [backup-simplify]: Simplify (sqrt 0) into 0 10.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.161 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 10.161 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 10.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 10.161 * [taylor]: Taking taylor expansion of 2.0 in im 10.161 * [backup-simplify]: Simplify 2.0 into 2.0 10.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.161 * [taylor]: Taking taylor expansion of im in im 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 10.162 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 10.162 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.162 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.162 * [taylor]: Taking taylor expansion of re in im 10.162 * [backup-simplify]: Simplify re into re 10.162 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.162 * [taylor]: Taking taylor expansion of re in im 10.162 * [backup-simplify]: Simplify re into re 10.162 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.162 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.162 * [taylor]: Taking taylor expansion of im in im 10.162 * [backup-simplify]: Simplify 0 into 0 10.163 * [backup-simplify]: Simplify 1 into 1 10.163 * [backup-simplify]: Simplify (* 1 1) into 1 10.163 * [backup-simplify]: Simplify (/ 1 1) into 1 10.163 * [backup-simplify]: Simplify (+ 0 1) into 1 10.164 * [backup-simplify]: Simplify (sqrt 1) into 1 10.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify (+ 0 0) into 0 10.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.165 * [backup-simplify]: Simplify (+ 0 1) into 1 10.166 * [backup-simplify]: Simplify (/ 1 1) into 1 10.166 * [backup-simplify]: Simplify (sqrt 0) into 0 10.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 10.167 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 10.167 * [taylor]: Taking taylor expansion of 0 in re 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 0 into 0 10.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.169 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 10.169 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 10.169 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.169 * [taylor]: Taking taylor expansion of +nan.0 in re 10.169 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.169 * [taylor]: Taking taylor expansion of 2.0 in re 10.169 * [backup-simplify]: Simplify 2.0 into 2.0 10.169 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.170 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.171 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.172 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 10.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 10.173 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 10.173 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 10.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 10.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 10.176 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.176 * [taylor]: Taking taylor expansion of +nan.0 in re 10.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.176 * [taylor]: Taking taylor expansion of 2.0 in re 10.176 * [backup-simplify]: Simplify 2.0 into 2.0 10.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.177 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 10.177 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.177 * [taylor]: Taking taylor expansion of +nan.0 in re 10.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.177 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.177 * [taylor]: Taking taylor expansion of 2.0 in re 10.177 * [backup-simplify]: Simplify 2.0 into 2.0 10.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.178 * [taylor]: Taking taylor expansion of re in re 10.178 * [backup-simplify]: Simplify 0 into 0 10.178 * [backup-simplify]: Simplify 1 into 1 10.179 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.180 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.182 * [backup-simplify]: Simplify (- 0) into 0 10.184 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.186 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.187 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.188 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.188 * [backup-simplify]: Simplify (- 0) into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.188 * [backup-simplify]: Simplify 0 into 0 10.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.191 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 10.192 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 10.192 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 10.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 10.193 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 10.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 10.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.198 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 10.198 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 10.198 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 10.198 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 10.198 * [taylor]: Taking taylor expansion of +nan.0 in re 10.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.198 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.198 * [taylor]: Taking taylor expansion of 2.0 in re 10.198 * [backup-simplify]: Simplify 2.0 into 2.0 10.199 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.199 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 10.199 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 10.199 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 10.200 * [taylor]: Taking taylor expansion of +nan.0 in re 10.200 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.200 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 10.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.200 * [taylor]: Taking taylor expansion of 2.0 in re 10.200 * [backup-simplify]: Simplify 2.0 into 2.0 10.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.201 * [taylor]: Taking taylor expansion of re in re 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.202 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.202 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 10.202 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 10.202 * [taylor]: Taking taylor expansion of +nan.0 in re 10.202 * [backup-simplify]: Simplify +nan.0 into +nan.0 10.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 10.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 10.202 * [taylor]: Taking taylor expansion of 2.0 in re 10.202 * [backup-simplify]: Simplify 2.0 into 2.0 10.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 10.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 10.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.203 * [taylor]: Taking taylor expansion of re in re 10.203 * [backup-simplify]: Simplify 0 into 0 10.203 * [backup-simplify]: Simplify 1 into 1 10.204 * [backup-simplify]: Simplify (* 1 1) into 1 10.205 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 10.206 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 10.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.208 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 10.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 10.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 10.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.214 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 10.214 * [backup-simplify]: Simplify (- 0) into 0 10.215 * [backup-simplify]: Simplify (+ 0 0) into 0 10.215 * [backup-simplify]: Simplify (- 0) into 0 10.216 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 10.217 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 10.220 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 10.222 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 10.223 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 10.223 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 10.223 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 10.223 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 10.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 10.223 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 10.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.223 * [taylor]: Taking taylor expansion of im in im 10.223 * [backup-simplify]: Simplify 0 into 0 10.223 * [backup-simplify]: Simplify 1 into 1 10.223 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.223 * [taylor]: Taking taylor expansion of re in im 10.223 * [backup-simplify]: Simplify re into re 10.223 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.223 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 10.223 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.223 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.223 * [backup-simplify]: Simplify (+ 0 0) into 0 10.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.223 * [taylor]: Taking taylor expansion of re in im 10.223 * [backup-simplify]: Simplify re into re 10.223 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.224 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.224 * [taylor]: Taking taylor expansion of im in re 10.224 * [backup-simplify]: Simplify im into im 10.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.224 * [taylor]: Taking taylor expansion of re in re 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.224 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.224 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.224 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.224 * [backup-simplify]: Simplify (+ 0 0) into 0 10.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.224 * [taylor]: Taking taylor expansion of re in re 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 10.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 10.224 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 10.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.224 * [taylor]: Taking taylor expansion of im in re 10.224 * [backup-simplify]: Simplify im into im 10.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.224 * [taylor]: Taking taylor expansion of re in re 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.224 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 10.224 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.225 * [backup-simplify]: Simplify (+ 0 0) into 0 10.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.225 * [taylor]: Taking taylor expansion of re in re 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify (- 0) into 0 10.225 * [backup-simplify]: Simplify (+ im 0) into im 10.225 * [taylor]: Taking taylor expansion of im in im 10.225 * [backup-simplify]: Simplify 0 into 0 10.225 * [backup-simplify]: Simplify 1 into 1 10.225 * [backup-simplify]: Simplify 0 into 0 10.226 * [backup-simplify]: Simplify (- 1) into -1 10.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.226 * [taylor]: Taking taylor expansion of -1 in im 10.226 * [backup-simplify]: Simplify -1 into -1 10.226 * [backup-simplify]: Simplify -1 into -1 10.226 * [backup-simplify]: Simplify 1 into 1 10.226 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.226 * [backup-simplify]: Simplify (* 1 1) into 1 10.227 * [backup-simplify]: Simplify (+ 0 1) into 1 10.227 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.227 * [backup-simplify]: Simplify (- 0) into 0 10.227 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 10.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 10.227 * [taylor]: Taking taylor expansion of 1/2 in im 10.227 * [backup-simplify]: Simplify 1/2 into 1/2 10.227 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.228 * [taylor]: Taking taylor expansion of im in im 10.228 * [backup-simplify]: Simplify 0 into 0 10.228 * [backup-simplify]: Simplify 1 into 1 10.228 * [backup-simplify]: Simplify (/ 1 1) into 1 10.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.230 * [backup-simplify]: Simplify (- 0) into 0 10.230 * [backup-simplify]: Simplify (+ 0 0) into 0 10.230 * [taylor]: Taking taylor expansion of 0 in im 10.230 * [backup-simplify]: Simplify 0 into 0 10.230 * [backup-simplify]: Simplify 0 into 0 10.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 10.232 * [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)) 10.232 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 10.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 10.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.232 * [taylor]: Taking taylor expansion of re in im 10.232 * [backup-simplify]: Simplify re into re 10.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.232 * [taylor]: Taking taylor expansion of im in im 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 1 into 1 10.232 * [backup-simplify]: Simplify (* 1 1) into 1 10.233 * [backup-simplify]: Simplify (/ 1 1) into 1 10.233 * [backup-simplify]: Simplify (+ 0 1) into 1 10.233 * [backup-simplify]: Simplify (sqrt 1) into 1 10.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.234 * [backup-simplify]: Simplify (+ 0 0) into 0 10.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.235 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.235 * [taylor]: Taking taylor expansion of re in im 10.235 * [backup-simplify]: Simplify re into re 10.235 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.235 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.235 * [taylor]: Taking taylor expansion of re in re 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 1 into 1 10.235 * [backup-simplify]: Simplify (* 1 1) into 1 10.235 * [backup-simplify]: Simplify (/ 1 1) into 1 10.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.235 * [taylor]: Taking taylor expansion of im in re 10.235 * [backup-simplify]: Simplify im into im 10.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.236 * [backup-simplify]: Simplify (+ 1 0) into 1 10.236 * [backup-simplify]: Simplify (sqrt 1) into 1 10.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.237 * [backup-simplify]: Simplify (+ 0 0) into 0 10.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.237 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.237 * [taylor]: Taking taylor expansion of re in re 10.237 * [backup-simplify]: Simplify 0 into 0 10.237 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.238 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 10.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.238 * [taylor]: Taking taylor expansion of re in re 10.238 * [backup-simplify]: Simplify 0 into 0 10.238 * [backup-simplify]: Simplify 1 into 1 10.238 * [backup-simplify]: Simplify (* 1 1) into 1 10.238 * [backup-simplify]: Simplify (/ 1 1) into 1 10.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.238 * [taylor]: Taking taylor expansion of im in re 10.238 * [backup-simplify]: Simplify im into im 10.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.238 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.239 * [backup-simplify]: Simplify (+ 1 0) into 1 10.239 * [backup-simplify]: Simplify (sqrt 1) into 1 10.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.240 * [backup-simplify]: Simplify (+ 0 0) into 0 10.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.240 * [taylor]: Taking taylor expansion of re in re 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 1 into 1 10.241 * [backup-simplify]: Simplify (/ 1 1) into 1 10.241 * [backup-simplify]: Simplify (- 1) into -1 10.241 * [backup-simplify]: Simplify (+ 1 -1) into 0 10.241 * [taylor]: Taking taylor expansion of 0 in im 10.241 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.242 * [backup-simplify]: Simplify (- 0) into 0 10.242 * [backup-simplify]: Simplify (+ 0 0) into 0 10.242 * [taylor]: Taking taylor expansion of 0 in im 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.245 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.247 * [backup-simplify]: Simplify (- 0) into 0 10.247 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 10.247 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.247 * [taylor]: Taking taylor expansion of 1/2 in im 10.247 * [backup-simplify]: Simplify 1/2 into 1/2 10.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.247 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.247 * [taylor]: Taking taylor expansion of im in im 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 1 into 1 10.248 * [backup-simplify]: Simplify (* 1 1) into 1 10.248 * [backup-simplify]: Simplify (/ 1 1) into 1 10.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 0 into 0 10.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.253 * [backup-simplify]: Simplify (+ 0 0) into 0 10.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.254 * [backup-simplify]: Simplify (- 0) into 0 10.255 * [backup-simplify]: Simplify (+ 0 0) into 0 10.255 * [taylor]: Taking taylor expansion of 0 in im 10.255 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [backup-simplify]: Simplify 0 into 0 10.258 * [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))))) 10.258 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 10.258 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 10.258 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.258 * [taylor]: Taking taylor expansion of re in im 10.259 * [backup-simplify]: Simplify re into re 10.259 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 10.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 10.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 10.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 10.259 * [taylor]: Taking taylor expansion of re in im 10.259 * [backup-simplify]: Simplify re into re 10.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.259 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 10.259 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.259 * [taylor]: Taking taylor expansion of im in im 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify 1 into 1 10.260 * [backup-simplify]: Simplify (* 1 1) into 1 10.260 * [backup-simplify]: Simplify (/ 1 1) into 1 10.260 * [backup-simplify]: Simplify (+ 0 1) into 1 10.261 * [backup-simplify]: Simplify (sqrt 1) into 1 10.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.262 * [backup-simplify]: Simplify (+ 0 0) into 0 10.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.263 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.263 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.263 * [taylor]: Taking taylor expansion of re in re 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (/ 1 1) into 1 10.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.264 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.264 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.264 * [taylor]: Taking taylor expansion of re in re 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify 1 into 1 10.264 * [backup-simplify]: Simplify (* 1 1) into 1 10.265 * [backup-simplify]: Simplify (/ 1 1) into 1 10.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.265 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.265 * [taylor]: Taking taylor expansion of im in re 10.265 * [backup-simplify]: Simplify im into im 10.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.265 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.265 * [backup-simplify]: Simplify (+ 1 0) into 1 10.266 * [backup-simplify]: Simplify (sqrt 1) into 1 10.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.267 * [backup-simplify]: Simplify (+ 0 0) into 0 10.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 10.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.268 * [taylor]: Taking taylor expansion of re in re 10.268 * [backup-simplify]: Simplify 0 into 0 10.268 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (/ 1 1) into 1 10.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 10.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 10.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 10.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 10.269 * [taylor]: Taking taylor expansion of re in re 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 1 into 1 10.269 * [backup-simplify]: Simplify (* 1 1) into 1 10.269 * [backup-simplify]: Simplify (/ 1 1) into 1 10.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 10.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 10.270 * [taylor]: Taking taylor expansion of im in re 10.270 * [backup-simplify]: Simplify im into im 10.270 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.270 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 10.270 * [backup-simplify]: Simplify (+ 1 0) into 1 10.271 * [backup-simplify]: Simplify (sqrt 1) into 1 10.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.272 * [backup-simplify]: Simplify (+ 0 0) into 0 10.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.274 * [backup-simplify]: Simplify (+ 1 1) into 2 10.274 * [taylor]: Taking taylor expansion of 2 in im 10.274 * [backup-simplify]: Simplify 2 into 2 10.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ 0 0) into 0 10.276 * [taylor]: Taking taylor expansion of 0 in im 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify 2 into 2 10.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.278 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.280 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 10.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 10.280 * [taylor]: Taking taylor expansion of 1/2 in im 10.280 * [backup-simplify]: Simplify 1/2 into 1/2 10.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 10.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.280 * [taylor]: Taking taylor expansion of im in im 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (* 1 1) into 1 10.281 * [backup-simplify]: Simplify (/ 1 1) into 1 10.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.283 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 10.286 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.287 * [backup-simplify]: Simplify (+ 0 0) into 0 10.287 * [taylor]: Taking taylor expansion of 0 in im 10.287 * [backup-simplify]: Simplify 0 into 0 10.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify 0 into 0 10.290 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 10.291 * * * [progress]: simplifying candidates 10.291 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 10.291 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 10.291 * [simplify]: Simplifying (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) 10.292 * * [simplify]: iters left: 6 (8 enodes) 10.295 * * [simplify]: iters left: 5 (26 enodes) 10.302 * * [simplify]: Extracting #0: cost 1 inf + 0 10.302 * * [simplify]: Extracting #1: cost 4 inf + 0 10.302 * * [simplify]: Extracting #2: cost 7 inf + 0 10.302 * * [simplify]: Extracting #3: cost 10 inf + 0 10.302 * * [simplify]: Extracting #4: cost 14 inf + 0 10.302 * * [simplify]: Extracting #5: cost 10 inf + 84 10.302 * * [simplify]: Extracting #6: cost 8 inf + 166 10.302 * * [simplify]: Extracting #7: cost 4 inf + 854 10.303 * * [simplify]: Extracting #8: cost 1 inf + 1540 10.303 * * [simplify]: Extracting #9: cost 0 inf + 1782 10.304 * [simplify]: Simplified to (fabs (cbrt (+ (* re re) (* im im)))) 10.304 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im))))) re))))) 10.304 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 10.305 * [simplify]: Simplifying (sqrt (sqrt (+ (* re re) (* im im)))) 10.305 * * [simplify]: iters left: 6 (7 enodes) 10.307 * * [simplify]: iters left: 5 (22 enodes) 10.309 * * [simplify]: Extracting #0: cost 1 inf + 0 10.310 * * [simplify]: Extracting #1: cost 3 inf + 0 10.310 * * [simplify]: Extracting #2: cost 5 inf + 0 10.310 * * [simplify]: Extracting #3: cost 8 inf + 0 10.310 * * [simplify]: Extracting #4: cost 12 inf + 0 10.310 * * [simplify]: Extracting #5: cost 10 inf + 2 10.310 * * [simplify]: Extracting #6: cost 1 inf + 936 10.310 * * [simplify]: Extracting #7: cost 0 inf + 1138 10.310 * [simplify]: Simplified to (sqrt (sqrt (+ (* re re) (* im im)))) 10.310 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) 10.310 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 10.311 * [simplify]: Simplifying (sqrt 1) 10.311 * * [simplify]: iters left: 1 (2 enodes) 10.312 * * [simplify]: Extracting #0: cost 1 inf + 0 10.313 * * [simplify]: Extracting #1: cost 0 inf + 1 10.313 * [simplify]: Simplified to 1 10.313 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (* 1 (sqrt (+ (* re re) (* im im)))) re))))) 10.313 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 10.313 * [simplify]: Simplifying (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) 10.313 * * [simplify]: iters left: 6 (9 enodes) 10.316 * * [simplify]: iters left: 5 (45 enodes) 10.326 * * [simplify]: iters left: 4 (100 enodes) 10.357 * * [simplify]: iters left: 3 (201 enodes) 10.415 * * [simplify]: iters left: 2 (406 enodes) 10.579 * * [simplify]: Extracting #0: cost 1 inf + 0 10.579 * * [simplify]: Extracting #1: cost 3 inf + 0 10.579 * * [simplify]: Extracting #2: cost 6 inf + 0 10.579 * * [simplify]: Extracting #3: cost 62 inf + 0 10.580 * * [simplify]: Extracting #4: cost 166 inf + 460 10.583 * * [simplify]: Extracting #5: cost 131 inf + 12951 10.590 * * [simplify]: Extracting #6: cost 49 inf + 45746 10.600 * * [simplify]: Extracting #7: cost 1 inf + 66256 10.610 * * [simplify]: Extracting #8: cost 0 inf + 65919 10.621 * [simplify]: Simplified to (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) 10.621 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (/ (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) re))))) 10.621 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 10.622 * [simplify]: Simplifying (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 10.622 * * [simplify]: iters left: 6 (8 enodes) 10.626 * * [simplify]: iters left: 5 (37 enodes) 10.638 * * [simplify]: iters left: 4 (67 enodes) 10.658 * * [simplify]: iters left: 3 (123 enodes) 10.684 * * [simplify]: iters left: 2 (278 enodes) 10.855 * * [simplify]: Extracting #0: cost 1 inf + 0 10.855 * * [simplify]: Extracting #1: cost 3 inf + 0 10.855 * * [simplify]: Extracting #2: cost 50 inf + 0 10.856 * * [simplify]: Extracting #3: cost 150 inf + 0 10.857 * * [simplify]: Extracting #4: cost 194 inf + 1180 10.862 * * [simplify]: Extracting #5: cost 123 inf + 12421 10.877 * * [simplify]: Extracting #6: cost 12 inf + 33804 10.891 * * [simplify]: Extracting #7: cost 0 inf + 36129 10.898 * [simplify]: Simplified to (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) 10.898 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (/ (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im)))) re))))) 10.898 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 10.899 * [simplify]: Simplifying (+ (* re re) (* im im)) 10.899 * * [simplify]: iters left: 4 (5 enodes) 10.900 * * [simplify]: iters left: 3 (16 enodes) 10.902 * * [simplify]: Extracting #0: cost 1 inf + 0 10.902 * * [simplify]: Extracting #1: cost 4 inf + 0 10.902 * * [simplify]: Extracting #2: cost 8 inf + 0 10.902 * * [simplify]: Extracting #3: cost 4 inf + 84 10.902 * * [simplify]: Extracting #4: cost 0 inf + 410 10.902 * [simplify]: Simplified to (+ (* re re) (* im im)) 10.902 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (pow (+ (* re re) (* im im)) (/ 1 2)) re))))) 10.902 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 10.902 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 10.902 * [simplify]: Simplifying (sqrt (+ (* re re) (* im im))) 10.903 * * [simplify]: iters left: 5 (6 enodes) 10.904 * * [simplify]: iters left: 4 (19 enodes) 10.906 * * [simplify]: Extracting #0: cost 1 inf + 0 10.906 * * [simplify]: Extracting #1: cost 3 inf + 0 10.906 * * [simplify]: Extracting #2: cost 6 inf + 0 10.906 * * [simplify]: Extracting #3: cost 10 inf + 0 10.906 * * [simplify]: Extracting #4: cost 6 inf + 84 10.906 * * [simplify]: Extracting #5: cost 0 inf + 734 10.907 * [simplify]: Simplified to (sqrt (+ (* re re) (* im im))) 10.907 * [simplify]: Simplified (2 2 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (fabs (sqrt (+ (* re re) (* im im)))) re))))) 10.907 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 10.907 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 10.907 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 10.907 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 10.907 * [simplify]: Simplifying (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 10.907 * * [simplify]: iters left: 6 (14 enodes) 10.911 * * [simplify]: iters left: 5 (52 enodes) 10.919 * * [simplify]: iters left: 4 (76 enodes) 10.939 * * [simplify]: iters left: 3 (103 enodes) 10.967 * * [simplify]: iters left: 2 (119 enodes) 10.998 * * [simplify]: iters left: 1 (141 enodes) 11.038 * * [simplify]: Extracting #0: cost 1 inf + 0 11.038 * * [simplify]: Extracting #1: cost 24 inf + 0 11.038 * * [simplify]: Extracting #2: cost 49 inf + 0 11.038 * * [simplify]: Extracting #3: cost 43 inf + 810 11.038 * * [simplify]: Extracting #4: cost 35 inf + 2618 11.039 * * [simplify]: Extracting #5: cost 33 inf + 3295 11.039 * * [simplify]: Extracting #6: cost 32 inf + 3499 11.040 * * [simplify]: Extracting #7: cost 16 inf + 7953 11.043 * * [simplify]: Extracting #8: cost 2 inf + 13738 11.046 * * [simplify]: Extracting #9: cost 0 inf + 14694 11.049 * [simplify]: Simplified to (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 11.049 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (+ (log 2.0) (+ (log im) (log im))) (log (- (sqrt (+ (* re re) (* im im))) re))))))) 11.049 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 11.050 * [simplify]: Simplifying (- (+ (log 2.0) (log (* im im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 11.050 * * [simplify]: iters left: 6 (13 enodes) 11.053 * * [simplify]: iters left: 5 (49 enodes) 11.062 * * [simplify]: iters left: 4 (72 enodes) 11.083 * * [simplify]: iters left: 3 (107 enodes) 11.101 * * [simplify]: iters left: 2 (137 enodes) 11.124 * * [simplify]: iters left: 1 (159 enodes) 11.145 * * [simplify]: Extracting #0: cost 1 inf + 0 11.146 * * [simplify]: Extracting #1: cost 29 inf + 0 11.146 * * [simplify]: Extracting #2: cost 55 inf + 0 11.146 * * [simplify]: Extracting #3: cost 50 inf + 740 11.146 * * [simplify]: Extracting #4: cost 39 inf + 2639 11.147 * * [simplify]: Extracting #5: cost 36 inf + 3426 11.148 * * [simplify]: Extracting #6: cost 35 inf + 3589 11.148 * * [simplify]: Extracting #7: cost 32 inf + 3914 11.149 * * [simplify]: Extracting #8: cost 19 inf + 8416 11.155 * * [simplify]: Extracting #9: cost 1 inf + 15910 11.161 * * [simplify]: Extracting #10: cost 0 inf + 16373 11.168 * [simplify]: Simplified to (- (log 2.0) (- (log (- (sqrt (+ (* im im) (* re re))) re)) (log (* im im)))) 11.168 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (log 2.0) (- (log (- (sqrt (+ (* im im) (* re re))) re)) (log (* im im)))))))) 11.168 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 11.169 * [simplify]: Simplifying (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* re re) (* im im))) re))) 11.169 * * [simplify]: iters left: 6 (12 enodes) 11.175 * * [simplify]: iters left: 5 (47 enodes) 11.192 * * [simplify]: iters left: 4 (70 enodes) 11.213 * * [simplify]: iters left: 3 (95 enodes) 11.242 * * [simplify]: iters left: 2 (128 enodes) 11.277 * * [simplify]: iters left: 1 (157 enodes) 11.323 * * [simplify]: Extracting #0: cost 1 inf + 0 11.323 * * [simplify]: Extracting #1: cost 19 inf + 0 11.323 * * [simplify]: Extracting #2: cost 47 inf + 0 11.323 * * [simplify]: Extracting #3: cost 52 inf + 2 11.324 * * [simplify]: Extracting #4: cost 41 inf + 1030 11.325 * * [simplify]: Extracting #5: cost 32 inf + 2236 11.326 * * [simplify]: Extracting #6: cost 31 inf + 2399 11.327 * * [simplify]: Extracting #7: cost 26 inf + 3088 11.329 * * [simplify]: Extracting #8: cost 11 inf + 8583 11.334 * * [simplify]: Extracting #9: cost 1 inf + 12429 11.340 * * [simplify]: Extracting #10: cost 0 inf + 12852 11.345 * [simplify]: Simplified to (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* im im) (* re re))) re))) 11.345 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (exp (- (log (* 2.0 (* im im))) (log (- (sqrt (+ (* im im) (* re re))) re))))))) 11.345 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 11.345 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 11.346 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 11.346 * [simplify]: Simplifying (/ (* (* (* 2.0 2.0) 2.0) (* (* (* im im) im) (* (* im im) im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 11.346 * * [simplify]: iters left: 6 (16 enodes) 11.355 * * [simplify]: iters left: 5 (72 enodes) 11.374 * * [simplify]: iters left: 4 (233 enodes) 11.525 * * [simplify]: Extracting #0: cost 1 inf + 0 11.525 * * [simplify]: Extracting #1: cost 139 inf + 0 11.527 * * [simplify]: Extracting #2: cost 302 inf + 811 11.532 * * [simplify]: Extracting #3: cost 309 inf + 4952 11.538 * * [simplify]: Extracting #4: cost 286 inf + 8246 11.549 * * [simplify]: Extracting #5: cost 284 inf + 8621 11.563 * * [simplify]: Extracting #6: cost 212 inf + 33047 11.608 * * [simplify]: Extracting #7: cost 29 inf + 99180 11.637 * * [simplify]: Extracting #8: cost 0 inf + 107098 11.680 * * [simplify]: Extracting #9: cost 0 inf + 106858 11.710 * [simplify]: Simplified to (/ (* 2.0 2.0) (/ (* (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))) (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))) 11.710 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (/ (* 2.0 2.0) (/ (* (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))) (/ 2.0 (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im))))))))) 11.710 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 11.710 * [simplify]: Simplifying (/ (* (* (* 2.0 2.0) 2.0) (* (* (* im im) (* im im)) (* im im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 11.710 * * [simplify]: iters left: 6 (16 enodes) 11.715 * * [simplify]: iters left: 5 (73 enodes) 11.731 * * [simplify]: iters left: 4 (230 enodes) 11.845 * * [simplify]: Extracting #0: cost 1 inf + 0 11.846 * * [simplify]: Extracting #1: cost 136 inf + 0 11.847 * * [simplify]: Extracting #2: cost 308 inf + 811 11.852 * * [simplify]: Extracting #3: cost 312 inf + 5236 11.855 * * [simplify]: Extracting #4: cost 290 inf + 8400 11.859 * * [simplify]: Extracting #5: cost 282 inf + 9807 11.877 * * [simplify]: Extracting #6: cost 183 inf + 43860 11.906 * * [simplify]: Extracting #7: cost 19 inf + 102788 11.949 * * [simplify]: Extracting #8: cost 0 inf + 107640 12.004 * * [simplify]: Extracting #9: cost 0 inf + 106320 12.058 * [simplify]: Simplified to (/ (* (* (* im im) 2.0) (* (* (* im im) 2.0) (* (* im im) 2.0))) (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))) 12.058 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (/ (* (* (* im im) 2.0) (* (* (* im im) 2.0) (* (* im im) 2.0))) (* (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re)) (- (sqrt (+ (* im im) (* re re))) re))))))) 12.059 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 12.059 * [simplify]: Simplifying (/ (* (* (* 2.0 (* im im)) (* 2.0 (* im im))) (* 2.0 (* im im))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) 12.059 * * [simplify]: iters left: 6 (14 enodes) 12.067 * * [simplify]: iters left: 5 (66 enodes) 12.081 * * [simplify]: iters left: 4 (236 enodes) 12.234 * * [simplify]: Extracting #0: cost 1 inf + 0 12.234 * * [simplify]: Extracting #1: cost 183 inf + 0 12.236 * * [simplify]: Extracting #2: cost 413 inf + 858 12.238 * * [simplify]: Extracting #3: cost 410 inf + 6702 12.243 * * [simplify]: Extracting #4: cost 388 inf + 9876 12.274 * * [simplify]: Extracting #5: cost 197 inf + 74129 12.341 * * [simplify]: Extracting #6: cost 7 inf + 141264 12.410 * * [simplify]: Extracting #7: cost 0 inf + 143324 12.454 * * [simplify]: Extracting #8: cost 0 inf + 143284 12.509 * [simplify]: Simplified to (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 12.509 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (cbrt (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))) 12.509 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 12.509 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 12.509 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 12.510 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 12.510 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 12.510 * [simplify]: Simplifying (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.510 * * [simplify]: iters left: 6 (11 enodes) 12.515 * * [simplify]: iters left: 5 (38 enodes) 12.526 * * [simplify]: iters left: 4 (43 enodes) 12.538 * * [simplify]: Extracting #0: cost 1 inf + 0 12.538 * * [simplify]: Extracting #1: cost 6 inf + 0 12.538 * * [simplify]: Extracting #2: cost 9 inf + 1 12.538 * * [simplify]: Extracting #3: cost 13 inf + 1 12.538 * * [simplify]: Extracting #4: cost 14 inf + 43 12.539 * * [simplify]: Extracting #5: cost 16 inf + 84 12.539 * * [simplify]: Extracting #6: cost 18 inf + 125 12.539 * * [simplify]: Extracting #7: cost 16 inf + 167 12.539 * * [simplify]: Extracting #8: cost 12 inf + 493 12.540 * * [simplify]: Extracting #9: cost 9 inf + 1019 12.540 * * [simplify]: Extracting #10: cost 5 inf + 2148 12.541 * * [simplify]: Extracting #11: cost 0 inf + 3801 12.542 * [simplify]: Simplified to (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 12.542 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 12.543 * [simplify]: Simplifying (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 12.543 * * [simplify]: iters left: 6 (9 enodes) 12.547 * * [simplify]: iters left: 5 (32 enodes) 12.556 * * [simplify]: iters left: 4 (39 enodes) 12.568 * * [simplify]: iters left: 3 (42 enodes) 12.579 * * [simplify]: Extracting #0: cost 1 inf + 0 12.579 * * [simplify]: Extracting #1: cost 7 inf + 0 12.579 * * [simplify]: Extracting #2: cost 11 inf + 1 12.579 * * [simplify]: Extracting #3: cost 13 inf + 83 12.579 * * [simplify]: Extracting #4: cost 14 inf + 125 12.579 * * [simplify]: Extracting #5: cost 15 inf + 166 12.580 * * [simplify]: Extracting #6: cost 15 inf + 207 12.580 * * [simplify]: Extracting #7: cost 12 inf + 532 12.580 * * [simplify]: Extracting #8: cost 7 inf + 1502 12.581 * * [simplify]: Extracting #9: cost 1 inf + 3394 12.583 * * [simplify]: Extracting #10: cost 0 inf + 3716 12.584 * [simplify]: Simplified to (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) 12.584 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))))))) 12.584 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 12.584 * [simplify]: Simplifying (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.584 * * [simplify]: iters left: 6 (10 enodes) 12.589 * * [simplify]: iters left: 5 (33 enodes) 12.598 * * [simplify]: iters left: 4 (36 enodes) 12.603 * * [simplify]: Extracting #0: cost 1 inf + 0 12.603 * * [simplify]: Extracting #1: cost 4 inf + 0 12.603 * * [simplify]: Extracting #2: cost 5 inf + 1 12.603 * * [simplify]: Extracting #3: cost 9 inf + 1 12.603 * * [simplify]: Extracting #4: cost 10 inf + 43 12.604 * * [simplify]: Extracting #5: cost 12 inf + 84 12.604 * * [simplify]: Extracting #6: cost 14 inf + 125 12.604 * * [simplify]: Extracting #7: cost 12 inf + 167 12.604 * * [simplify]: Extracting #8: cost 9 inf + 371 12.604 * * [simplify]: Extracting #9: cost 4 inf + 1221 12.604 * * [simplify]: Extracting #10: cost 0 inf + 2271 12.605 * [simplify]: Simplified to (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.605 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 12.605 * [simplify]: Simplifying (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 12.605 * * [simplify]: iters left: 6 (9 enodes) 12.607 * * [simplify]: iters left: 5 (32 enodes) 12.611 * * [simplify]: iters left: 4 (39 enodes) 12.617 * * [simplify]: iters left: 3 (42 enodes) 12.622 * * [simplify]: Extracting #0: cost 1 inf + 0 12.622 * * [simplify]: Extracting #1: cost 7 inf + 0 12.622 * * [simplify]: Extracting #2: cost 11 inf + 1 12.622 * * [simplify]: Extracting #3: cost 13 inf + 83 12.622 * * [simplify]: Extracting #4: cost 14 inf + 125 12.622 * * [simplify]: Extracting #5: cost 15 inf + 166 12.622 * * [simplify]: Extracting #6: cost 15 inf + 207 12.622 * * [simplify]: Extracting #7: cost 12 inf + 532 12.623 * * [simplify]: Extracting #8: cost 7 inf + 1462 12.623 * * [simplify]: Extracting #9: cost 1 inf + 3114 12.624 * * [simplify]: Extracting #10: cost 0 inf + 3396 12.624 * [simplify]: Simplified to (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 12.624 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))))))) 12.625 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 12.625 * [simplify]: Simplifying (/ 2.0 1) 12.625 * * [simplify]: iters left: 2 (3 enodes) 12.626 * * [simplify]: iters left: 1 (9 enodes) 12.629 * * [simplify]: Extracting #0: cost 1 inf + 0 12.629 * * [simplify]: Extracting #1: cost 0 inf + 1 12.630 * [simplify]: Simplified to 2.0 12.630 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 12.630 * [simplify]: Simplifying (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) 12.630 * * [simplify]: iters left: 6 (8 enodes) 12.633 * * [simplify]: iters left: 5 (29 enodes) 12.641 * * [simplify]: iters left: 4 (39 enodes) 12.652 * * [simplify]: iters left: 3 (48 enodes) 12.659 * * [simplify]: iters left: 2 (52 enodes) 12.666 * * [simplify]: Extracting #0: cost 1 inf + 0 12.666 * * [simplify]: Extracting #1: cost 7 inf + 0 12.666 * * [simplify]: Extracting #2: cost 16 inf + 1 12.666 * * [simplify]: Extracting #3: cost 17 inf + 208 12.666 * * [simplify]: Extracting #4: cost 15 inf + 414 12.666 * * [simplify]: Extracting #5: cost 13 inf + 739 12.667 * * [simplify]: Extracting #6: cost 2 inf + 2840 12.668 * * [simplify]: Extracting #7: cost 0 inf + 3324 12.669 * [simplify]: Simplified to (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 12.669 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))) 12.669 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 12.669 * [simplify]: Simplifying (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.669 * * [simplify]: iters left: 6 (11 enodes) 12.672 * * [simplify]: iters left: 5 (35 enodes) 12.677 * * [simplify]: Extracting #0: cost 1 inf + 0 12.677 * * [simplify]: Extracting #1: cost 4 inf + 0 12.677 * * [simplify]: Extracting #2: cost 6 inf + 1 12.677 * * [simplify]: Extracting #3: cost 10 inf + 1 12.677 * * [simplify]: Extracting #4: cost 10 inf + 43 12.677 * * [simplify]: Extracting #5: cost 12 inf + 84 12.677 * * [simplify]: Extracting #6: cost 14 inf + 125 12.677 * * [simplify]: Extracting #7: cost 12 inf + 167 12.677 * * [simplify]: Extracting #8: cost 10 inf + 330 12.677 * * [simplify]: Extracting #9: cost 5 inf + 1139 12.678 * * [simplify]: Extracting #10: cost 0 inf + 2431 12.678 * [simplify]: Simplified to (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.678 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 12.678 * [simplify]: Simplifying (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.678 * * [simplify]: iters left: 6 (10 enodes) 12.681 * * [simplify]: iters left: 5 (35 enodes) 12.688 * * [simplify]: iters left: 4 (45 enodes) 12.700 * * [simplify]: iters left: 3 (54 enodes) 12.714 * * [simplify]: iters left: 2 (58 enodes) 12.728 * * [simplify]: Extracting #0: cost 1 inf + 0 12.728 * * [simplify]: Extracting #1: cost 7 inf + 0 12.729 * * [simplify]: Extracting #2: cost 16 inf + 1 12.729 * * [simplify]: Extracting #3: cost 23 inf + 42 12.729 * * [simplify]: Extracting #4: cost 20 inf + 247 12.729 * * [simplify]: Extracting #5: cost 17 inf + 736 12.730 * * [simplify]: Extracting #6: cost 14 inf + 1183 12.730 * * [simplify]: Extracting #7: cost 6 inf + 2918 12.731 * * [simplify]: Extracting #8: cost 2 inf + 4126 12.732 * * [simplify]: Extracting #9: cost 0 inf + 4770 12.732 * [simplify]: Simplified to (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 12.733 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 12.733 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 12.733 * [simplify]: Simplifying (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.733 * * [simplify]: iters left: 6 (11 enodes) 12.736 * * [simplify]: iters left: 5 (35 enodes) 12.740 * * [simplify]: Extracting #0: cost 1 inf + 0 12.740 * * [simplify]: Extracting #1: cost 4 inf + 0 12.740 * * [simplify]: Extracting #2: cost 6 inf + 1 12.741 * * [simplify]: Extracting #3: cost 10 inf + 1 12.741 * * [simplify]: Extracting #4: cost 10 inf + 43 12.741 * * [simplify]: Extracting #5: cost 12 inf + 84 12.741 * * [simplify]: Extracting #6: cost 14 inf + 125 12.741 * * [simplify]: Extracting #7: cost 12 inf + 167 12.741 * * [simplify]: Extracting #8: cost 10 inf + 330 12.741 * * [simplify]: Extracting #9: cost 5 inf + 1139 12.741 * * [simplify]: Extracting #10: cost 0 inf + 2431 12.742 * [simplify]: Simplified to (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.742 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 12.742 * [simplify]: Simplifying (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 12.742 * * [simplify]: iters left: 6 (10 enodes) 12.744 * * [simplify]: iters left: 5 (35 enodes) 12.749 * * [simplify]: iters left: 4 (45 enodes) 12.755 * * [simplify]: iters left: 3 (54 enodes) 12.767 * * [simplify]: iters left: 2 (58 enodes) 12.783 * * [simplify]: Extracting #0: cost 1 inf + 0 12.783 * * [simplify]: Extracting #1: cost 7 inf + 0 12.783 * * [simplify]: Extracting #2: cost 16 inf + 1 12.783 * * [simplify]: Extracting #3: cost 23 inf + 42 12.783 * * [simplify]: Extracting #4: cost 20 inf + 247 12.784 * * [simplify]: Extracting #5: cost 17 inf + 736 12.784 * * [simplify]: Extracting #6: cost 14 inf + 1183 12.785 * * [simplify]: Extracting #7: cost 6 inf + 2918 12.786 * * [simplify]: Extracting #8: cost 2 inf + 4126 12.788 * * [simplify]: Extracting #9: cost 0 inf + 4770 12.790 * [simplify]: Simplified to (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 12.790 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))))))) 12.790 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 12.790 * [simplify]: Simplifying (/ 2.0 1) 12.790 * * [simplify]: iters left: 2 (3 enodes) 12.793 * * [simplify]: iters left: 1 (9 enodes) 12.796 * * [simplify]: Extracting #0: cost 1 inf + 0 12.796 * * [simplify]: Extracting #1: cost 0 inf + 1 12.796 * [simplify]: Simplified to 2.0 12.796 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 12.796 * [simplify]: Simplifying (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)) 12.796 * * [simplify]: iters left: 6 (8 enodes) 12.800 * * [simplify]: iters left: 5 (29 enodes) 12.808 * * [simplify]: iters left: 4 (39 enodes) 12.819 * * [simplify]: iters left: 3 (48 enodes) 12.831 * * [simplify]: iters left: 2 (52 enodes) 12.844 * * [simplify]: Extracting #0: cost 1 inf + 0 12.845 * * [simplify]: Extracting #1: cost 7 inf + 0 12.845 * * [simplify]: Extracting #2: cost 16 inf + 1 12.845 * * [simplify]: Extracting #3: cost 17 inf + 208 12.845 * * [simplify]: Extracting #4: cost 15 inf + 414 12.846 * * [simplify]: Extracting #5: cost 13 inf + 739 12.847 * * [simplify]: Extracting #6: cost 2 inf + 2840 12.848 * * [simplify]: Extracting #7: cost 0 inf + 3324 12.849 * [simplify]: Simplified to (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) 12.849 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* 2.0 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))))) 12.849 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 12.849 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 12.850 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 12.850 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 12.850 * [simplify]: Simplifying (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 12.850 * * [simplify]: iters left: 6 (8 enodes) 12.853 * * [simplify]: iters left: 5 (27 enodes) 12.861 * * [simplify]: iters left: 4 (30 enodes) 12.869 * * [simplify]: Extracting #0: cost 1 inf + 0 12.869 * * [simplify]: Extracting #1: cost 3 inf + 0 12.869 * * [simplify]: Extracting #2: cost 7 inf + 0 12.869 * * [simplify]: Extracting #3: cost 9 inf + 1 12.869 * * [simplify]: Extracting #4: cost 10 inf + 83 12.870 * * [simplify]: Extracting #5: cost 12 inf + 124 12.870 * * [simplify]: Extracting #6: cost 9 inf + 207 12.870 * * [simplify]: Extracting #7: cost 5 inf + 654 12.870 * * [simplify]: Extracting #8: cost 1 inf + 1502 12.871 * * [simplify]: Extracting #9: cost 0 inf + 1784 12.872 * [simplify]: Simplified to (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 12.872 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) 12.872 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 12.872 * [simplify]: Simplifying (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 12.872 * * [simplify]: iters left: 6 (8 enodes) 12.876 * * [simplify]: iters left: 5 (27 enodes) 12.883 * * [simplify]: iters left: 4 (30 enodes) 12.892 * * [simplify]: Extracting #0: cost 1 inf + 0 12.892 * * [simplify]: Extracting #1: cost 3 inf + 0 12.892 * * [simplify]: Extracting #2: cost 7 inf + 0 12.892 * * [simplify]: Extracting #3: cost 9 inf + 1 12.892 * * [simplify]: Extracting #4: cost 10 inf + 83 12.892 * * [simplify]: Extracting #5: cost 12 inf + 124 12.892 * * [simplify]: Extracting #6: cost 9 inf + 207 12.893 * * [simplify]: Extracting #7: cost 5 inf + 654 12.893 * * [simplify]: Extracting #8: cost 1 inf + 1462 12.894 * * [simplify]: Extracting #9: cost 0 inf + 1704 12.894 * [simplify]: Simplified to (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 12.894 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) 12.894 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 12.895 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 12.895 * * [simplify]: iters left: 6 (7 enodes) 12.898 * * [simplify]: iters left: 5 (24 enodes) 12.905 * * [simplify]: iters left: 4 (27 enodes) 12.912 * * [simplify]: Extracting #0: cost 1 inf + 0 12.912 * * [simplify]: Extracting #1: cost 5 inf + 0 12.912 * * [simplify]: Extracting #2: cost 7 inf + 1 12.912 * * [simplify]: Extracting #3: cost 8 inf + 83 12.912 * * [simplify]: Extracting #4: cost 10 inf + 124 12.913 * * [simplify]: Extracting #5: cost 6 inf + 248 12.913 * * [simplify]: Extracting #6: cost 3 inf + 654 12.913 * * [simplify]: Extracting #7: cost 1 inf + 1018 12.914 * * [simplify]: Extracting #8: cost 0 inf + 1220 12.914 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 12.914 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) 1) (- (sqrt (+ (* re re) (* im im))) re))))) 12.914 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 12.915 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 12.915 * * [simplify]: iters left: 6 (9 enodes) 12.919 * * [simplify]: iters left: 5 (30 enodes) 12.928 * * [simplify]: iters left: 4 (33 enodes) 12.937 * * [simplify]: Extracting #0: cost 1 inf + 0 12.937 * * [simplify]: Extracting #1: cost 5 inf + 0 12.937 * * [simplify]: Extracting #2: cost 10 inf + 0 12.937 * * [simplify]: Extracting #3: cost 11 inf + 1 12.937 * * [simplify]: Extracting #4: cost 10 inf + 245 12.938 * * [simplify]: Extracting #5: cost 12 inf + 286 12.938 * * [simplify]: Extracting #6: cost 8 inf + 410 12.938 * * [simplify]: Extracting #7: cost 6 inf + 694 12.939 * * [simplify]: Extracting #8: cost 1 inf + 1744 12.939 * * [simplify]: Extracting #9: cost 0 inf + 1946 12.940 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 12.940 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 12.940 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 12.941 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 12.941 * * [simplify]: iters left: 6 (9 enodes) 12.944 * * [simplify]: iters left: 5 (30 enodes) 12.953 * * [simplify]: iters left: 4 (33 enodes) 12.962 * * [simplify]: Extracting #0: cost 1 inf + 0 12.962 * * [simplify]: Extracting #1: cost 5 inf + 0 12.962 * * [simplify]: Extracting #2: cost 10 inf + 0 12.962 * * [simplify]: Extracting #3: cost 11 inf + 1 12.962 * * [simplify]: Extracting #4: cost 10 inf + 245 12.962 * * [simplify]: Extracting #5: cost 12 inf + 286 12.963 * * [simplify]: Extracting #6: cost 8 inf + 410 12.963 * * [simplify]: Extracting #7: cost 6 inf + 694 12.964 * * [simplify]: Extracting #8: cost 1 inf + 1744 12.964 * * [simplify]: Extracting #9: cost 0 inf + 1946 12.965 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 12.965 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))) 12.965 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 12.965 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 12.966 * * [simplify]: iters left: 6 (7 enodes) 12.969 * * [simplify]: iters left: 5 (24 enodes) 12.976 * * [simplify]: iters left: 4 (27 enodes) 12.983 * * [simplify]: Extracting #0: cost 1 inf + 0 12.983 * * [simplify]: Extracting #1: cost 5 inf + 0 12.983 * * [simplify]: Extracting #2: cost 7 inf + 1 12.983 * * [simplify]: Extracting #3: cost 8 inf + 83 12.983 * * [simplify]: Extracting #4: cost 10 inf + 124 12.983 * * [simplify]: Extracting #5: cost 6 inf + 248 12.984 * * [simplify]: Extracting #6: cost 3 inf + 654 12.984 * * [simplify]: Extracting #7: cost 1 inf + 1018 12.985 * * [simplify]: Extracting #8: cost 0 inf + 1220 12.985 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 12.985 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (/ (* 2.0 (* im im)) 1) (- (sqrt (+ (* re re) (* im im))) re))))) 12.985 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 12.986 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 12.986 * [simplify]: Simplifying (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) 12.986 * * [simplify]: iters left: 6 (10 enodes) 12.991 * * [simplify]: iters left: 5 (36 enodes) 13.002 * * [simplify]: iters left: 4 (60 enodes) 13.022 * * [simplify]: iters left: 3 (83 enodes) 13.047 * * [simplify]: iters left: 2 (101 enodes) 13.076 * * [simplify]: Extracting #0: cost 1 inf + 0 13.076 * * [simplify]: Extracting #1: cost 12 inf + 0 13.076 * * [simplify]: Extracting #2: cost 28 inf + 0 13.077 * * [simplify]: Extracting #3: cost 26 inf + 206 13.077 * * [simplify]: Extracting #4: cost 18 inf + 978 13.079 * * [simplify]: Extracting #5: cost 4 inf + 4126 13.081 * * [simplify]: Extracting #6: cost 0 inf + 5174 13.083 * [simplify]: Simplified to (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im)))) 13.083 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* 2.0 (* im im)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (+ (* (sqrt (+ (* re re) (* im im))) re) (+ (* re re) (+ (* re re) (* im im)))))))) 13.084 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 13.084 * [simplify]: Simplifying (+ (sqrt (+ (* re re) (* im im))) re) 13.084 * * [simplify]: iters left: 6 (7 enodes) 13.087 * * [simplify]: iters left: 5 (23 enodes) 13.094 * * [simplify]: Extracting #0: cost 1 inf + 0 13.094 * * [simplify]: Extracting #1: cost 4 inf + 0 13.094 * * [simplify]: Extracting #2: cost 5 inf + 1 13.094 * * [simplify]: Extracting #3: cost 8 inf + 1 13.094 * * [simplify]: Extracting #4: cost 10 inf + 42 13.094 * * [simplify]: Extracting #5: cost 8 inf + 84 13.095 * * [simplify]: Extracting #6: cost 1 inf + 936 13.095 * * [simplify]: Extracting #7: cost 0 inf + 1138 13.096 * [simplify]: Simplified to (+ (sqrt (+ (* re re) (* im im))) re) 13.096 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* 2.0 (* im im)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (+ (sqrt (+ (* re re) (* im im))) re))))) 13.096 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #real (real->posit16 (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 13.096 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 13.096 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 13.097 * [simplify]: Simplifying (sqrt (* (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) 13.097 * * [simplify]: iters left: 6 (13 enodes) 13.103 * * [simplify]: iters left: 5 (48 enodes) 13.118 * * [simplify]: iters left: 4 (67 enodes) 13.137 * * [simplify]: iters left: 3 (94 enodes) 13.164 * * [simplify]: iters left: 2 (134 enodes) 13.201 * * [simplify]: iters left: 1 (157 enodes) 13.228 * * [simplify]: Extracting #0: cost 1 inf + 0 13.228 * * [simplify]: Extracting #1: cost 4 inf + 0 13.228 * * [simplify]: Extracting #2: cost 7 inf + 0 13.228 * * [simplify]: Extracting #3: cost 22 inf + 0 13.229 * * [simplify]: Extracting #4: cost 47 inf + 2 13.229 * * [simplify]: Extracting #5: cost 54 inf + 375 13.230 * * [simplify]: Extracting #6: cost 42 inf + 1444 13.231 * * [simplify]: Extracting #7: cost 32 inf + 3188 13.235 * * [simplify]: Extracting #8: cost 3 inf + 10661 13.239 * * [simplify]: Extracting #9: cost 0 inf + 11429 13.243 * [simplify]: Simplified to (fabs (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 13.243 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))))) 13.243 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 13.243 * [simplify]: Simplifying (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 13.243 * * [simplify]: iters left: 6 (12 enodes) 13.246 * * [simplify]: iters left: 5 (44 enodes) 13.253 * * [simplify]: iters left: 4 (63 enodes) 13.262 * * [simplify]: iters left: 3 (90 enodes) 13.276 * * [simplify]: iters left: 2 (130 enodes) 13.303 * * [simplify]: iters left: 1 (151 enodes) 13.335 * * [simplify]: Extracting #0: cost 1 inf + 0 13.335 * * [simplify]: Extracting #1: cost 3 inf + 0 13.335 * * [simplify]: Extracting #2: cost 5 inf + 0 13.335 * * [simplify]: Extracting #3: cost 20 inf + 0 13.336 * * [simplify]: Extracting #4: cost 44 inf + 2 13.336 * * [simplify]: Extracting #5: cost 48 inf + 578 13.336 * * [simplify]: Extracting #6: cost 40 inf + 1279 13.337 * * [simplify]: Extracting #7: cost 28 inf + 3428 13.338 * * [simplify]: Extracting #8: cost 7 inf + 8561 13.340 * * [simplify]: Extracting #9: cost 0 inf + 10217 13.342 * [simplify]: Simplified to (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) 13.342 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))))) 13.343 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 13.343 * [simplify]: Simplifying (sqrt (/ 2.0 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.343 * * [simplify]: iters left: 6 (12 enodes) 13.346 * * [simplify]: iters left: 5 (41 enodes) 13.352 * * [simplify]: iters left: 4 (46 enodes) 13.361 * * [simplify]: Extracting #0: cost 1 inf + 0 13.361 * * [simplify]: Extracting #1: cost 3 inf + 0 13.362 * * [simplify]: Extracting #2: cost 8 inf + 0 13.362 * * [simplify]: Extracting #3: cost 11 inf + 1 13.362 * * [simplify]: Extracting #4: cost 15 inf + 1 13.362 * * [simplify]: Extracting #5: cost 17 inf + 2 13.362 * * [simplify]: Extracting #6: cost 19 inf + 43 13.362 * * [simplify]: Extracting #7: cost 20 inf + 125 13.362 * * [simplify]: Extracting #8: cost 15 inf + 452 13.363 * * [simplify]: Extracting #9: cost 5 inf + 2793 13.364 * * [simplify]: Extracting #10: cost 1 inf + 4204 13.366 * * [simplify]: Extracting #11: cost 0 inf + 4607 13.367 * [simplify]: Simplified to (sqrt (/ (/ 2.0 (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.367 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ (/ 2.0 (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))))) 13.367 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 13.367 * [simplify]: Simplifying (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.368 * * [simplify]: iters left: 6 (11 enodes) 13.373 * * [simplify]: iters left: 5 (36 enodes) 13.383 * * [simplify]: iters left: 4 (39 enodes) 13.394 * * [simplify]: Extracting #0: cost 1 inf + 0 13.394 * * [simplify]: Extracting #1: cost 3 inf + 0 13.394 * * [simplify]: Extracting #2: cost 6 inf + 0 13.394 * * [simplify]: Extracting #3: cost 7 inf + 1 13.395 * * [simplify]: Extracting #4: cost 11 inf + 1 13.395 * * [simplify]: Extracting #5: cost 13 inf + 2 13.395 * * [simplify]: Extracting #6: cost 15 inf + 43 13.395 * * [simplify]: Extracting #7: cost 16 inf + 125 13.395 * * [simplify]: Extracting #8: cost 14 inf + 167 13.395 * * [simplify]: Extracting #9: cost 12 inf + 330 13.396 * * [simplify]: Extracting #10: cost 7 inf + 1019 13.396 * * [simplify]: Extracting #11: cost 3 inf + 1988 13.397 * * [simplify]: Extracting #12: cost 0 inf + 2917 13.398 * [simplify]: Simplified to (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 13.398 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))) 13.398 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 13.398 * [simplify]: Simplifying (sqrt (/ 2.0 1)) 13.399 * * [simplify]: iters left: 3 (4 enodes) 13.402 * * [simplify]: iters left: 2 (12 enodes) 13.407 * * [simplify]: iters left: 1 (14 enodes) 13.411 * * [simplify]: Extracting #0: cost 1 inf + 0 13.411 * * [simplify]: Extracting #1: cost 3 inf + 0 13.411 * * [simplify]: Extracting #2: cost 0 inf + 83 13.411 * [simplify]: Simplified to (sqrt 2.0) 13.411 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 13.412 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 13.412 * [simplify]: Simplifying (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.412 * * [simplify]: iters left: 6 (12 enodes) 13.418 * * [simplify]: iters left: 5 (38 enodes) 13.427 * * [simplify]: Extracting #0: cost 1 inf + 0 13.427 * * [simplify]: Extracting #1: cost 3 inf + 0 13.427 * * [simplify]: Extracting #2: cost 6 inf + 0 13.427 * * [simplify]: Extracting #3: cost 8 inf + 1 13.427 * * [simplify]: Extracting #4: cost 12 inf + 1 13.427 * * [simplify]: Extracting #5: cost 13 inf + 2 13.428 * * [simplify]: Extracting #6: cost 14 inf + 84 13.428 * * [simplify]: Extracting #7: cost 16 inf + 125 13.428 * * [simplify]: Extracting #8: cost 14 inf + 167 13.428 * * [simplify]: Extracting #9: cost 11 inf + 371 13.428 * * [simplify]: Extracting #10: cost 4 inf + 1785 13.428 * * [simplify]: Extracting #11: cost 0 inf + 3157 13.429 * [simplify]: Simplified to (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.429 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 13.429 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 13.429 * [simplify]: Simplifying (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.429 * * [simplify]: iters left: 6 (12 enodes) 13.432 * * [simplify]: iters left: 5 (38 enodes) 13.438 * * [simplify]: Extracting #0: cost 1 inf + 0 13.438 * * [simplify]: Extracting #1: cost 3 inf + 0 13.438 * * [simplify]: Extracting #2: cost 6 inf + 0 13.438 * * [simplify]: Extracting #3: cost 8 inf + 1 13.438 * * [simplify]: Extracting #4: cost 12 inf + 1 13.438 * * [simplify]: Extracting #5: cost 13 inf + 2 13.438 * * [simplify]: Extracting #6: cost 14 inf + 84 13.438 * * [simplify]: Extracting #7: cost 16 inf + 125 13.438 * * [simplify]: Extracting #8: cost 14 inf + 167 13.438 * * [simplify]: Extracting #9: cost 11 inf + 371 13.439 * * [simplify]: Extracting #10: cost 4 inf + 1785 13.439 * * [simplify]: Extracting #11: cost 0 inf + 3157 13.440 * [simplify]: Simplified to (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 13.440 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 13.440 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 13.440 * [simplify]: Simplifying (sqrt (/ 2.0 1)) 13.440 * * [simplify]: iters left: 3 (4 enodes) 13.442 * * [simplify]: iters left: 2 (12 enodes) 13.444 * * [simplify]: iters left: 1 (14 enodes) 13.446 * * [simplify]: Extracting #0: cost 1 inf + 0 13.446 * * [simplify]: Extracting #1: cost 3 inf + 0 13.446 * * [simplify]: Extracting #2: cost 0 inf + 83 13.447 * [simplify]: Simplified to (sqrt 2.0) 13.447 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re)))))) 13.447 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 13.447 * [simplify]: Simplifying (sqrt 1) 13.447 * * [simplify]: iters left: 1 (2 enodes) 13.449 * * [simplify]: Extracting #0: cost 1 inf + 0 13.449 * * [simplify]: Extracting #1: cost 0 inf + 1 13.449 * [simplify]: Simplified to 1 13.449 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))) 13.449 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 13.449 * [simplify]: Simplifying (sqrt (* 2.0 (* im im))) 13.449 * * [simplify]: iters left: 5 (5 enodes) 13.450 * * [simplify]: iters left: 4 (18 enodes) 13.453 * * [simplify]: iters left: 3 (22 enodes) 13.456 * * [simplify]: Extracting #0: cost 1 inf + 0 13.456 * * [simplify]: Extracting #1: cost 3 inf + 0 13.456 * * [simplify]: Extracting #2: cost 8 inf + 0 13.456 * * [simplify]: Extracting #3: cost 7 inf + 43 13.457 * * [simplify]: Extracting #4: cost 0 inf + 576 13.457 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 13.457 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (* 2.0 (* im im))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 13.457 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 13.457 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) 13.457 * * [simplify]: iters left: 6 (14 enodes) 13.462 * * [simplify]: iters left: 5 (62 enodes) 13.475 * * [simplify]: iters left: 4 (116 enodes) 13.514 * * [simplify]: iters left: 3 (268 enodes) 13.600 * * [simplify]: Extracting #0: cost 1 inf + 0 13.600 * * [simplify]: Extracting #1: cost 3 inf + 0 13.600 * * [simplify]: Extracting #2: cost 42 inf + 0 13.601 * * [simplify]: Extracting #3: cost 112 inf + 2 13.602 * * [simplify]: Extracting #4: cost 203 inf + 167 13.605 * * [simplify]: Extracting #5: cost 186 inf + 8333 13.616 * * [simplify]: Extracting #6: cost 64 inf + 50220 13.635 * * [simplify]: Extracting #7: cost 3 inf + 81117 13.656 * * [simplify]: Extracting #8: cost 0 inf + 82747 13.666 * [simplify]: Simplified to (sqrt (* (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))) 2.0)) 13.667 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (* (/ (* im im) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re)))) 2.0)) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))))))) 13.667 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 13.667 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) 13.667 * * [simplify]: iters left: 6 (12 enodes) 13.670 * * [simplify]: iters left: 5 (45 enodes) 13.677 * * [simplify]: iters left: 4 (98 enodes) 13.709 * * [simplify]: iters left: 3 (228 enodes) 13.804 * * [simplify]: Extracting #0: cost 1 inf + 0 13.804 * * [simplify]: Extracting #1: cost 3 inf + 0 13.804 * * [simplify]: Extracting #2: cost 53 inf + 0 13.805 * * [simplify]: Extracting #3: cost 131 inf + 43 13.807 * * [simplify]: Extracting #4: cost 144 inf + 2409 13.809 * * [simplify]: Extracting #5: cost 129 inf + 3842 13.812 * * [simplify]: Extracting #6: cost 99 inf + 7344 13.819 * * [simplify]: Extracting #7: cost 51 inf + 18818 13.831 * * [simplify]: Extracting #8: cost 0 inf + 33023 13.838 * [simplify]: Simplified to (sqrt (/ 2.0 (/ (* im im) (* im im)))) 13.838 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (/ 2.0 (/ (* im im) (* im im)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) 13.838 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 13.839 * [simplify]: Simplifying (sqrt (* 2.0 (* im im))) 13.839 * * [simplify]: iters left: 5 (5 enodes) 13.840 * * [simplify]: iters left: 4 (18 enodes) 13.843 * * [simplify]: iters left: 3 (22 enodes) 13.846 * * [simplify]: Extracting #0: cost 1 inf + 0 13.846 * * [simplify]: Extracting #1: cost 3 inf + 0 13.846 * * [simplify]: Extracting #2: cost 8 inf + 0 13.846 * * [simplify]: Extracting #3: cost 7 inf + 43 13.846 * * [simplify]: Extracting #4: cost 0 inf + 576 13.846 * [simplify]: Simplified to (sqrt (* 2.0 (* im im))) 13.846 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) 13.846 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 13.846 * [simplify]: Simplifying (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 13.847 * * [simplify]: iters left: 6 (10 enodes) 13.849 * * [simplify]: iters left: 5 (38 enodes) 13.855 * * [simplify]: iters left: 4 (57 enodes) 13.872 * * [simplify]: iters left: 3 (84 enodes) 13.895 * * [simplify]: iters left: 2 (124 enodes) 13.913 * * [simplify]: iters left: 1 (145 enodes) 13.940 * * [simplify]: Extracting #0: cost 1 inf + 0 13.940 * * [simplify]: Extracting #1: cost 16 inf + 0 13.941 * * [simplify]: Extracting #2: cost 40 inf + 2 13.941 * * [simplify]: Extracting #3: cost 46 inf + 375 13.942 * * [simplify]: Extracting #4: cost 36 inf + 1320 13.943 * * [simplify]: Extracting #5: cost 23 inf + 3790 13.947 * * [simplify]: Extracting #6: cost 0 inf + 8845 13.951 * [simplify]: Simplified to (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) 13.951 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2)))) 13.951 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 13.951 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 13.952 * [simplify]: Simplifying (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) 13.952 * * [simplify]: iters left: 6 (11 enodes) 13.957 * * [simplify]: iters left: 5 (41 enodes) 13.970 * * [simplify]: iters left: 4 (60 enodes) 13.989 * * [simplify]: iters left: 3 (87 enodes) 14.002 * * [simplify]: iters left: 2 (127 enodes) 14.025 * * [simplify]: iters left: 1 (148 enodes) 14.057 * * [simplify]: Extracting #0: cost 1 inf + 0 14.057 * * [simplify]: Extracting #1: cost 3 inf + 0 14.058 * * [simplify]: Extracting #2: cost 18 inf + 0 14.058 * * [simplify]: Extracting #3: cost 42 inf + 2 14.058 * * [simplify]: Extracting #4: cost 49 inf + 373 14.058 * * [simplify]: Extracting #5: cost 40 inf + 1156 14.059 * * [simplify]: Extracting #6: cost 29 inf + 2741 14.060 * * [simplify]: Extracting #7: cost 5 inf + 8360 14.062 * * [simplify]: Extracting #8: cost 0 inf + 9491 14.064 * [simplify]: Simplified to (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) 14.064 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (fabs (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))) 14.064 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 14.064 * * * * [progress]: [ 72 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 14.064 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 14.065 * [simplify]: Simplifying (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) 14.065 * * [simplify]: iters left: 6 (9 enodes) 14.067 * * [simplify]: iters left: 5 (30 enodes) 14.071 * * [simplify]: iters left: 4 (34 enodes) 14.076 * * [simplify]: iters left: 3 (39 enodes) 14.085 * * [simplify]: iters left: 2 (44 enodes) 14.098 * * [simplify]: iters left: 1 (52 enodes) 14.113 * * [simplify]: Extracting #0: cost 1 inf + 0 14.113 * * [simplify]: Extracting #1: cost 9 inf + 0 14.113 * * [simplify]: Extracting #2: cost 15 inf + 1 14.113 * * [simplify]: Extracting #3: cost 17 inf + 2 14.113 * * [simplify]: Extracting #4: cost 18 inf + 114 14.114 * * [simplify]: Extracting #5: cost 15 inf + 601 14.114 * * [simplify]: Extracting #6: cost 7 inf + 1413 14.115 * * [simplify]: Extracting #7: cost 0 inf + 3047 14.116 * [simplify]: Simplified to (exp (- (sqrt (+ (* re re) (* im im))) re)) 14.116 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (log (exp (- (sqrt (+ (* re re) (* im im))) re))))))) 14.116 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 14.116 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 14.116 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 14.116 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 14.116 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 14.116 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 14.117 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 14.117 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 14.117 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 14.117 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 14.117 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 14.117 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.117 * * [simplify]: iters left: 6 (9 enodes) 14.121 * * [simplify]: iters left: 5 (29 enodes) 14.128 * * [simplify]: Extracting #0: cost 1 inf + 0 14.129 * * [simplify]: Extracting #1: cost 4 inf + 0 14.129 * * [simplify]: Extracting #2: cost 8 inf + 0 14.129 * * [simplify]: Extracting #3: cost 9 inf + 1 14.129 * * [simplify]: Extracting #4: cost 11 inf + 42 14.129 * * [simplify]: Extracting #5: cost 12 inf + 124 14.129 * * [simplify]: Extracting #6: cost 8 inf + 248 14.129 * * [simplify]: Extracting #7: cost 5 inf + 654 14.130 * * [simplify]: Extracting #8: cost 2 inf + 1300 14.130 * * [simplify]: Extracting #9: cost 0 inf + 1784 14.131 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 14.131 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 14.131 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.131 * * [simplify]: iters left: 6 (9 enodes) 14.135 * * [simplify]: iters left: 5 (30 enodes) 14.143 * * [simplify]: iters left: 4 (33 enodes) 14.151 * * [simplify]: Extracting #0: cost 1 inf + 0 14.152 * * [simplify]: Extracting #1: cost 5 inf + 0 14.152 * * [simplify]: Extracting #2: cost 10 inf + 0 14.152 * * [simplify]: Extracting #3: cost 11 inf + 1 14.152 * * [simplify]: Extracting #4: cost 10 inf + 245 14.152 * * [simplify]: Extracting #5: cost 12 inf + 286 14.152 * * [simplify]: Extracting #6: cost 8 inf + 410 14.152 * * [simplify]: Extracting #7: cost 6 inf + 694 14.153 * * [simplify]: Extracting #8: cost 1 inf + 1744 14.154 * * [simplify]: Extracting #9: cost 0 inf + 1946 14.155 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.155 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 14.155 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 14.155 * [simplify]: Simplifying (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.155 * * [simplify]: iters left: 6 (9 enodes) 14.159 * * [simplify]: iters left: 5 (29 enodes) 14.164 * * [simplify]: Extracting #0: cost 1 inf + 0 14.165 * * [simplify]: Extracting #1: cost 4 inf + 0 14.165 * * [simplify]: Extracting #2: cost 8 inf + 0 14.165 * * [simplify]: Extracting #3: cost 9 inf + 1 14.165 * * [simplify]: Extracting #4: cost 11 inf + 42 14.165 * * [simplify]: Extracting #5: cost 12 inf + 124 14.165 * * [simplify]: Extracting #6: cost 8 inf + 248 14.165 * * [simplify]: Extracting #7: cost 5 inf + 654 14.165 * * [simplify]: Extracting #8: cost 2 inf + 1300 14.165 * * [simplify]: Extracting #9: cost 0 inf + 1784 14.166 * [simplify]: Simplified to (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) 14.166 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 14.166 * [simplify]: Simplifying (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.166 * * [simplify]: iters left: 6 (9 enodes) 14.168 * * [simplify]: iters left: 5 (30 enodes) 14.172 * * [simplify]: iters left: 4 (33 enodes) 14.176 * * [simplify]: Extracting #0: cost 1 inf + 0 14.176 * * [simplify]: Extracting #1: cost 5 inf + 0 14.176 * * [simplify]: Extracting #2: cost 10 inf + 0 14.176 * * [simplify]: Extracting #3: cost 11 inf + 1 14.176 * * [simplify]: Extracting #4: cost 10 inf + 245 14.176 * * [simplify]: Extracting #5: cost 12 inf + 286 14.176 * * [simplify]: Extracting #6: cost 8 inf + 410 14.177 * * [simplify]: Extracting #7: cost 6 inf + 694 14.177 * * [simplify]: Extracting #8: cost 1 inf + 1744 14.177 * * [simplify]: Extracting #9: cost 0 inf + 1946 14.178 * [simplify]: Simplified to (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 14.178 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))))) 14.178 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 14.178 * [simplify]: Simplifying (- (sqrt (+ (* re re) (* im im))) re) 14.178 * * [simplify]: iters left: 6 (7 enodes) 14.179 * * [simplify]: iters left: 5 (24 enodes) 14.182 * * [simplify]: iters left: 4 (27 enodes) 14.186 * * [simplify]: Extracting #0: cost 1 inf + 0 14.186 * * [simplify]: Extracting #1: cost 5 inf + 0 14.186 * * [simplify]: Extracting #2: cost 7 inf + 1 14.186 * * [simplify]: Extracting #3: cost 8 inf + 83 14.186 * * [simplify]: Extracting #4: cost 10 inf + 124 14.186 * * [simplify]: Extracting #5: cost 6 inf + 248 14.187 * * [simplify]: Extracting #6: cost 3 inf + 654 14.187 * * [simplify]: Extracting #7: cost 1 inf + 1018 14.187 * * [simplify]: Extracting #8: cost 0 inf + 1220 14.187 * [simplify]: Simplified to (- (sqrt (+ (* re re) (* im im))) re) 14.187 * [simplify]: Simplified (2 2 1 2 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* 1 (- (sqrt (+ (* re re) (* im im))) re)))))) 14.187 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 14.187 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 14.187 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 14.188 * [simplify]: Simplifying im 14.188 * * [simplify]: iters left: 0 (1 enodes) 14.188 * * [simplify]: Extracting #0: cost 1 inf + 0 14.188 * * [simplify]: Extracting #1: cost 0 inf + 1 14.188 * [simplify]: Simplified to im 14.188 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- im re))))) 14.188 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 14.188 * [simplify]: Simplifying re 14.188 * * [simplify]: iters left: 0 (1 enodes) 14.188 * * [simplify]: Extracting #0: cost 1 inf + 0 14.188 * * [simplify]: Extracting #1: cost 0 inf + 1 14.188 * [simplify]: Simplified to re 14.188 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- re re))))) 14.189 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 14.189 * [simplify]: Simplifying (* -1 re) 14.189 * * [simplify]: iters left: 2 (3 enodes) 14.190 * * [simplify]: iters left: 1 (11 enodes) 14.193 * * [simplify]: Extracting #0: cost 1 inf + 0 14.193 * * [simplify]: Extracting #1: cost 4 inf + 0 14.193 * * [simplify]: Extracting #2: cost 0 inf + 84 14.193 * [simplify]: Simplified to (- re) 14.193 * [simplify]: Simplified (2 2 1 2 1) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- (- re) re))))) 14.193 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 14.193 * [simplify]: Simplifying (* 4.0 re) 14.193 * * [simplify]: iters left: 2 (3 enodes) 14.195 * * [simplify]: iters left: 1 (10 enodes) 14.198 * * [simplify]: Extracting #0: cost 1 inf + 0 14.198 * * [simplify]: Extracting #1: cost 4 inf + 0 14.198 * * [simplify]: Extracting #2: cost 2 inf + 2 14.198 * * [simplify]: Extracting #3: cost 0 inf + 86 14.198 * [simplify]: Simplified to (* 4.0 re) 14.198 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 4.0 re)))) 14.198 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 14.199 * [simplify]: Simplifying (+ (* 2.0 re) (* 2.0 im)) 14.199 * * [simplify]: iters left: 4 (6 enodes) 14.204 * * [simplify]: iters left: 3 (23 enodes) 14.211 * * [simplify]: iters left: 2 (28 enodes) 14.219 * * [simplify]: Extracting #0: cost 1 inf + 0 14.219 * * [simplify]: Extracting #1: cost 6 inf + 0 14.219 * * [simplify]: Extracting #2: cost 10 inf + 1 14.219 * * [simplify]: Extracting #3: cost 8 inf + 3 14.219 * * [simplify]: Extracting #4: cost 0 inf + 501 14.220 * * [simplify]: Extracting #5: cost 0 inf + 421 14.220 * [simplify]: Simplified to (* 2.0 (+ re im)) 14.220 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* 2.0 (+ re im))))) 14.220 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 14.220 * [simplify]: Simplifying 0 14.220 * * [simplify]: iters left: 0 (1 enodes) 14.221 * * [simplify]: Extracting #0: cost 1 inf + 0 14.221 * * [simplify]: Extracting #1: cost 0 inf + 1 14.221 * [simplify]: Simplified to 0 14.221 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt 0))) 14.221 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 14.222 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 14.222 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.222 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 14.222 * [simplify]: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 14.222 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.222 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 14.223 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 14.223 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 14.223 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 14.223 * [simplify]: Simplifying (- im re) 14.223 * * [simplify]: iters left: 2 (3 enodes) 14.224 * * [simplify]: iters left: 1 (11 enodes) 14.227 * * [simplify]: Extracting #0: cost 1 inf + 0 14.227 * * [simplify]: Extracting #1: cost 5 inf + 0 14.227 * * [simplify]: Extracting #2: cost 3 inf + 43 14.227 * * [simplify]: Extracting #3: cost 0 inf + 168 14.228 * [simplify]: Simplified to (- im re) 14.228 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (- im re))))) 14.228 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 14.228 * [simplify]: Simplifying 0 14.228 * * [simplify]: iters left: 0 (1 enodes) 14.229 * * [simplify]: Extracting #0: cost 1 inf + 0 14.229 * * [simplify]: Extracting #1: cost 0 inf + 1 14.229 * [simplify]: Simplified to 0 14.229 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) 0)))) 14.229 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 14.229 * [simplify]: Simplifying (* -2 re) 14.229 * * [simplify]: iters left: 2 (3 enodes) 14.231 * * [simplify]: iters left: 1 (10 enodes) 14.234 * * [simplify]: Extracting #0: cost 1 inf + 0 14.234 * * [simplify]: Extracting #1: cost 4 inf + 0 14.234 * * [simplify]: Extracting #2: cost 2 inf + 2 14.234 * * [simplify]: Extracting #3: cost 0 inf + 86 14.234 * [simplify]: Simplified to (* -2 re) 14.234 * [simplify]: Simplified (2 2 1 2) to (λ (re im) (* 0.5 (sqrt (/ (* 2.0 (* im im)) (* -2 re))))) 14.235 * * * [progress]: adding candidates to table 15.184 * * [progress]: iteration 4 / 4 15.184 * * * [progress]: picking best candidate 15.220 * * * * [pick]: Picked # 15.220 * * * [progress]: localizing error 15.241 * * * [progress]: generating rewritten candidates 15.241 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 15.256 * * * [progress]: generating series expansions 15.256 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 15.256 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ re im))) into (* (sqrt 2.0) (sqrt (+ re im))) 15.256 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re im))) in (re im) around 0 15.256 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re im))) in im 15.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.256 * [taylor]: Taking taylor expansion of 2.0 in im 15.256 * [backup-simplify]: Simplify 2.0 into 2.0 15.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.258 * [taylor]: Taking taylor expansion of (sqrt (+ re im)) in im 15.258 * [taylor]: Taking taylor expansion of (+ re im) in im 15.258 * [taylor]: Taking taylor expansion of re in im 15.258 * [backup-simplify]: Simplify re into re 15.258 * [taylor]: Taking taylor expansion of im in im 15.258 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify 1 into 1 15.258 * [backup-simplify]: Simplify (+ re 0) into re 15.258 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 15.259 * [backup-simplify]: Simplify (+ 0 1) into 1 15.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt re))) into (* 1/2 (sqrt (/ 1 re))) 15.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re im))) in re 15.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 15.259 * [taylor]: Taking taylor expansion of 2.0 in re 15.259 * [backup-simplify]: Simplify 2.0 into 2.0 15.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.260 * [taylor]: Taking taylor expansion of (sqrt (+ re im)) in re 15.260 * [taylor]: Taking taylor expansion of (+ re im) in re 15.260 * [taylor]: Taking taylor expansion of re in re 15.260 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify 1 into 1 15.260 * [taylor]: Taking taylor expansion of im in re 15.260 * [backup-simplify]: Simplify im into im 15.260 * [backup-simplify]: Simplify (+ 0 im) into im 15.260 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 15.261 * [backup-simplify]: Simplify (+ 1 0) into 1 15.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 15.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re im))) in re 15.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 15.261 * [taylor]: Taking taylor expansion of 2.0 in re 15.261 * [backup-simplify]: Simplify 2.0 into 2.0 15.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.262 * [taylor]: Taking taylor expansion of (sqrt (+ re im)) in re 15.262 * [taylor]: Taking taylor expansion of (+ re im) in re 15.262 * [taylor]: Taking taylor expansion of re in re 15.262 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify 1 into 1 15.263 * [taylor]: Taking taylor expansion of im in re 15.263 * [backup-simplify]: Simplify im into im 15.263 * [backup-simplify]: Simplify (+ 0 im) into im 15.263 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 15.263 * [backup-simplify]: Simplify (+ 1 0) into 1 15.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 15.264 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 15.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 15.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.264 * [taylor]: Taking taylor expansion of 2.0 in im 15.264 * [backup-simplify]: Simplify 2.0 into 2.0 15.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.265 * [taylor]: Taking taylor expansion of (sqrt im) in im 15.265 * [taylor]: Taking taylor expansion of im in im 15.265 * [backup-simplify]: Simplify 0 into 0 15.265 * [backup-simplify]: Simplify 1 into 1 15.266 * [backup-simplify]: Simplify (sqrt 0) into 0 15.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.267 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 15.268 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 15.268 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 15.268 * [taylor]: Taking taylor expansion of 1/2 in im 15.268 * [backup-simplify]: Simplify 1/2 into 1/2 15.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 15.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.268 * [taylor]: Taking taylor expansion of 2.0 in im 15.268 * [backup-simplify]: Simplify 2.0 into 2.0 15.269 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 15.269 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.269 * [taylor]: Taking taylor expansion of im in im 15.269 * [backup-simplify]: Simplify 0 into 0 15.270 * [backup-simplify]: Simplify 1 into 1 15.270 * [backup-simplify]: Simplify (/ 1 1) into 1 15.270 * [backup-simplify]: Simplify (sqrt 0) into 0 15.271 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 15.274 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 15.278 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 15.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.281 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 15.283 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.284 * [backup-simplify]: Simplify (+ 0 0) into 0 15.284 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* -1/8 (sqrt (/ 1 (pow im 3)))) 15.285 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 15.286 * [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)))))) 15.286 * [taylor]: Taking taylor expansion of (- (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))))) in im 15.286 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 15.286 * [taylor]: Taking taylor expansion of 1/8 in im 15.286 * [backup-simplify]: Simplify 1/8 into 1/8 15.286 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 15.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.286 * [taylor]: Taking taylor expansion of 2.0 in im 15.286 * [backup-simplify]: Simplify 2.0 into 2.0 15.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.287 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 15.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 15.287 * [taylor]: Taking taylor expansion of (pow im 3) in im 15.287 * [taylor]: Taking taylor expansion of im in im 15.287 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify 1 into 1 15.288 * [backup-simplify]: Simplify (* 1 1) into 1 15.288 * [backup-simplify]: Simplify (* 1 1) into 1 15.289 * [backup-simplify]: Simplify (/ 1 1) into 1 15.289 * [backup-simplify]: Simplify (sqrt 0) into 0 15.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.295 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 15.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 15.299 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 15.302 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 15.302 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 15.306 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 15.308 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 15.309 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.312 * [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))))))) 15.312 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (/ 1 re) (/ 1 im)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))) 15.312 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))) in (re im) around 0 15.312 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))) in im 15.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.312 * [taylor]: Taking taylor expansion of 2.0 in im 15.312 * [backup-simplify]: Simplify 2.0 into 2.0 15.312 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in im 15.313 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im 15.313 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.313 * [taylor]: Taking taylor expansion of re in im 15.313 * [backup-simplify]: Simplify re into re 15.313 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.313 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.313 * [taylor]: Taking taylor expansion of im in im 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 1 into 1 15.313 * [backup-simplify]: Simplify (/ 1 1) into 1 15.313 * [backup-simplify]: Simplify (+ 0 1) into 1 15.314 * [backup-simplify]: Simplify (sqrt 0) into 0 15.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.314 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))) in re 15.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 15.314 * [taylor]: Taking taylor expansion of 2.0 in re 15.315 * [backup-simplify]: Simplify 2.0 into 2.0 15.315 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re 15.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re 15.315 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.315 * [taylor]: Taking taylor expansion of re in re 15.315 * [backup-simplify]: Simplify 0 into 0 15.315 * [backup-simplify]: Simplify 1 into 1 15.316 * [backup-simplify]: Simplify (/ 1 1) into 1 15.316 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.316 * [taylor]: Taking taylor expansion of im in re 15.316 * [backup-simplify]: Simplify im into im 15.316 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.316 * [backup-simplify]: Simplify (+ 1 0) into 1 15.316 * [backup-simplify]: Simplify (sqrt 0) into 0 15.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (/ 1 im)))) in re 15.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 15.317 * [taylor]: Taking taylor expansion of 2.0 in re 15.317 * [backup-simplify]: Simplify 2.0 into 2.0 15.317 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (/ 1 im))) in re 15.318 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re 15.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.318 * [taylor]: Taking taylor expansion of re in re 15.318 * [backup-simplify]: Simplify 0 into 0 15.318 * [backup-simplify]: Simplify 1 into 1 15.318 * [backup-simplify]: Simplify (/ 1 1) into 1 15.318 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.318 * [taylor]: Taking taylor expansion of im in re 15.318 * [backup-simplify]: Simplify im into im 15.318 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.318 * [backup-simplify]: Simplify (+ 1 0) into 1 15.319 * [backup-simplify]: Simplify (sqrt 0) into 0 15.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 15.320 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 15.320 * [taylor]: Taking taylor expansion of 0 in im 15.320 * [backup-simplify]: Simplify 0 into 0 15.321 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 15.321 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 15.321 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 15.321 * [taylor]: Taking taylor expansion of +nan.0 in im 15.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.321 * [taylor]: Taking taylor expansion of 2.0 in im 15.321 * [backup-simplify]: Simplify 2.0 into 2.0 15.321 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.322 * [backup-simplify]: Simplify 0 into 0 15.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.322 * [backup-simplify]: Simplify (+ 0 (/ 1 im)) into (/ 1 im) 15.323 * [backup-simplify]: Simplify (/ (- (/ 1 im) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 im) +nan.0)) 15.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 15.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im))))) 15.325 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im))))) in im 15.325 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im)))) in im 15.325 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 15.325 * [taylor]: Taking taylor expansion of +nan.0 in im 15.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.325 * [taylor]: Taking taylor expansion of 2.0 in im 15.325 * [backup-simplify]: Simplify 2.0 into 2.0 15.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) im))) in im 15.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) im)) in im 15.326 * [taylor]: Taking taylor expansion of +nan.0 in im 15.326 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.326 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 15.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.326 * [taylor]: Taking taylor expansion of 2.0 in im 15.326 * [backup-simplify]: Simplify 2.0 into 2.0 15.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.326 * [taylor]: Taking taylor expansion of im in im 15.326 * [backup-simplify]: Simplify 0 into 0 15.326 * [backup-simplify]: Simplify 1 into 1 15.327 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 15.328 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 15.329 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.330 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 15.331 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 15.332 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.333 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 15.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.335 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.335 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.336 * [backup-simplify]: Simplify (+ 0 0) into 0 15.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 im) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 im)) (- +nan.0))) 15.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 15.340 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 im)) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (/ 1 im) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im))))) 15.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im))))) in im 15.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) im)))) in im 15.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 15.340 * [taylor]: Taking taylor expansion of +nan.0 in im 15.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.340 * [taylor]: Taking taylor expansion of 2.0 in im 15.340 * [backup-simplify]: Simplify 2.0 into 2.0 15.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) im))) in im 15.341 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) im)) in im 15.341 * [taylor]: Taking taylor expansion of +nan.0 in im 15.342 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 15.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 15.342 * [taylor]: Taking taylor expansion of 2.0 in im 15.342 * [backup-simplify]: Simplify 2.0 into 2.0 15.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 15.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 15.343 * [taylor]: Taking taylor expansion of im in im 15.343 * [backup-simplify]: Simplify 0 into 0 15.343 * [backup-simplify]: Simplify 1 into 1 15.344 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 15.345 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 15.346 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.349 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 15.351 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 15.352 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 15.357 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 im)) (pow (/ 1 re) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 im)) (/ 1 re))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) im) re)) (- (* +nan.0 (/ (* (sqrt 2.0) im) (pow re 2)))))))) 15.357 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (/ 1 (- re)) (/ 1 (- im))))) into (sqrt (* -2.0 (+ (/ 1 re) (/ 1 im)))) 15.358 * [approximate]: Taking taylor expansion of (sqrt (* -2.0 (+ (/ 1 re) (/ 1 im)))) in (re im) around 0 15.358 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (+ (/ 1 re) (/ 1 im)))) in im 15.358 * [taylor]: Taking taylor expansion of (* -2.0 (+ (/ 1 re) (/ 1 im))) in im 15.358 * [taylor]: Taking taylor expansion of -2.0 in im 15.358 * [backup-simplify]: Simplify -2.0 into -2.0 15.358 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in im 15.358 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.358 * [taylor]: Taking taylor expansion of re in im 15.358 * [backup-simplify]: Simplify re into re 15.358 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.358 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.358 * [taylor]: Taking taylor expansion of im in im 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify 1 into 1 15.358 * [backup-simplify]: Simplify (/ 1 1) into 1 15.359 * [backup-simplify]: Simplify (+ 0 1) into 1 15.359 * [backup-simplify]: Simplify (* -2.0 1) into -2.0 15.360 * [backup-simplify]: Simplify (sqrt 0) into 0 15.361 * [backup-simplify]: Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0 15.361 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (+ (/ 1 re) (/ 1 im)))) in re 15.361 * [taylor]: Taking taylor expansion of (* -2.0 (+ (/ 1 re) (/ 1 im))) in re 15.361 * [taylor]: Taking taylor expansion of -2.0 in re 15.361 * [backup-simplify]: Simplify -2.0 into -2.0 15.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re 15.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.361 * [taylor]: Taking taylor expansion of re in re 15.361 * [backup-simplify]: Simplify 0 into 0 15.361 * [backup-simplify]: Simplify 1 into 1 15.362 * [backup-simplify]: Simplify (/ 1 1) into 1 15.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.362 * [taylor]: Taking taylor expansion of im in re 15.362 * [backup-simplify]: Simplify im into im 15.362 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.362 * [backup-simplify]: Simplify (+ 1 0) into 1 15.363 * [backup-simplify]: Simplify (* -2.0 1) into -2.0 15.363 * [backup-simplify]: Simplify (sqrt 0) into 0 15.365 * [backup-simplify]: Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0 15.365 * [taylor]: Taking taylor expansion of (sqrt (* -2.0 (+ (/ 1 re) (/ 1 im)))) in re 15.365 * [taylor]: Taking taylor expansion of (* -2.0 (+ (/ 1 re) (/ 1 im))) in re 15.365 * [taylor]: Taking taylor expansion of -2.0 in re 15.365 * [backup-simplify]: Simplify -2.0 into -2.0 15.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (/ 1 im)) in re 15.365 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.365 * [taylor]: Taking taylor expansion of re in re 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 1 into 1 15.365 * [backup-simplify]: Simplify (/ 1 1) into 1 15.365 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.365 * [taylor]: Taking taylor expansion of im in re 15.365 * [backup-simplify]: Simplify im into im 15.365 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.366 * [backup-simplify]: Simplify (+ 1 0) into 1 15.366 * [backup-simplify]: Simplify (* -2.0 1) into -2.0 15.367 * [backup-simplify]: Simplify (sqrt 0) into 0 15.368 * [backup-simplify]: Simplify (/ -2.0 (* 2 (sqrt 0))) into +nan.0 15.368 * [taylor]: Taking taylor expansion of 0 in im 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [taylor]: Taking taylor expansion of +nan.0 in im 15.368 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.368 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.369 * [backup-simplify]: Simplify (+ 0 (/ 1 im)) into (/ 1 im) 15.369 * [backup-simplify]: Simplify (+ (* -2.0 (/ 1 im)) (* 0 1)) into (- (* 2.0 (/ 1 im))) 15.371 * [backup-simplify]: Simplify (/ (- (- (* 2.0 (/ 1 im))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2.0 (/ 1 im)) (- +nan.0))) 15.371 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 2.0 (/ 1 im)) (- +nan.0))) in im 15.371 * [taylor]: Taking taylor expansion of +nan.0 in im 15.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.371 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 im)) (- +nan.0)) in im 15.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 im)) in im 15.371 * [taylor]: Taking taylor expansion of 2.0 in im 15.371 * [backup-simplify]: Simplify 2.0 into 2.0 15.371 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.371 * [taylor]: Taking taylor expansion of im in im 15.371 * [backup-simplify]: Simplify 0 into 0 15.371 * [backup-simplify]: Simplify 1 into 1 15.371 * [backup-simplify]: Simplify (/ 1 1) into 1 15.371 * [taylor]: Taking taylor expansion of (- +nan.0) in im 15.371 * [taylor]: Taking taylor expansion of +nan.0 in im 15.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.372 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 15.372 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 15.373 * [backup-simplify]: Simplify (* +nan.0 2.0) into +nan.0 15.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.373 * [backup-simplify]: Simplify 0 into 0 15.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.374 * [backup-simplify]: Simplify (+ 0 0) into 0 15.375 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 (/ 1 im)) (* 0 1))) into 0 15.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 2.0 (/ 1 im)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 im)) (- +nan.0))) 15.383 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 im)) (- +nan.0))) in im 15.383 * [taylor]: Taking taylor expansion of +nan.0 in im 15.383 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.383 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 im)) (- +nan.0)) in im 15.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 im)) in im 15.383 * [taylor]: Taking taylor expansion of +nan.0 in im 15.383 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.383 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.383 * [taylor]: Taking taylor expansion of im in im 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.384 * [backup-simplify]: Simplify (/ 1 1) into 1 15.384 * [taylor]: Taking taylor expansion of (- +nan.0) in im 15.384 * [taylor]: Taking taylor expansion of +nan.0 in im 15.384 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.384 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 15.385 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 15.386 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 15.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 15.386 * [backup-simplify]: Simplify (+ (* +nan.0 (* (/ 1 (/ 1 (- im))) (pow (/ 1 (- re)) 2))) (+ +nan.0 (* +nan.0 (* (/ 1 (/ 1 (- im))) (/ 1 (- re)))))) into (- (+ (* +nan.0 (/ im (pow re 2))) (- (+ (* +nan.0 (/ im re)) (- +nan.0))))) 15.386 * * * [progress]: simplifying candidates 15.386 * * * * [progress]: [ 1 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 2 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 3 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 4 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 5 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 6 / 17 ] simplifiying candidate # 15.387 * * * * [progress]: [ 7 / 17 ] simplifiying candidate # 15.387 * [simplify]: Simplifying (sqrt 2.0) 15.387 * * [simplify]: iters left: 1 (2 enodes) 15.389 * * [simplify]: Extracting #0: cost 1 inf + 0 15.389 * * [simplify]: Extracting #1: cost 3 inf + 0 15.389 * * [simplify]: Extracting #2: cost 2 inf + 1 15.389 * * [simplify]: Extracting #3: cost 0 inf + 83 15.389 * [simplify]: Simplified to (sqrt 2.0) 15.389 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt 2.0) (sqrt (+ re im))))) 15.389 * * * * [progress]: [ 8 / 17 ] simplifiying candidate # 15.390 * [simplify]: Simplifying (sqrt (* 2.0 (+ (pow re 3) (pow im 3)))) 15.390 * * [simplify]: iters left: 6 (9 enodes) 15.396 * * [simplify]: iters left: 5 (48 enodes) 15.417 * * [simplify]: iters left: 4 (109 enodes) 15.457 * * [simplify]: iters left: 3 (204 enodes) 15.510 * * [simplify]: iters left: 2 (380 enodes) 15.666 * * [simplify]: Extracting #0: cost 1 inf + 0 15.666 * * [simplify]: Extracting #1: cost 3 inf + 0 15.666 * * [simplify]: Extracting #2: cost 8 inf + 0 15.666 * * [simplify]: Extracting #3: cost 62 inf + 1 15.667 * * [simplify]: Extracting #4: cost 147 inf + 3 15.669 * * [simplify]: Extracting #5: cost 114 inf + 5604 15.676 * * [simplify]: Extracting #6: cost 22 inf + 45412 15.685 * * [simplify]: Extracting #7: cost 0 inf + 57429 15.695 * [simplify]: Simplified to (sqrt (* 2.0 (+ (* re (* re re)) (* (* im im) im)))) 15.695 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (+ (* re (* re re)) (* (* im im) im)))) (sqrt (+ (* re re) (- (* im im) (* re im))))))) 15.695 * * * * [progress]: [ 9 / 17 ] simplifiying candidate # 15.695 * [simplify]: Simplifying (sqrt (* 2.0 (- (* re re) (* im im)))) 15.695 * * [simplify]: iters left: 6 (8 enodes) 15.699 * * [simplify]: iters left: 5 (30 enodes) 15.704 * * [simplify]: iters left: 4 (53 enodes) 15.714 * * [simplify]: iters left: 3 (115 enodes) 15.745 * * [simplify]: iters left: 2 (285 enodes) 15.852 * * [simplify]: Extracting #0: cost 1 inf + 0 15.852 * * [simplify]: Extracting #1: cost 3 inf + 0 15.853 * * [simplify]: Extracting #2: cost 47 inf + 0 15.853 * * [simplify]: Extracting #3: cost 117 inf + 1 15.854 * * [simplify]: Extracting #4: cost 115 inf + 1679 15.856 * * [simplify]: Extracting #5: cost 32 inf + 12356 15.862 * * [simplify]: Extracting #6: cost 0 inf + 16716 15.870 * [simplify]: Simplified to (sqrt (* (- (* re re) (* im im)) 2.0)) 15.870 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (- (* re re) (* im im)) 2.0)) (sqrt (- re im))))) 15.871 * * * * [progress]: [ 10 / 17 ] simplifiying candidate # 15.871 * [simplify]: Simplifying (* 2.0 (+ re im)) 15.871 * * [simplify]: iters left: 4 (5 enodes) 15.874 * * [simplify]: iters left: 3 (23 enodes) 15.882 * * [simplify]: iters left: 2 (33 enodes) 15.888 * * [simplify]: Extracting #0: cost 1 inf + 0 15.888 * * [simplify]: Extracting #1: cost 6 inf + 0 15.888 * * [simplify]: Extracting #2: cost 10 inf + 1 15.888 * * [simplify]: Extracting #3: cost 4 inf + 171 15.888 * * [simplify]: Extracting #4: cost 1 inf + 338 15.889 * * [simplify]: Extracting #5: cost 0 inf + 421 15.889 * [simplify]: Simplified to (* (+ re im) 2.0) 15.889 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re im) 2.0) (/ 1 2)))) 15.889 * * * * [progress]: [ 11 / 17 ] simplifiying candidate # 15.889 * [simplify]: Simplifying (* 2.0 (+ re im)) 15.889 * * [simplify]: iters left: 4 (5 enodes) 15.891 * * [simplify]: iters left: 3 (23 enodes) 15.895 * * [simplify]: iters left: 2 (33 enodes) 15.899 * * [simplify]: Extracting #0: cost 1 inf + 0 15.899 * * [simplify]: Extracting #1: cost 6 inf + 0 15.899 * * [simplify]: Extracting #2: cost 10 inf + 1 15.899 * * [simplify]: Extracting #3: cost 4 inf + 171 15.899 * * [simplify]: Extracting #4: cost 1 inf + 338 15.899 * * [simplify]: Extracting #5: cost 0 inf + 421 15.899 * [simplify]: Simplified to (* (+ re im) 2.0) 15.899 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re im) 2.0) (/ 1 2)))) 15.899 * * * * [progress]: [ 12 / 17 ] simplifiying candidate # 15.899 * * * * [progress]: [ 13 / 17 ] simplifiying candidate # 15.899 * * * * [progress]: [ 14 / 17 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ re im)))))))> 15.899 * * * * [progress]: [ 15 / 17 ] simplifiying candidate # 15.900 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 15.900 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 15.900 * * * * [progress]: [ 16 / 17 ] simplifiying candidate # 15.900 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) im) re)) (- (* +nan.0 (/ (* (sqrt 2.0) im) (pow re 2)))))))) 15.900 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 15.900 * * * * [progress]: [ 17 / 17 ] simplifiying candidate # 15.900 * [simplify]: Simplifying (- (+ (* +nan.0 (/ im (pow re 2))) (- (+ (* +nan.0 (/ im re)) (- +nan.0))))) 15.900 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 15.900 * * * [progress]: adding candidates to table 15.984 * [progress]: [Phase 3 of 3] Extracting. 15.984 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 15.985 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 15.985 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 16.047 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 16.106 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 16.162 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 16.250 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 16.324 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 16.413 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 16.489 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # #) 16.584 * * * [regime]: Found split indices: #